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 = 11 - (2.5)*Q. Please also assume that you have a fixed cost of $1 and that the variable cost as estimated by your consultant is V(Q) = 5Q + (0.5) 2 .

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

b) At the quantity that maximizes net benefit, are marginal 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 + 2 Good X sells for $2 per unit, good Y sells for $1 per unit, good Z sells for $1 per unit, and consumer income is $5.

a. Please indicate whether good Y and Z are complements or substitutes and include in your response whether you think it is possible for a single good to have multiple complements or substitutes. If you answer yes to this question, please provide a realworld scenario in which this situation would hold.

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

c. Please calculate the own-price elasticity of demand for good X. Is the demand for good X elastic, inelastic, or unit elastic? (Please use graphs to support your answer and indicate the region of the demand equation on the graph from part b in which your calculation of own-price elasticity lies.)