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21 November, 09:36

ABC furniture company makes chairs and desks from two resources-labor and wood. The company has 90 hours of labor and 40 feet of wood available each day. Demand for chair is limited to 15 per day. Each chair requires 8 hours of labor and 3 feet of wood, whereas a desk requires 10 hours of labor and 6 feet of wood. The profit for each chair is $50 and for each desk is $70. The company wants to determine the number of chairs and desks to make in order to maximize profit. Formulate a linear programming model for this problem.

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  1. 21 November, 12:53
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    Linear Programming formulation:Total profit = 70X1 + 50X2 = 170

    Subject to:8X1 + 3X2 < = 14

    10X1 + 6X2< = 22

    X2<=15

    X1> = 0

    X2>=0
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