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    Constraint in a linear programming problem

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    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. Which of the following is not a feasible purchase combination?
    150 big shelves and 0 medium shelves
    0 big shelves and 200 medium shelves
    100 big shelves and 100 medium shelves
    100 big shelves and 0 medium shelves
    100 big shelves and 82 medium shelves

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    Solution Preview

    We can form the following linear programming.

    Maximize Z=300B+150M

    Subject to


    Solution Summary

    This solution contains a detailed explanation of how to identify a constraint in a linear programming problem.