For a certain company, the cost for producing x items is 55x + 300 and the revenue for selling X items is 95x- 0.5x^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 assumes that a company wants to maximize its profit, or at least
wants to make a profit!
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.