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# Quantitative Methods for Maximizing Profit

Lowe's manufactures glass doors, windows, patio doors, and wood doors
Each of these uses 5 square feet, 1 sq.. Ft, 9 sq ft, and 12 sq ft of wood respectively
Each uses 2, 3, 4, and 1 sq ft respectively of glass
Each takes 3, 2, 5, and 10 man-hours respectively to build
Each week there are 1500 sq ft of wood, 1000 sq ft of glass and 800 hours of labor available
Lowes must make at least 40 glass doors, 130 windows and 30 patio doors each week.
Lowes is limited to making no more than 10 wood doors.
Lowes makes \$25 on a glass door, \$11 on a window, \$32 on a patio door, and \$21 on a solid door.
What is the optimum product mix in order to maximize profit?

#### Solution Preview

Maximize Profit = 25x1 + 11x2 + 32x3 + 21x4

Subject to:
Wood: 5x1 + x2 + 9x3 + 12x4 <= ...

#### Solution Summary

The following posting helps with a statistics-related problem. This solution provides step by step calculations for finding the optimum product mix to maximize profit.

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