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 of25,000 pounds of steel and 6,000 pounds of zinc. Each model A bathtub requires a total of 125 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 . Formulate and solve a linear programming model to determine how many tubs of each type Marriott Tub should produce to maximize profit.