Changing constraints into linear equations

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Reference no: EM1318237

Question: Apply slack variables to convert the constraints into linear equations.

Maximize z = 2X1 +8x2

Subject to: X1 + 2x2 ≤ 15

8X1 + 2x2 ≤ 25

With: X1≥0 + x2≥0

[A] X1 + 2x2 = s1 + 15

8X1 + 2x2 = s2 + 25

[B] X1 + 2x2 + s1 = 15

8 X1 + 2x2 + s2 = 25

[C] X1 + 2x2 + s1 ≤ 15

8X1 + 2x2 + s2 ≤ 25

[D] X1 + 2x2 + s1 = 15

8X1 + 2x2 + s1 = 25

Reference no: EM1318237

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