Certain animals in a rescue shelter must have at least 30g of protein and at least 20g of fat per feeding period. These nutrients come from food A, which costs 18 cents per unit and supplies 2g of protein & 4g of fat; and food B, which costs 12 cents per unit and provides 6g of protein & 2g of fat. Food B is bought under a long-term contract that requires that at least2 units of Food B be used per serving. How much of each food must be bought to produce the minimum cost per serving.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I. Use the Graphical Method to solve the 2 following linear programming problems.

2. Certain animals in a rescue shelter must have at least 30g of protein and at least 20g of fat per feeding period. These nutrients come from food A, which costs 18 cents per unit and supplies 2g of protein & 4g of fat; and
food B, which costs 12 cents per unit and provides 6g of protein & 2g of fat. Food B is bought under a long-term contract that requires that at least2 units of Food B be used per serving. How much of each food must be bought to produce the minimum cost per serving.

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