A toy manufacturer preparing a production schedule for two new toys, trucks spinning tops, must use the information concerning their construction times below. Machine A Machine B Finish Truck 2hr 3hr 5hr Spinning Top 1hr 1hr 1hr For example, each truck requires 2 hours on machine A. The available employee hours per week are as follows: For operating machine A; 80 hours; for B, 50 hours; for finishing 70 hours. If the profits on each truck and spinning top are R7 and R2, respectively, how many of each toy should be made per week to maximize profit? What is the maximum profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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A toy manufacturer preparing a production schedule for two new toys, trucks spinning tops,
must use the information concerning their construction times below.
Machine A Machine B Finish
Truck 2hr 3hr 5hr
Spinning Top 1hr 1hr 1hr
For example, each truck requires 2 hours on machine A. The available employee hours per week
are as follows: For operating machine A; 80 hours; for B, 50 hours; for finishing 70 hours. If the
profits on each truck and spinning top are R7 and R2, respectively, how many of each toy
should be made per week to maximize profit? What is the maximum profit? 

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