A company uses to chemicals (1 and 2) to manufacture two drugs. Drug 1 must be at least 60% chemical 1, and drug 2 must be at least 40% chemical 2. Up to 60 oz of drug 1 can be sold at $10 per oz; up to 25 oz of drug 2 can be sold at $8 per oz. Up to 50 oz of chemical 1 can be purchased at $6 per oz, and up to 40 oz of chemical 2 can be purchased at $4 per oz. A. Formulate the model in a standard form. B. Solve the LP model of part A to maximize the company's profits.
A company uses to chemicals (1 and 2) to manufacture two drugs. Drug 1 must be at least 60% chemical 1, and drug 2 must be at least 40% chemical 2. Up to 60 oz of drug 1 can be sold at $10 per oz; up to 25 oz of drug 2 can be sold at $8 per oz. Up to 50 oz of chemical 1 can be purchased at $6 per oz, and up to 40 oz of chemical 2 can be purchased at $4 per oz. A. Formulate the model in a standard form. B. Solve the LP model of part A to maximize the company's profits.
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 company uses to chemicals (1 and 2) to manufacture two drugs. Drug 1 must be at least 60% chemical 1, and drug 2 must be at least 40% chemical 2. Up to 60 oz of drug 1 can be sold at $10 per oz; up to 25 oz of drug 2 can be sold at $8 per oz. Up to 50 oz of chemical 1 can be purchased at $6 per oz, and up to 40 oz of chemical 2 can be purchased at $4 per oz.
A. Formulate the model in a standard form.
B. Solve the LP model of part A to maximize the company's profits.
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