# Question: Consider a model in which two products x and y

Consider a model in which two products, x and y, are produced. There are 100 pounds of material and 80 hours of labor available. It requires 2 pounds of material and 1 hour of labor to produce a unit of x, and 4 pounds of material and 5 hours of labor to produce a unit of y. The profit for x is $30 per unit, and the profit for y is $50 per unit. If we want to know how many units of x and y to produce to maximize profit, the model is

maximize Z = 30x + 50y

Subject to

2x + 4y = 100

x + 5y = 80

Determine the solution to this problem and explain your answer.

maximize Z = 30x + 50y

Subject to

2x + 4y = 100

x + 5y = 80

Determine the solution to this problem and explain your answer.

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