Give the mathematical formulation of the linear programming problem. Graph the feasible region described by the constraints and find the corner points. Do not attempt to solve.Suppose an horse feed to be mixed from soybean meal and oats must contain at least 200 lb of protein and 40 lb of fat. Each sack of soybean meal costs $20 and contains 60 lb of protein and 10 lb of fat. Each sack of oats costs $10 and contains 20 lb of protein and 5 lb of fat. How many sacks of each should be used to satisfy the minimum requirements at minimum cost?

What will be an ideal response?


Minimize C = 20x + 10y
Subject to 60x + 20y ? 200
   10x + 5y ? 40
   x ? 0, y ? 0



Corner Points: A = (0, 10)
 B = (2, 4)
 C = (4, 0)

Mathematics

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