A company manufactures two types of trucks. Each truck must go through the painting shop and the assembly shop. If the painting shop were completely devoted to painting type 1 trucks, 650 perday could be painted, whereas if the painting shop were completely devoted to painting type 2 trucks, 550 per day could be painted. If the assembly shop were completely devoted to assembling truck 1engines, 1400 per day could be assembled, whereas if the assembly shop were completely devoted to assembling truck 2 engines, 1000 per day could be assembled. It is possible, however, to paint bothtypes of trucks in the painting shop. Similarly, it is possible to assemble both types in the assembly shop. Each type 1 truck contributes $2500 to profit;each type 2 truck contributes $3000. Use Solverto maximize the company’s profit. (Hint: One approach, but not the only approach, is to try a graphical procedure first and then deduce the constraints from the graph.)

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 company manufactures two types of trucks. Each truck must go through the painting shop and the assembly shop. If the painting shop were completely devoted to painting type 1 trucks, 650 per
day could be painted, whereas if the painting shop were completely devoted to painting type 2 trucks, 550 per day could be painted. If the assembly shop were completely devoted to assembling truck 1
engines, 1400 per day could be assembled, whereas if the assembly shop were completely devoted to assembling truck 2 engines, 1000 per day could be assembled. It is possible, however, to paint both
types of trucks in the painting shop. Similarly, it is possible to assemble both types in the assembly shop. Each type 1 truck contributes $2500 to profit;each type 2 truck contributes $3000. Use Solver
to maximize the company’s profit. (Hint: One approach, but not the only approach, is to try a graphical procedure first and then deduce the constraints from the graph.)

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