Question

Use duality to answer the following application.

Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. A batch of lion food must contain at least 28,800 grams of protein and 43,200 grams of fat. Giraffe meat costs $1 per pound and gazelle meat costs $2 per pound. How many pounds of each should go into each batch of lion food in order to minimize costs? HINT [See Example 2.]

(giraffe meat, gazelle meat) =

What are the shadow costs of protein and fat? lb

protein$  per g

fat$  per g

Answer 1