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. Retail on model A gate is $355, the expense to manufacture the gate is $240. Each model B gate requires 100 lb of steel and 30 lb 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 = [ Select ] ["200", "0", "100", "150", "60"]

b. Number of model B gates to be produced = [ Select ] ["200", "100", "80", "150", "160"]

c. Chris Beehner's profit = $ [ Select ] ["$26,000", "$15,000", "$23,700", "$17,000", "$31,000"]

d. Amount of unused steel = [ Select ] ["3,000 lbs.", "2,000 lbs.", "0", "1,000 lbs.", "1500 lbs."] lb

e. Amount of unused zinc = [ Select ] ["500", "1,000", "2,000", "0", "3,000"] lb

f. What if Beehner decided to increase the amount of zinc by 120 lbs, what impact would it have on profit?