The Whole Food Nutrition center uses grains to blend a natural cereal that it sells by the pound. The cereal has to meet an average adult's minimum daily requirements of protein, carbohydrates, Iron, and fat. The center advertises that each two-ounce serving of the cereal, when taken with milk, meets the minimum daily requirements for an average adult. The following table shows the relevant information:
Grain Cost/pound Protein Carbohydrates Iron Fat
( cents) (units/LB) (units/LB) (units/LB) (units/LB)_____
A 33 22 16 8 5
B 47 28 14 7 0
C 38 21 25 ______ 9 6________
The minimum adult daily requirement (called the U.S. recommended daily allowance, or USRDA) for Protein is 3 units; for Carbohydrates is 2 units; for Iron is 1 unit, and for Fat is .425 units. The Company wants to select the blend that will meet the USRDA at a minimum cost.
Formulate a Linear Programming Model for this Company.