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?
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.