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Linear Programming: Finding Maximum Profit

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:

Solution Preview

We can form the following linear programming equation:

Maximize Z=300B+150M

Subject to:
B, M>=0

Solving it by the simplex method, ...

Solution Summary

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