# Linear Programming Problem

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Using the graphical solution technique, find the optimal solution, value of the objective function and values of the slack variables to this linear programming problem.

Â Â Â Min 3x1 + 3x2

Â Â Â s.t. 12x1 + 4x2  48

Â Â Â 10x1 + 5x2  50 Â Â Â 4x1 + 8x2  32

Â Â Â x1, x2  0

https://brainmass.com/math/linear-programming/linear-programming-problem-1347

#### Solution Summary

The solution addresses how using the graphical solution technique, find the optimal solution, value of the objective function and values of the slack variables to this linear programming problem.

Ã‚ Ã‚ Ã‚ Min 3x1 + 3x2

Ã‚ Ã‚ Ã‚ s.t. 12x1 + 4x2  48

Ã‚ Ã‚ Ã‚ 10x1 + 5x2  50 Ã‚ Ã‚ Ã‚ 4x1 + 8x2  32

Ã‚ Ã‚ Ã‚ x1, x2  0

$2.49