help precalculus

Question

You decide to start a small business selling monogrammed handbags with a friend. Your initial investment in equipment is $300. The Better Business Bureau helps you determine that the profit ( y ) in dollars you can make from selling x number of bags is represented by the equation below.

y=−x2+60x−33

In order to maximize your profit, how many handbags would you sell? What is your maximum profit?

Select one:

a. 30 bags for a profit of $600

b. 30 bags for a profit of $900

c. 40 bags for a profit of $600

d. 50 bags for a profit of $500

Answer 1

The equation produces and downward opening parabola. The maximum occurs at -b / 2a. In this case

-60 / -2 = 30

Selling 30 handbags makes the most profit.

What is it?