A company manufactures two products, A and B. The sales volume of A is at least 80% of the total sales of A and B. However, the company cannot sell more than 100 units of A per day. Both products use one raw material, whose maximum daily availability is 240 lb. The raw material consumption rates are 2 lb per unit of A and 4 lb per unit of B. The profits of A and B are $20 and $50, respectively. Determine the optimal product mix for the company.
A company manufactures two products, A and B. The sales volume of A is at least 80% of the total sales of A and B. However, the company cannot sell more than 100 units of A per day. Both products use one raw material, whose maximum daily availability is 240 lb. The raw material consumption rates are 2 lb per unit of A and 4 lb per unit of B. The profits of A and B are $20 and $50, respectively. Determine the optimal product mix for the company.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.5: Shortest Path Models
Problem 34P
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Topic: Linear Programming (simplex method)
A company manufactures two products, A and B. The sales volume of A is at least 80% of the total sales of A and B. However, the company cannot sell more than 100 units of A per day. Both products use one raw material, whose maximum daily availability is 240 lb. The raw material consumption rates are 2 lb per unit of A and 4 lb per unit of B. The profits of A and B are $20 and $50, respectively. Determine the optimal product mix for the company.
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