A large institution is preparing lunch menus containing foods A and B. The speci

Question

A large institution is preparing lunch menus containing foods A and B. The specifications for the two foods are given in the following table: Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost? Food Unit A has 1 units of fat per ounce, 2 units of carbohydrates per ounce, and 1 units of protein per ounce. Food B has 1 units of fat per ounce, 1 units of carbohydrates per ounce, and units of protein per ounce.

Explanation / Answer

Objective function: C = .12x + .08y

Constraints: x 0; y 0; x + y 6; 2x + y 10; x + y 7

Domain: 3 x 7

Range: 0 y 4

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