Question

Use duality to answer the following application.

Oz makes lion food out of giraffe and gazelle meat. Giraffe meat has 20 grams of protein and 40 grams of fat per pound, while gazelle meat has 40 grams of protein and 20 grams of fat per pound. A batch of lion food must contain at least 52,000 grams of protein and 78,000 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) = (_________) lb

What are the shadow costs of protein and fat?

protein $_______ per g

fat $________ per g

Answer 1