A manufacturer makes two products, bottles and cups which must be processed through two machines centers. Machine center 1 has up to 60 hours available and machine center 2 handle up to 2880 minutes. Manufacturing one bottle requires 240 minutes in machine center 1 and 2 hours in machine center 2. Each cup requires 120 minutes in machine center 1 and 4 hours in machine center 2. Moreover, each bottle yields a profit of R8 and each cup generates R6 for profit. What is the best combination of bottles and cups that will yield the optimum profit? NB: Show all the steps.
A manufacturer makes two products, bottles and cups which must be processed through two machines centers. Machine center 1 has up to 60 hours available and machine center 2 handle up to 2880 minutes. Manufacturing one bottle requires 240 minutes in machine center 1 and 2 hours in machine center 2. Each cup requires 120 minutes in machine center 1 and 4 hours in machine center 2. Moreover, each bottle yields a profit of R8 and each cup generates R6 for profit. What is the best combination of bottles and cups that will yield the optimum profit? NB: Show all the steps.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 49P
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A manufacturer makes two products, bottles and cups which must be processed through two machines centers. Machine center 1 has up to 60 hours available and machine center 2 handle up to 2880 minutes. Manufacturing one bottle requires 240 minutes in machine center 1 and 2 hours in machine center 2. Each cup requires 120 minutes in machine center 1 and 4 hours in machine center 2. Moreover, each bottle yields a profit of R8 and each cup generates R6 for profit.
What is the best combination of bottles and cups that will yield the optimum profit? NB: Show all the steps.
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