Formulate a linear programming problem to minimize cost.

2. A doctor tells a sick freshman to add bananas and oranges to his diet for Vitamin A, Vitamin B, and Vitamin C. A pound of bananas contributes 8 grams of Vitamin A, 6 grams of Vitamin B, and 2 grams of Vitamin C, while a pound of oranges contributes 2 grams of Vitamin A and 6 grams of Vitamin B. A pound of bananas costs $3.5 and a pound of oranges costs $5.4. The student has to meet a minimum requirement of 23 grams of Vitamin A, 37 grams of Vitamin B, and 6 grams of Vitamin C. He should avoid taking more than 50 grams of Vitamin A and 70 grams of Vitamin B to avoid side effects such as nausea. Formulate a linear programming problem to help the poor freshman choose the ideal fruit mix for recovery. LO.1