I. Problems (Please show all work and remember to label all graphs!)

1) Marginal Analysis

You are the manager of GetMoney Inc. and you produce cardboard boxes. Suppose that you hired a consultant for your company to estimate the demand for your cardboard boxes. You collect data on the price and quantity of boxes sold and send it to your consultant, who then estimates the inverse demand equation as P = 14 - (1.5)*Q. Please also assume that you have a fixed cost of $2 and that the variable cost as estimated by your consultant is V(Q) = 4Q + 2 .

a) What is the quantity that maximizes revenues based upon the above information? What are the corresponding maximum revenues that you can earn? (Please use graphs to support your answer.)

b) At the quantity that maximizes benefit, are marginal net benefits positive, negative, or zero? At this quantity, would you recommend increasing production in order to increase net benefits? Why or why not. (Please use graphs to support your answer).

c) Are marginal benefits equal to zero at this quantity? Why or why not?

2. Supply and Demand/Demand Analysis

Suppose that your analyst estimates the demand equation for good X as given below:

= 12 2 + 1 +

Good X sells for $1 per unit, good Y sells for $2 per unit, good Z sells for $1 per unit, and consumer income is $4.

a. Using the information provided by your analyst, please determine the demand equation. ( use graphs to support your answer).

b. Please calculate the own price elasticity of demand for good X. Is the demand for good X elastic, inelastic, or unit elastic? (indicate where on your graph of the demand equation from part a, your calculation of own-price elasticity lies.)

c. If I increase the price of good X by 0.13%, what happens to revenues? (use graphs to support your answer.)