Determine the quantity of soap and shampoo that should be produced to maximize profit

The Salt Creek Soap Company has determined the following nonlinear model to determine the optimal pounds of industrial soap (X1) and shampoo (X2) it should produce each day.

Maximize Z = X12 + 2X22 - 8X1 - 12X2 + 34
Subject to: X1 + 2X2 = 4 lbs


Answer: X1 = 0, X2 = 2

Business

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