A chemical manufacturer uses chemicals 1 and 2 to produce two drugs. Drug 1 must be at least 80% chemical 1, and drug 2 must be at least 50% chemical 2. Up to 70,000 ounces of drug 1 can be sold at $40 per ounce;up to 50,000 ounces of drug 2 can be sold at $25 per ounce. Up to 45,000 ounces of chemical 1 can be purchased at $15 per ounce, and up to 65,000 ounces of chemical 2 can be purchased at $19 per ounce. Determine how to maximize the manufacturer’s profit.
A chemical manufacturer uses chemicals 1 and 2 to produce two drugs. Drug 1 must be at least 80% chemical 1, and drug 2 must be at least 50% chemical 2. Up to 70,000 ounces of drug 1 can be sold at $40 per ounce;up to 50,000 ounces of drug 2 can be sold at $25 per ounce. Up to 45,000 ounces of chemical 1 can be purchased at $15 per ounce, and up to 65,000 ounces of chemical 2 can be purchased at $19 per ounce. Determine how to maximize the manufacturer’s profit.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 70P
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A chemical manufacturer uses chemicals 1 and 2 to produce two drugs. Drug 1 must be at least 80% chemical 1, and drug 2 must be at least 50% chemical 2. Up to 70,000 ounces of drug 1 can be sold at $40 per ounce;up to 50,000 ounces of drug 2 can be sold at $25 per ounce. Up to 45,000 ounces of chemical 1 can be purchased at $15 per ounce, and up to 65,000 ounces of chemical 2 can be purchased at $19 per ounce. Determine how to maximize the manufacturer’s profit.
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