Tiles & Baths of Mayaguez manufactures two lines of bathtubs called Model A and Model B. Each model requires a certain amount of steel and zinc. The company has available in inventory the amounts of steel and zinc indicated in the first table below. Each model of type A requires a mixture of certain pounds of steel and zinc as indicated in the second table below and produces a profit as indicated. For its part, each tub of model type B requires the indicated pounds of steel and pounds of zinc and is sold with a utility that is also indicated in the same table.

Materials Availability (lbs)
Acero	Zinc
29,000	8,000

Model	Mix (lbs)		Utility
	Acero	Zinc
A	130	24	95
B	110	35	$75

a) Formulate this production mix situation as a Linear Programming model. b) What is the optimal production mix for these two models? Solve it graphically (Use Excel, for example). c) If a better way of combining the materials for Model A occurs that raises profit per unit by the amount indicated in the table below, how does this affect the optimal solution? d) If instead of the increase indicated in the table for Model A, suppose that an overestimate was made and the utility should only have been as indicated below, how is the optimal solution affected?

Part (c) Profit Increase Modelo A	Parte (d) Revised Profit Modelo A
$12	$85

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