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The answers to a mid-term exam along with common mistakes made by students. Topics covered include economic concepts such as complements and substitutes, optimal production, user cost of capital, and promotional campaigns. Students are cautioned against errors in calculating user costs and net present value.
Typology: Exams
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Mid-Term Exam—Answer Sheet
Below you will find the answers to the mid-terms as well as a listing of some common mistakes that students made in trying to answer the questions.
Problem #1. True, False, Uncertain
1a) FALSE. CD-RW disks are clearly not demand substitutes for CD-RW drives: people will not switch from disks to drives when the price of disks goes up. (On the contrary, these products are complements). They are also not supply substitutes neither: producers of drives would not typically switch to the production of disks just because the price of disks went up. (These are very different technologies, so drive producers are not the most natural entrants in the disk market.) (Note : given how little we focused on it in class, it is not necessary to talk about supply substitutes to get full credit.)
Common Mistakes:
1b) UNCERTAIN or FALSE , depending upon explanation. Optimal production will be at the point where marginal cost equals marginal revenue. This will in general not be the point of minimal average cost. It might be the point of minimal average cost by pure coincidence: if the marginal cost, average cost, and marginal revenue curve all intersect each other at the same point.
Common Mistakes:
Problem #2.
a) The User Cost of Capital for each type of tractor is as follows:
UCC for 1-year use of new tractor = (100,000 – 70,000) + 10%100,000 = $40, UCC for 1-year use of 1-year-old tractor = (70,000 – 45,000) + 10%70,000 = $32, UCC for 1-year use of 2-year-old tractor = (45,000 – 0) + 10%*45,000 = $49,
b) Since variable cost is the same for all types of tractors, and there is no cost of reselling, each year Old McAdams should use whatever tractor has the lowest UCC. Hence, the best plan is to purchase a 1 year old tractor at the start of each year and sell that tractor (now 2 years old) at the end of each year.
Common Mistakes:
Problem #.
Tinysoft Promotional Campaign
Given: Total Quantity=20 million Constant MC = $ Price = $ Discount rate = 10% 2 periods
Choice: Spend $100 million this period and capture 50% of the market next period. vs. Spend $310 million this period and capture 70% of the market next period.
a) Which promotional campaign should Tinysoft pursue?
Objective: Compare the net present value of the two campaigns: Note that for each product sold, the company will earn $55 (P-MC).
NPV 1 = -100 million + 0.5 * 20 million * 55 = -100m + 500m = $400 million 1 +.
NPV 2 = -310 million + 0.7 * 20 million * 55 = -310m + 700m = $390 million 1 +.
NPV 1 >NPV 2 so Tinysoft should choose the $100 million dollar campaign.
a) The supply-demand diagram is as follows.
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Equilibrium price is 8 dollars per pound, quantity is 8 million pounds, consumer surplus is (2 * 2 / 2 = ) 2 million dollars, producer surplus is (8 * 8 / 2 = ) 32 million dollars.
Common Mistakes:
b) With a $1 subsidy for all consumption, the new graph is as below. The new equilibrium price is $9 per pound, while the new quantity is 9 million pounds. The cost of the subsidy is 9 million dollars. Consumer surplus is unchanged at 2 million dollars. Producer surplus is now 40.5 million dollars. The change in total surplus is 40.5 + 2 - 9 - 32 - 2 = -.5 million dollars. Deadweight loss is thus .5 million dollars.
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(^8 )
Common Mistakes:
c) The new graph is below.
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The equilibrium price is $8 per pound, while the quantity is 8 million pounds. Since human consumption accounts for 3 million pounds, the total government subsidy is 3 million dollars. Producer surplus is identical to (a), but consumer surplus is now (3 * 3 / 2 = ) 4.5 million dollars. The deadweight loss is again .5 million dollars.