set SURFBOARDS;
set MATERIALS;

param Coefficient {SURFBOARDS};
param Exponent {SURFBOARDS};

param Supply {MATERIALS};

param Recipe {MATERIALS, SURFBOARDS};

var Price {SURFBOARDS};
var Production {SURFBOARDS} >= 0, integer;

maximize TotalProfit:
  sum {s in SURFBOARDS} Price[s] * Production[s];

subject to MaterialSupply {m in MATERIALS} :
  sum {s in SURFBOARDS} Recipe[m, s] * Production[s] <= Supply[m];

subject to SurfboardDemand {s in SURFBOARDS} :
  Production[s] <= Coefficient[s] * (Price[s] ^ Exponent[s]);