3. The Marriott Tub Company manufactures two lines of bathtubs, called model A and model B. Every tub requires blending 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 mixture of 125 pounds of steel and 20 pounds of zinc, and each yields a profit to the firm of $90. Each model B tub produced can be sold for a profit of $70; it in turn requires 100 pounds of steel and 30 pounds of zinc. Given information can be set up as shown below:

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