Maximize

Z=15x+15y

Subject to; 9x+11y ≥ 180

14x-11y ≥ 27

x+y ≤ 43

x,y ≥ 0

What is the maximum value of Z?

And

At what corner point(s) does the maximum value of Z occur?

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- October 1st 2012, 09:06 AMNiabocSolve the linear programmable problem
Maximize

Z=15x+15y

Subject to; 9x+11y ≥ 180

14x-11y ≥ 27

x+y ≤ 43

x,y ≥ 0

What is the maximum value of Z?

And

At what corner point(s) does the maximum value of Z occur? - October 1st 2012, 09:21 AMMarkFLRe: Solve the linear programmable problem
You need to graph the 5 inequalities and find their common area, which is a quadrilateral. Solve the appropriate linear systems to determine the vertices, then using these coordinates you can determine which point(s) maximizes the objective function.