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The next problem had two decision variables (X and Z). Find the value for x and...

The next problem had two decision variables (X and Z). Find the value for x and z that maximizes Y= f(X,Z).

y=5000–10X+40Z+XZ–0.8Z^2 -0.5X^2

Hint: Take the partial derivative of Y with respect to X (ↃY/ↃX) = 0 and the partial derivative of Y with respect to Z (ↃY/ↃZ) = 0. Set these partial derivatives equal to zero and use the two equations to solve ** for X and Z . Or you can use the original equation and Solver in Excel where Y is the objective you are maximizing and X and Y are the changing cells (or choice variables).

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