1. Your company has the following following functions for total costs and price of units sold, both as a function of units sold:

Total costs=Cx=400x+9,500

Price per unit=qx=1,500-2x

Total revenue=price per unitunits sold=q(x)*x

1. What would be the Average Profit function, P(x), as a function of the number of units sold? Remember that total profits are calculated as total revenue minus total costs. (10 pts)

2. Currently, the company produces and sells 500 units of the product. How would the average profit (per unit sold) change if the company produces 501 units instead? Compute the actual change in average profit per unit, and also estimate the change in average profit per unit using the derivative of the average profit function and compare the two results. Show your work. (10 pts)