# Difference: HerdFeedingProblem (1 vs. 16)

#### Revision 162009-10-06 - MichaelOSullivan

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 META TOPICPARENT name="SubmitCaseStudy"
`<-- Ready to Review -->`
Line: 86 to 86

 FORM FIELD CaseStudyType FORM FIELD OperationsResearchTopics CaseStudyType DIYCaseStudy OperationsResearchTopics LinearProgramming, BlendingModels ApplicationAreas Farm Management
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|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 FORM FIELD ProblemFormulation FORM FIELD ComputationalModel ProblemFormulation Teaching Case Study: Student to complete ComputationalModel Teaching Case Study: Student to complete Results Teaching Case Study: Student to complete

#### Revision 152009-09-28 - MichaelOSullivan

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 META TOPICPARENT name="SubmitCaseStudy"
`<-- Ready to Review -->`
Line: 86 to 86

 FORM FIELD CaseStudyType FORM FIELD OperationsResearchTopics CaseStudyType DIYCaseStudy OperationsResearchTopics LinearProgramming, BlendingModels ApplicationAreas Farm Management
Changed:
<
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|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 FORM FIELD ProblemFormulation FORM FIELD ComputationalModel ProblemFormulation Teaching Case Study: Student to complete ComputationalModel Teaching Case Study: Student to complete Results Teaching Case Study: Student to complete

#### Revision 142008-04-02 - MichaelOSullivan

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 META TOPICPARENT name="SubmitCaseStudy"
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## Computational Model

Teaching Case Study: Student to complete

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## Results

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## Conclusions

Teaching Case Study: Student to complete

#### Revision 132008-03-09 - MichaelOSullivan

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 META TOPICPARENT name="SubmitCaseStudy"
`<-- Ready to Review -->`
Line: 86 to 86

 FORM FIELD CaseStudyType FORM FIELD OperationsResearchTopics CaseStudyType DIYCaseStudy OperationsResearchTopics LinearProgramming, BlendingModels ApplicationAreas Farm Management
Changed:
<
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|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 FORM FIELD ProblemFormulation FORM FIELD ComputationalModel ProblemFormulation Teaching Case Study: Student to complete ComputationalModel Teaching Case Study: Student to complete Results Teaching Case Study: Student to complete Conclusions Teaching Case Study: Student to complete ExtraForExperts
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1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to solve find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.

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>
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1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.

|

 META FILEATTACHMENT attachment="feed_solution.jpg" attr="h" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="feed_table.jpg" attr="h" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="milk_table.jpg" attr="h" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1"

#### Revision 122008-03-01 - TWikiAdminUser

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 META TOPICPARENT name="SubmitCaseStudy"
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## Problem Description

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.

Line: 36 to 34

## Problem Formulation

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## Results

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## Conclusions

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```<--

1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in  Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.

-->```

#### Revision 112008-03-01 - TWikiAdminUser

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 META TOPICPARENT name="SubmitCaseStudy"
`<-- Ready to Review -->`
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## Problem Description

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.

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## Results

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## Conclusions

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#### Revision 102008-02-29 - TWikiAdminUser

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 META TOPICPARENT name="SubmitCaseStudy"
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#### Revision 92008-02-29 - TWikiAdminUser

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 META TOPICPARENT name="SubmitCaseStudy"
`<-- Ready to Review -->`
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## Problem Description

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.

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1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.

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 META FORM FORM FIELD Title name="OpsRes.CaseStudyForm" Title The Herd Feeding Problem

#### Revision 82008-02-29 - TWikiAdminUser

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 META TOPICPARENT name="SubmitCaseStudy"
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## Problem Description

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 META FORM FORM FIELD Title name="OpsRes.CaseStudyForm" Title The Herd Feeding Problem DateSubmitted 18 Feb 2008
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 FORM FIELD CaseStudyType CaseStudyType DIYCaseStudy

 FORM FIELD OperationsResearchTopics FORM FIELD ApplicationAreas OperationsResearchTopics LinearProgramming, BlendingModels ApplicationAreas Farm Management
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

#### Revision 72008-02-29 - TWikiAdminUser

Line: 1 to 1

 META TOPICPARENT name="SubmitCaseStudy"
`<-- Ready to Review -->`
Line: 83 to 83

 FORM FIELD Conclusions FORM FIELD ExtraForExperts Conclusions Teaching Case Study: Student to complete ExtraForExperts
1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to solve find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.

|
Changed:
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 META FILEATTACHMENT attachment="feed_solution.jpg" attr="" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="feed_table.jpg" attr="" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="milk_table.jpg" attr="" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
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 META FILEATTACHMENT attachment="feed_solution.jpg" attr="h" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="feed_table.jpg" attr="h" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="milk_table.jpg" attr="h" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="herd.xls" attr="" comment="" date="1204326061" name="herd.xls" path="herd.xls" size="22528" stream="herd.xls" tmpFilename="" user="BaseUserMapping_333" version="1"

 META TOPICMOVED by="MichaelOSullivan" date="1203845008" from="OpsRes.FeedingTheHerd" to="OpsRes.HerdFeedingProblem"

#### Revision 62008-02-25 - TWikiAdminUser

Line: 1 to 1

 META TOPICPARENT name="SubmitCaseStudy"
`<-- Ready to Review -->`
Line: 76 to 76

 FORM FIELD DateSubmitted FORM FIELD OperationsResearchTopics DateSubmitted 18 Feb 2008 OperationsResearchTopics LinearProgramming, BlendingModels ApplicationAreas Farm Management
Changed:
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|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table give a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 FORM FIELD ProblemFormulation FORM FIELD ComputationalModel ProblemFormulation Teaching Case Study: Student to complete ComputationalModel Teaching Case Study: Student to complete Results Teaching Case Study: Student to complete

#### Revision 52008-02-24 - MichaelOSullivan

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 META TOPICPARENT name="SubmitCaseStudy"
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`<-- Under Construction -->`
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`<-- Ready to Review -->`

#### Revision 42008-02-24 - MichaelOSullivan

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 META TOPICPARENT name="SubmitCaseStudy"
`<-- Under Construction -->`
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## Problem Description

Line: 73 to 72

 META FORM name="OpsRes.CaseStudyForm"
Changed:
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 FORM FIELD Title Title FeedingTheHerd
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 FORM FIELD Title Title The Herd Feeding Problem

 FORM FIELD DateSubmitted FORM FIELD OperationsResearchTopics DateSubmitted 18 Feb 2008 OperationsResearchTopics LinearProgramming ApplicationAreas Farm Management
Changed:
<
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|*FORM FIELD ProblemDescription*|ProblemDescription|*THE HERD FEEDING PROBLEM*

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table give a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 FORM FIELD ProblemFormulation FORM FIELD ComputationalModel ProblemFormulation The formulation... ComputationalModel The computational model... Results The results... Conclusions In conclusion...
>
>
|*FORM FIELD ProblemDescription*|ProblemDescription|*Adapted from a real-world problem*

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table give a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 FORM FIELD ProblemFormulation FORM FIELD ComputationalModel ProblemFormulation Teaching Case Study: Student to complete ComputationalModel Teaching Case Study: Student to complete Results Teaching Case Study: Student to complete Conclusions Teaching Case Study: Student to complete

 FORM FIELD ExtraForExperts ExtraForExperts
Changed:
<
<

1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to solve The Herd Feeding Problem. Write a management summary of your solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.

|
>
>
|*FORM FIELD StudentTasks*|StudentTasks| 1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to solve find a feeding solution.
1. Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.|

 META FILEATTACHMENT attachment="feed_solution.jpg" attr="" comment="" date="1203329762" name="feed_solution.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" size="15262" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_solution.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="feed_table.jpg" attr="" comment="" date="1203329786" name="feed_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" size="30893" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\feed_table.jpg" tmpFilename="" user="LaurenJackson" version="1" attachment="milk_table.jpg" attr="" comment="" date="1203329805" name="milk_table.jpg" path="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" size="9734" stream="C:\Users\Lauren Jackson\Documents\Desktop\Desktop stuff\Twiki\Twiki images\FeedingTheHerd\milk_table.jpg" tmpFilename="" user="LaurenJackson" version="1"
>
>
 META TOPICMOVED by="MichaelOSullivan" date="1203845008" from="OpsRes.FeedingTheHerd" to="OpsRes.HerdFeedingProblem"

#### Revision 32008-02-23 - MichaelOSullivan

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 META TOPICPARENT name="SubmitCaseStudy"
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`<-- Under Construction -->`

#### Revision 22008-02-18 - LaurenJackson

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 META TOPICPARENT name="SubmitCaseStudy"

#### Revision 12008-02-18 - LaurenJackson

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>
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 META TOPICPARENT name="SubmitCaseStudy"
```<--
This template controls both the look and functionality of case study topics.
You should not need to alter the layout, only edit the data using the form above.

Set the view and edit templates:
Comment out the next line to use the TWiki default view
Set VIEW_TEMPLATE = CaseStudyView

Comment out the next line to use the TWiki default edit
Set EDIT_TEMPLATE = CaseStudyEdit

-->```

```<--
This topic can only be changed by:
Set ALLOWTOPICCHANGE = TWikiAdminGroup, MaintenanceGroup, ContributorGroup

-->```

# Case Study: The Herd Feeding Problem

## Problem Description

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table gives a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each require 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain at least 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farmer wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.

## Problem Formulation

Teaching Case Study: Student to complete

## Computational Model

Teaching Case Study: Student to complete

## Results

Teaching Case Study: Student to complete

## Conclusions

Teaching Case Study: Student to complete

1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to find a feeding solution.Write a management summary of your feeding solution. Be sure to compare it to the consultant's solution.

What to hand in Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.

• feed_solution.jpg:

• feed_table.jpg:

• milk_table.jpg:

 META FORM FORM FIELD Title name="OpsRes.CaseStudyForm" Title FeedingTheHerd DateSubmitted 18 Feb 2008 OperationsResearchTopics LinearProgramming ApplicationAreas Farm Management
|*FORM FIELD ProblemDescription*|ProblemDescription|*THE HERD FEEDING PROBLEM*

Adapted from a real-world problem

When determining how to feed a herd of dairy cows, farmers need to take into account many different parameters, e.g.,

• How much milk they want the cows to produce;
• The price of the various feed types;
• If the cows are pregnant and how far through their pregnancy are they;
• How much pasture their farm currently has for grazing.

Farmers will often turn to farm consultants to help them make the best decision. In this case study we are going to analyse the decision suggested by a farm consultant.

The following table gives some typical amounts of MJME (megajoules of metabolisable energy) required for a cow each day in order for it to produce various amounts of milk that day.

Cows get MJME from their feed, or more specifically the amount of DM (dry matter) in their feed. The next table give a list of possible feed types, their cost, %DM, MJME per kgDM as well as their percentage of protein and NDF (neutral detergent fibre).

This month, a consultant has estimated that a herd of 350 cows each requires 180 MJME per day to produce 23 L of milk. For nutrition they need their feed to contain 17% protein and 32% NDF.

He also estimates the farm has 1920 kg of usable pasture.

His feed solution for each cow is given below.

The farm wants to know if this is the best possible solution.

For more information on MJME, DM, etc see Farmingshow.com - Straggle Muster 113.|

 FORM FIELD ProblemFormulation FORM FIELD ComputationalModel ProblemFormulation The formulation... ComputationalModel The computational model... Results The results... Conclusions In conclusion... ExtraForExperts
1. Write AMPL files `herd.mod`, `herd.dat` and `herd.run` to solve The Herd Feeding Problem. Write a management summary of your solution. Be sure to compare it to the consultant's solution.
What to hand in Your new AMPL files `herd.mod`, `herd.dat` and `herd.run`. Your management summary.