A company makes a multi-grain snack using 3 different grain types. Once the company purchases 3 grain types, first, the grains are mixed and milled to make dough. Grain type A contains 6% fat, 3% cholesterol, and 4% carbohydrate. Grain type B contains 3% fat, 6% cholesterol, and 3% carbohydrate. Grain type C contains 2% fat, 2% cholesterol, and 1% carbohydrate.
The costs per pound for grain type A, B and C are $5.99, $6.99. and $7.99, respectively.
For healthy and tasty, the company requires the followings:
(1) the fat content must be at least 2% and at most 5%,
(2) the cholesterol content must be less than or equal to 3%, and
(3) the carbohydrate content must be between 3% and 7%.
2. a) Please formulate as LP model to determine the optimum mix of the grains that should be used in producing 700 pounds of flour.
2. b) Please solve the LP model you created on 2. a) using LINDO and explain the output.