Textbook Problem

Capsule Drugs manufactures two drugs. The drugs are produced by blending two chemicals. By weight, drug 1 must contain at least 75% chemical 1, and drug 2 must contain at least 45% chemical 1. Drug 1 sells for $10 per ounce, and drug 2 sells for $7 per ounce. Chemicals 1 and 2 can be produced by one of two production processes. Running process 1 for an hour requires 8 ounces of raw material and 3 hours of skilled labor, and it yields 4 ounces of each chemical. Running process 2 for an hour requires 6 ounces of raw material and 2 hours of skilled labor, and it yields 5 ounces of chemical 1 and 2 ounces of chemical 2. A total of 2000 hours of skilled labor and 6000 ounces of raw material are available. Determine how to maximize Capsule’s sales revenues.