Question

The Marriott Tub Company manufactures two lines of bathtubs, called model A and model B. Every tub requires a certain amount of steel and zinc; the company has available a total of 25,000 pounds of steel and 6,000 pounds of zinc. Each model A bathtub requires a total of 150 pounds of steel and 20 pounds of zinc, and each yields a profit of $90. Each model B bathtub can be sold for a profit of $70; it in turn requires 100 pounds of steel and 30 pounds of zinc. Find the best production mix of the bathtubs to maximize the profit. a) Set up the optimization equation and constraints: b) Graph the constraints c) Determine the corner points of the feasible area and check if optimal:

Answer 1