The Rolling Creek Textile Mill produces denim and brushed cotton cloth. The company has developed the following nonlinear programming model to determine the optimal number of yards of denim 1x12 and brushed cotton 1x22 to produce each day in order to maximize profit, subject to a labor constraint:

maximize Z = $10x1 - 0.02x21

+ 12x2 - 0.03x22 subject to 0.2x1 + 0.1x2 = 40 hr.

Determine the optimal solution to this nonlinear programming model.

 LO.1