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A monopolist has its total costs (TC) of production given in Table 3. The (inverse) demand curve it faces in the market is described by this equation: P = a − bQ = 3, 000 − (31.15)Q. Table 3: Total Co...

A monopolist has its total costs (TC) of production given in Table 3. The (inverse) demand

curve it faces in the market is described by this equation: P = a − bQ = 3, 000 − (31.15)Q. Table 3: Total Costs for a Monopolist

Q

TC

Q

TC

0

800

21

6243.2

1

1131.2

22

6977.6

2

1409.6

23

7810.4

3

1642.4

24

8748.8

4

1836.8

25

9800

5

2000

26

10971.2

6

2139.2

27

12269.6

7

2261.6

28

13702.4

8

2374.4

29

15276.8

9

2484.8

30

17000

10

2600

31

18879.2

11

2727.2

32

20921.6

12

2873.6

33

23134.4

13

3046.4

34

25524.8

14

3252.8

35

28100

15

3500

36

30867.2

16

3795.2

37

33833.6

17

4145.6

38

37006.4

18

4558.4

39

40392.8

19

5040.8

40

44000

20

5600

PLEASE SHOW HOW TO GRAPH IN EXCEL!!!

3(b). Draw the MC and ATC curves using the values derived for 3(a). Draw the inverse demand curve and its corresponding MR curve. Note: for the MR curve, be sure to use the equation learned in class, M R = a − 2bQ.

3(c). What is the price (PM ) and quantity (QM ) that the monopolist will choose in order to maximize pro t?

3(d). What is their total pro t from the price and quantity combination in 3(c)?3(e). What is the consumer surplus when they charge the price PM from 3(c)?

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Answer #1

3(a):

I've calculated MC and ATC in the table below. I've also calculated price based on the inverse demand formula: 3000 - 31.15Q and the Marginal revenue based on the formula: 3000 - 62.3Q.

Q TC ATC MC Price MR
0 800 3000 3000
1 1131.2 1131.2 331.2 2968.85 2937.7
2 1409.6 704.8 278.4 2937.7 2875.4
3 1642.4 547.4667 232.8 2906.55 2813.1
4 1836.8 459.2 194.4 2875.4 2750.8
5 2000 400 163.2 2844.25 2688.5
6 2139.2 356.5333 139.2 2813.1 2626.2
7 2261.6 323.0857 122.4 2781.95 2563.9
8 2374.4 296.8 112.8 2750.8 2501.6
9 2484.8 276.0889 110.4 2719.65 2439.3
10 2600 260 115.2 2688.5 2377
11 2727.2 247.9273 127.2 2657.35 2314.7
12 2873.6 239.4667 146.4 2626.2 2252.4
13 3046.4 234.3385 172.8 2595.05 2190.1
14 3252.8 232.3429 206.4 2563.9 2127.8
15 3500 233.3333 247.2 2532.75 2065.5
16 3795.2 237.2 295.2 2501.6 2003.2
17 4145.6 243.8588 350.4 2470.45 1940.9
18 4558.4 253.2444 412.8 2439.3 1878.6
19 5040.8 265.3053 482.4 2408.15 1816.3
20 5600 280 559.2 2377 1754
21 6243.2 297.2952 643.2 2345.85 1691.7
22 6977.6 317.1636 734.4 2314.7 1629.4
23 7810.4 339.5826 832.8 2283.55 1567.1
24 8748.8 364.5333 938.4 2252.4 1504.8
25 9800 392 1051.2 2221.25 1442.5
26 10971.2 421.9692 1171.2 2190.1 1380.2
27 12269.6 454.4296 1298.4 2158.95 1317.9
28 13702.4 489.3714 1432.8 2127.8 1255.6
29 15276.8 526.7862 1574.4 2096.65 1193.3
30 17000 566.6667 1723.2 2065.5 1131
31 18879.2 609.0065 1879.2 2034.35 1068.7
32 20921.6 653.8 2042.4 2003.2 1006.4
33 23134.4 701.0424 2212.8 1972.05 944.1
34 25524.8 750.7294 2390.4 1940.9 881.8
35 28100 802.8571 2575.2 1909.75 819.5
36 30867.2 857.4222 2767.2 1878.6 757.2
37 33833.6 914.4216 2966.4 1847.45 694.9
38 37006.4 973.8526 3172.8 1816.3 632.6
39 40392.8 1035.713 3386.4 1785.15 570.3
40 44000 1100 3607.2 1754 508

Solu-hon, - a-ba. t3we how tha七 both Ate and HC, fn伙nedaco.ardyanin cnco e 3o00 1A le oemand ISPace and quenhity combinat om in s): 46033

th OL 3000 Mic Consumer Surplus ATC Demand MR ぼ 2

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