Question: Consider a model in which two products, x and y , are produced. There are 30 pounds of material and 60 hours of labor available.

  1. Consider a model in which two products, x and y, are produced. There are 30 pounds of material and 60 hours of labor available. It requires 9 pounds of material and 12 hours of labor to produce a unit of x, and 5 pounds of material and 15 hours of labor to produce a unit of y. The profit for x is $300 per unit, and the profit for y is $250 per unit. If we want to know how many units of x and y to produce to maximize profit, the model is

Maximize Z = 300x + 250y

Subject to

12x + 15y = 60

9x + 5y = 30

Determine the solution to this problem and explain your answer.

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