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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

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