The Salt Creek Soap Company Has Determined the Following Nonlinear

Multiple Choice

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
-What quantities of soap and shampoo maximize profit?

A) X₁ = 0, X₂ = 2
B) X₁ = 1, X₂ = 2
C) X₁ = 2, X₂ = 2
D) X₁ = 2, X₂ = 1