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ECMA04H Second Term Test - November 16, 2007 Professors Michael Krashinsky and Gordon Cleveland Time: 90 minutes Version A Instructions: PLEASE READ CAREFULLY 1. On the Scantron answer sheet, you must PRINT your last name and first name enter your student number as the identification number FILL IN THE BUBBLES under your name and student number FILL IN THE BUBBLE ASSOCIATED WITH YOUR TEST VERSION NOTE - THIS IS VERSION A 2. If you fail to carry out all the tasks indicated in part 1, 4 marks will be deducted from your final score. 3. This exam consists of 25 multiple choice questions (and a 26th which will confirm your exam version). For each question, choose the correct answer. If two multiple choice answers both seem to be approximately correct, choose the best of the two answers. Enter the answers to the multiple choice questions on the Scantron sheet provided to you by filling in the appropriate bubble. If answers are not written on this sheet, there will be no marks given for answers. Each correct answer is worth 4 marks (except for question 26, where the correct answer simply confirms your exam version); incorrect answers receive 0 marks. 4. When entering your answers on the Scantron sheet: Use a medium (HB) pencil Fill in the bubble neatly and completely Erase any changes as completely as possible Be very careful to place each answer in the correct place Note: this exam consists of 7 pages, including this cover page. Make sure that all 7 pages are included in your exam, and notify an invigilator immediately if any are missing. Page 2 of 7 ECMA04H SECOND TERM TEST November 16, 2007 This term test consists of 25 questions (plus a 26th identifier question). Answer each question by choosing the best alternative and indicating your choice in the appropriate place on the scantron sheet provided with this exam (it is the only thing you will turn in at the end of the exam). You may take the rest of the exam away with you, so you can use the fronts and back of these pages for your rough work. If you wish to keep a record of your answers, make a note of them on the exam. The scantron sheet will not be returned to you, but correct answers will be posted, and your grade will be communicated to you through the website. Each correct answer to questions 1 through 25 is worth 4 marks (there is no deduction for wrong answers). 1-4. A consumer has a utility function for a good X given by the following function: U = 10X - (1/10)X2 - (1/30)X3 X<9.05 where X is the quantity of the good purchased each month (quantity need not be an integer) and U is measured in dollars. Questions 1 through 4 concern this consumer. 1. If the price of X is set at $5.20 per unit, the quantity of the good purchased by this consumer each month will be: A) 2 F) 6 B) 4 G) 6.4 C) 4.8 H) 7 D) 5 I) 8 E) 5.2 J) 9.04 2. If the price of X is set at $5.20 per unit, the consumer surplus gained by this consumer each month through purchasing X will be: A) $0 F) $15.60 B) $49.20 G) $21.60 C) $31.20 H) $24.00 D) $18.00 I) $28.80 E) $14.40 J) $30.00 3. Suppose that the government imposes a tax of $3.30 per unit on this good, and that the effect of the tax falls entirely on consumers (so that the price paid by consumers rises to $8.50). The tax revenue raised by such a tax would be: A) $1.65 F) $9.90 B) $3.30 G) $11.55 C) $4.95 H) $13.20 D) $6.60 I) $16.50 E) $8.25 J) $19.80 4. Continue with the tax described in question 3. The deadweight loss associated with such a tax would be: A) $5.40 F) $10.20 B) $5.60 G) $12.40 C) $8.10 H) $14.40 D) $7.20 I) $15.30 E) $9.90 J) $15.60 Page 3 of 7 5-8. In the long run, a firm producing skyhooks has the following production function: q = (K1/3 + L1/3)3 where q is output, K is physical capital, and L is labour. In the short run, the firm has plant and equipment that in total account for 8 units of physical capital. Questions 5 through 8 concern this firm in the short run. 5. In the short run, when L=27, the marginal product of labour is: A) 1 F) 2/3 B) 125 G) 3/2 C) 25 H) 5/3 D) 8/27 I) 25/9 E) 27/8 J) 9/25 6. Suppose that the price of labour is $9 per unit and the price of capital is $27 per unit. In the short run, when L=64, the average variable cost (computed to the nearest penny) is: A) $9.00 F) $0.75 B) $216.00 G) $1.33 C) $7.11 H) $1.50 D) $0.14 I) $2.33 E) $1.00 J) $2.67 7. Suppose that the price of labour is $9 per unit and the price of capital is $27 per unit. In the short run, when L=64, the average cost (also called the average total cost) (computed to the nearest penny) is: A) $36.00 F) $1.67 B) $792.00 G) $2.33 C) $1.77 H) $2.67 D) $0.56 I) $3.67 E) $1.00 J) $4.33 8. Suppose that the price of labour is $9 per unit and the price of capital is $27 per unit. In the short run, when L=8, the marginal cost (computed to the nearest penny) is: A) $0 F) $2.25 B) $9.00 G) $2.44 C) $1.13 H) $2.50 D) $0.89 I) $2.67 E) $2.00 J) $3.33 Page 4 of 7 9-14. A firm in a perfectly competitive constant cost industry has total costs in the short run given by: q2 TC = 0.25q2 + 6q + 64 where q is output per day and TC is the total cost per day in dollars. The firm has fixed costs of $48 (already included in the TC equation above). The TC equation generates minimum average costs of $14 (per unit) at q = 16. You are also told that this size firm generates minimum long run average costs (that is, minimum LAC occurs at q = 16, with min LAC = $14). Questions 9 through 14 concern this firm and this industry. 9. In the short run, this firm’s shut down price is: A) $0 F) $10 B) $6 G) $10.80 C) $8 H) $12 D) $8.40 I) $15 E) $9.60 J) $16 10. You are told that in the short run there are 400 firms, including this one, in the industry, all with the same cost curves described above. Suppose that the demand curve facing the industry is given by the equation P = 30 - .00375Q where P is the price per unit and Q is the number of units demanded per day. The equilibrium price in the short run is: A) $8 F) $18 B) $10 G) $20 C) $12 H) $24 D) $14 I) $28 E) $16 J) $32 11. Continuing the problem begun in question 10, the individual firm in the short run will earn profits of: A) $0 F) $17 B) -$28 G) $36 C) $28 H) $57 D) -$15 I) $78 E) $15 J) $96 Page 5 of 7 12. Given the demand curve described in question 10, suppose that we are now in the long run. The total output of the industry per day in the long run (to the nearest integer) is: A) 4800 F) 4500 B) 5000 G) 4450 C) 6000 H) 4267 D) 6400 I) 4233 E) 7200 J) 4000 13. Given the demand curve described in question 10, suppose that we are still in the long run. The number of firms in the industry, rounding to the nearest integer, is: A) 1000 F) 300 B) 600 G) 267 C) 500 H) 250 D) 400 I) 233 E) 333 J) 200 14. The best description of the dynamic that gets us to long run equilibrium in this problem would be: A) positive short run profits cause firms to enter in the short run, driving profits down to zero B) negative short run profits cause firms to exit in the short run, until profits rise to zero C) positive short run profits cause firms to enter in the short run, and then they exit in the long run, until profits are at zero D) negative short run profits cause firms to exit in the short run, and then they enter in the long run, until profits are at zero E) positive short run profits cause firms to enter in the short run, and then more firms enter in the long run, until profits are at zero F) negative short run profits cause firms to exit in the short run, and then more firms exit in the long run, until profits are at zero G) positive short run profits cause firms to enter in the long run, driving profits down to zero H) negative short run profits cause firms to exit in the long run, until profits rise to zero I) none of the above 15. Which of the following statements about the long run average cost curve (LAC) would generally be true? I) When the LAC is falling, the production function is exhibiting decreasing returns to scale. II) The LAC forms an envelope underneath all the possible short run average cost curves III) Smaller firms can use specialized inputs that allow them to save money, so that larger firms often find themselves less efficient. A) only I F) II & III B) only II G) I, II & III C) only III D) I & II H) none of the three E) I & III Page 6 of 7 16-20. A firm is the only firm in an industry (and so has monopoly power in the short run). The firm has total costs in the short run given by: TC = 0.25q2 + 6q + 64 q2 where q is output per day and TC is the total cost per day in dollars (this is the same cost function used in questions 9-14). The firm has fixed costs of $48 (already included in the TC equation above). The demand curve facing the industry is given by the equation P = 24 - .125Q where P is the price per unit and Q is the number of units demanded per day. Questions 16 through 20 concern this firm and this industry. 16. In the short run, this firm will charge a price equal to: A) $24 F) $20 B) $23 G) $19.50 C) $22 H) $19 D) $21 I) $18 E) $20.50 J) $21.40 17. Continuing the problem begun in question 16, the firm in the short run will earn profits of: A) $0 F) $296 B) $80 G) $128 C) $152 H) $168 D) -$18 I) $225 E) $15 J) none of the above 18. Continuing the problem, suppose that the government imposes a tax on the buyers of this product of $6 per unit. In the short run, this total price paid by buyers (including the tax) will be equal to: A) $24 F) $20 B) $23 G) $19.50 C) $22 H) $19 D) $21 I) $18 E) $20.50 J) $21.40 19. Continue the problem begun in question 18 (in which the government imposes a tax on the buyers of this product of $6 per unit). In the short run, the fraction of the tax that falls on sellers will be equal to: A) 0 F) 7/12 B) 1/6 G) 2/3 C) 1/4 H) 3/4 D) 1/3 I) 5/6 E) 1/2 J) 1 20. Continue the problem begun in question 18 (in which the government imposes a tax on the buyers of this product of $6 per unit). The firm in the short run will earn profits of: A) $0 F) $144 B) $16 G) $156 C) $32 H) $168 D) $96 I) $225 E) $128 J) none of the above Page 7 of 7 21. Which of the following statements about monopoly is (are) generally true? I) In the long run, monopolists must always make zero profits. II) The monopolist will always produce where MC=MR, as long as PAVC. III) The monopolist will never produce where demand is inelastic. A) only I F) II & III B) only II G) I, II & III C) only III D) I & II H) none of the three E) I & III 22. Which of the following statements about monopoly is (are) generally true? I) In the long run, the monopolist will produce where LAC is minimized. II) Monopoly is inefficient because production takes place at P>MC. III) The MC curve above minimum AVC is the monopolist’s supply curve. A) only I F) II & III B) only II G) I, II & III C) only III D) I & II H) none of the three E) I & III 23-25. A single firm owns the only bridge across a local river. The Fixed Cost of the bridge is $2100 per day and there are no Variable Costs. The Demand is P = 10 - 0.01Q, where Q is the number of consumers using the bridge per day and P is the price charged to each consumer in dollars as a toll to each user (each user pays only one toll per day). Questions 23 through 25 concern this bridge. 23. What is the total gain to society (GTS) if a monopoly firm operates the bridge and maximizes profits? A) $0 F) $1650 B) $400 G) $1850 C) $450 H) $2150 D) $800 I) $2500 E) $1250 J) $2900 24. If the government decides to regulate the bridge and requires the firm to charge a price that reduces economic profits to zero, what price will be charged? A) $0 F) $3 B) $1 G) $3.50 C) $1.50 H) $4 D) $2 I) $5 E) $2.50 J) $7 25. When the government regulates the bridge as described in Question 24, by how much does the total gain to society (GTS) rise over the situation described in question 23 where the monopolist maximizes profits? A)$0 F) $1650 B) $400 G) $200 C) $450 H) $250 D) $800 I) $650 E) $1250 J) $900 26. What is the version of the exam which you have just written? Hint - your correct answer is A A) Version A B) Version B C) Version C D) Version D