Question

Question 27 Unsaved
The supply function for manufacturing a certain item is p(x)=x2+46x−66. The demand function is p(x)=56x+30. If x represents the number of items (in hundreds), what is the optimum number of items to be manufactured?

Answer 1

Hi Adrianna, and welcome to QuestionCove!
From what I know, the optimum number of items should be the intersection of the supply function and the demand function. Since we have the equations for both functions, we can set the two functions equal to each other:
x^2 + 46 x -66 =56x + 30
Then, solve for x, which is the number of items to be produced. As a note, the output of the function would be the price of the items.