For a certain company, the cost for producing x items is 45x+300and the revenue for selling x items is 85x−0.5x2.
Part a: Set up an expression for the profit from producing and selling x 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 of x that will create a profit of $300.
Part c: Is it possible for the company to make a profit of $15,000?