For a certain company, the cost for producing x items is 55x+300 and the revenue for selling x items is 95x0.5x2

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 an profit of$50

.

The field below accepts a list of numbers or formulas separated by semicolons (e.g.2;4;6

orx+1;x1). The order of the list does not matter.