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Solve the following linear programming model graphically and mathematically. Minimize C = 8x 1 + 2x 2 Subject to 2x 1 -6x 2 12 5x

Solve the following linear programming model graphically and mathematically.

Minimize C = 8x₁+ 2x₂

Subject to

2x₁-6x₂ 12

5x₁+ 4x₂ 40

x₁+2x₂ 12

x₂ 6

x₁, x₂ 0

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