solve for X and Y

Problem B.6 The Chris Beehner 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 $75. Each model B gate requires 100 lb of steel and 30 lb of zinc and can be sold for a profit of $65. The aim of the objective function for Chris Beehner Company should be to Maximize the objective value. Decision variables: X = number of Model A gates to be produced Y = number of Model B gates to be produced Objective function: Z = 75 X + 65 Y Subject to: 125X + 100Y 20x +30Y S 25,000 (C4) S 6,000 (C2) X,Y 20 On the graph on right, constraints C, and C, have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. Enter your answer in the answer box and then click Check Answer 400- 350- 300- 250- > 2004 150. 100- eeeeeeeeeeeeeeeeeeeee 50 100 150 200 250 350 400 X The optimum solution is: X= (round your response to two decimal places)