A high school dietician is planning menus for the upcoming month. A new item will be spaghetti with sauce. The dietician wants each serving to contain at least 10 grams of protein and at least 40 grams of carbohydrates. Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup, and the sauce contains 4 grams of protein and 5 grams of carbohydrates per cup. For aesthetic reasons, the dietician wants a ratio of spaghetti to sauce to be 4:1. Spaghetti costs $0.30 per cup to buy and prepare, and the sauce $0.40 per cup to buy and prepare. The dietician wants to minimize the cost per serving and keep the calories per serving 330 or less. The sauce contains 100 calories per cup, and spaghetti contains 160 calories per cup.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 37E: Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat...
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A high school dietician is planning menus for the upcoming month. A
new item will be spaghetti with sauce. The dietician wants each serving to
contain at least 10 grams of protein and at least 40 grams of carbohydrates.
Spaghetti contains 5 grams of protein and 32 grams of carbohydrates per cup,
and the sauce contains 4 grams of protein and 5 grams of carbohydrates per
cup. For aesthetic reasons, the dietician wants a ratio of spaghetti to sauce to be
4:1.

Spaghetti costs $0.30 per cup to buy and prepare, and the sauce $0.40 per cup
to buy and prepare. The dietician wants to minimize the cost per serving and
keep the calories per serving 330 or less. The sauce contains 100 calories per
cup, and spaghetti contains 160 calories per cup.

Formulate a linear programming model for this problem.

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