Ruff, Inc Makes Dog Food Out of Chicken and Grain

Multiple Choice

Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 720 grams of protein and at least 370 grams of fat. If chicken costs 10 cents per ounce and grain costs 1 cent per ounce, how many ounces of each should Ruff use in each bag of dog food in order to minimize cost ?

A) 0 ounces of chicken and 360 ounces of grain
B) 70 ounces of chicken and 0 ounces of grain
C) 70 ounces of chicken and 10 ounces of grain
D) 74 ounces of chicken and 0 ounces of grain
E) no solution