Question 1:A manufacturer produces printer paper at a cost of $2 per ream. When she sets the price at $4, she sells 5,000 reams per month. She has determined that for every $1 increase in price she will sell 200 less reams per month.

1. W rite a function N(x) to model the number N of reams sold as a function of the selling price x.
2. W rite a function C(x) to model the cost of producing N(x) reams.
3. W rite a function P(x) to model the profit of producing N(x) reams. Please remember, the profit equals revenue- cost. Then graph P(x).
4. What is the slope of the tangent line to the graph of P(x) at x = 14? What does that number represent?
5. What is the slope of the secant line to the graph of P(x), through the points (14, P(14) and (20, P(20)) What does that number represent?