Set up the linear programming problem. A dietitian needs to purchase food for patients. She can purchase an ounce of chicken for $0.25 and an ounce of potatoes for $0.02. The dietician is bound by the following constraints.
Each ounce of chicken contains 13 grams of protein and 24 grams of carbohydrates.
Each ounce of potatoes contains 5 grams of protein and 35 grams of carbohydrates.
The minimum daily requirements for the patients under the dietitian's care are 45 grams of protein and 58 grams of carbohydrates.
Let x = the number of ounces of chicken and number of ounces of potatoes purchased per patient. Write a system of inequalities that describes these constraints.