For a certain company, the cost for producingx items is40x+300 and the revenue for sellingx items is80x0.5x^2.

The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumesthat a company wants to maximize its profit, or at least wants to make a profit!

Part a: Set up an expression for the profit fromproducing and sellingx items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)

Part b: Find two values ofx that will create a profit of$300.

x=

Part c: Is it possible for the company to make a profit of$15,000?