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 25,000lb of steel and 6,000lb of zinc. Each model A gate requires a mixture of 125lb of steel and 20lb of zinc. Retail on model A gate is $355, the expense to manufacture the gate is $240. Each model B gate requires 100lb of steel and 30lb of zinc. Retail on model B gate is $445, the expense to manufacture the gate is $340. Additionally, the company is committed to manufacture at least 160 model B gates. Using Linear Programming, find the best production mix of yard gates. a. Number of model A gates to be produced = b. Number of model B gates to be produced = c. Chris Beehner's profit =$ d. Amount of unused steel = Ib e. Amount of unused zinc = lb f. What if Beehner decided to increase the amount of zinc by 120lbs, what impact would it have on profit