Suppose a horse feed to be mixed from soybean meal and oats must contain at least 160 lb of protein and at least 50 lb of fat. Each sack of soybean meal costs $30 and contains 20 lb of protein and 5 lb of fat. Each sack of oats costs $10 and contains 4 lb of protein and 2 lb of fat. Let x be the number of sacks of soybean meal, and y be the number of sacks of oats.

(a)Set up the objective function and list all of the constraints. Minimimize Cost = ___________________________ Subject to:

(b)How many sacks of each should be used to minimize cost?

(c)What is the minimum cost?