3) MARRIOTT TUB - 6 PTS

For this problem, make sure to include the complete LP Formulation in your answers.

Example:

Objective Function: Maximize what? or Minimize what?

Subject to the following constraints: (then list down your complete constraints)

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The Marriot Tub Company manufactures two lines of bathtubs, Models A and B.

Every tub requires blending a certain amount of steel and zinc. For the next production run, the company has available a total of 24,500 pounds of steel and 6,000 pounds of zinc.

Each model A bathtub requires a mixture of 120 pounds of steel and 20 pounds of zinc and yields a profit of $90. Each Model B bathtub produced earns a profit of $70 and it requires 100 pounds of steel and 30 pounds of zinc. To maintain an adequate supply of both models, the company would like the number of model A tubs made to be no more than 5 times the number of model B tubs.

Find the best product mix of bathtubs.

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