The Christina Alvarez Company manufactures two lines of designer yard gates, called model A and model B. Every gate requires blending a certain amount of steel and zinc; the company has available a total of 25,000 lb of steel and 6,000 lb of zinc. Each model A gate requires a mixture of 125 lb of steel and 20 lb of zinc, and each yields a profit of $60. Each model B gate requires 100 lb of steel and 30 lb of zinc and can be sold for a profit of $30.

Decision variables:

X = number of Model A gates to be produced

Y = number of Model B gates to be produced

Objective function:

Z=

The optimum solution is:

X =

Y =

(round your response to two decimal places).

Optimal solution value 'Z' =

(round your response to two decimal places).