Use slack variables to convert the constraints into linear equations.Maximize4x + 12y + 7zsubject to:5z + 3y + z ? 12 x + 2y + z ? 24with:x ? 0, y ? 0, z ? 0
A. 5x + 3y + z + u = 12
x + 2y + z + v = 24
-4x - 12y - 7z + M = 0
Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0
B. 5x + 3y + z + u = 12
x + 2y + z + u = 24
4x + 12y + 7z + M = 0
Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0
C. 5x + 3y + z = u - 12
x + 2y + z = v - 24
4x + 12y + 7z = M
Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0
D. 5x + 3y + z = u + 12
x + 2y + z = v + 24
-4x - 12y - 7z = M
Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0
Answer: A
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