Q1: A manufacturer wishes to determine how to produce two products A and B, so as to realize the maximum total profit from the sale of the products. Bothe products are made in two processes P1 and P2. It takes 7 hours in processes P1 and 4 hours in Process P2 to manufacture 100 units of product A. It requires 6 hours in process P1 and 2 hours in process P2 to manufacture 100 units of product B. Process PI can handle 84 hours of work and process P2 can take 32 hours of work in the scheduled period. If the profit is $11 per 100 units of product A and $4 per 100 unit of product B, then how many of each product A and B should be manufactured to realize maximum profit? Assume that whatever is produced is sold and setup time for the processes is negligible. Not use graphical method.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Q1: A manufacturer wishes to determine how to produce two products A and B, so as to
realize the maximum total profit from the sale of the products. Bothe products are made in
two processes P1 and P2. It takes 7 hours in processes P1 and 4 hours in Process P2 to
manufacture 100 units of product A. It requires 6 hours in process P1 and 2 hours in process
P2 to manufacture 100 units of product B. Process PI can handle 84 hours of work and
process P2 can take 32 hours of work in the scheduled period. If the profit is $11 per 100
units of product A and $4 per 100 unit of product B, then how many of each product A and B
should be manufactured to realize maximum profit? Assume that whatever is produced is
sold and setup time for the processes is negligible. Not use graphical method.
Transcribed Image Text:Q1: A manufacturer wishes to determine how to produce two products A and B, so as to realize the maximum total profit from the sale of the products. Bothe products are made in two processes P1 and P2. It takes 7 hours in processes P1 and 4 hours in Process P2 to manufacture 100 units of product A. It requires 6 hours in process P1 and 2 hours in process P2 to manufacture 100 units of product B. Process PI can handle 84 hours of work and process P2 can take 32 hours of work in the scheduled period. If the profit is $11 per 100 units of product A and $4 per 100 unit of product B, then how many of each product A and B should be manufactured to realize maximum profit? Assume that whatever is produced is sold and setup time for the processes is negligible. Not use graphical method.
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