Use slack variables to convert the constraints into linear equations.Maximize3x + 5ysubject to:7x + 9y ? 30 x + 6y ? 40with:x ? 0, y ? 0

A. 7x + 9y + u = 30
 x + 6y + u = 40
-3x - 5y + M = 0
Maximize M given that x ? 0, y ? 0, u ? 0
B. 7x + 9y + u = 30
x + 6y + v = 40
-3x - 5y + M = 0
Maximize M given that x ? 0, y ? 0, u ? 0, v ? 0
C. 7x + 9y = u + 30
 x + 6y = v + 40
3x + 5y + M = 0
Maximize M given that x ? 0, y ? 0, u ? 0, v ? 0
D. 7x + 9y + u ? 30
 x + 6y + v ? 40
3x + 5y + M ? 0
Maximize M given that x ? 0, y ? 0, u ? 0, v ? 0


Answer: B

Mathematics

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