Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 15

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

Determine the solution to this problem and explain your answer.