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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

https://brainmass.com/math/linear-programming/constraint-in-a-linear-programming-problem-139832

#### Solution Preview

We can form the following linear programming.

Maximize Z=300B+150M

Subject to

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#### Solution Summary

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

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