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Supplement__9_Linear_Programming - MAT120 Analytical...

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MAT120 Analytical Methods Supplement #9 LINEAR PROGRAMMING (Graphical Methods) 1. On the average it takes carpenters 7 hours to build a chair and 4 hours to build a sofa. There are enough carpenters for no more than 133 worker- hours per day. Upholsterers average 2 hours per chair and 6 hours per sofa. There are enough upholsterers for no more than 72 worker-hours per day. The profit per chair is $80 and the profit per sofa is $70. How many sofas and chairs should be made to maximize the profit?
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2. A company makes two different products, Wigbats and Widgets, each of which is begun at one factory and finished at a second factory. The Atlanta factory has 1000 labor hours available per day and the Waycross factory has 1200 labors hours available per day. The Atlanta factory works 10 hours on each Wigbat and 5 hours on each Widget while the Waycross factory works 6 hours on each Wigbat and 10 hours on each Widget. If only 100 Widgets can be sold, and if the profit on Wigbats is $50 and the profit on Widgets is $25, producing how many of each of these products will maximize profit?
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