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    Linear Programming: Finding Maximum Profit

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    Question: Cully furniture buys two products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. What is the maximum profit?

    The answer should be one of the following:
    $25000
    $35000
    $42000
    $45000
    $55000

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    https://brainmass.com/math/linear-programming/linear-programming-maximum-profit-139831

    Solution Preview

    We can form the following linear programming equation:

    Maximize Z=300B+150M

    Subject to:
    500B+300M<=75000
    100B+90M<=18000
    B, M>=0

    Solving it by the simplex method, ...

    Solution Summary

    The solution examines finding the maximum profit for a furniture store.

    $2.49

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