Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 12

In the example used to demonstrate model construction in this chapter (pp. 3 and 4), a firm sells a product, x , for $20 that costs $5 to make, it has 100 pounds of steel to make the product, and it takes 4 pounds of steel to make each unit. The model that was constructed is

Now suppose that there is a second product, y , that has a profit of $10 and requires 2 pounds of steel to make, such that the model becomes

Can you determine a solution to this new model that will achieve the objective Explain your answer.