1 00:00:00,040 --> 00:00:02,460 The following content is provided under a Creative 2 00:00:02,460 --> 00:00:03,870 Commons license. 3 00:00:03,870 --> 00:00:06,910 Your support will help MIT OpenCourseWare continue to 4 00:00:06,910 --> 00:00:10,560 offer high-quality educational resources for free. 5 00:00:10,560 --> 00:00:13,460 To make a donation or view additional materials from 6 00:00:13,460 --> 00:00:18,090 hundreds of MIT courses, visit MIT OpenCourseWare at 7 00:00:18,090 --> 00:00:19,340 ocw.mit.edu. 8 00:00:22,870 --> 00:00:26,770 GREG HUTKO: Today we're going to do Fall 2010, P Set Six, 9 00:00:26,770 --> 00:00:28,640 Problem Number Four. 10 00:00:28,640 --> 00:00:30,910 And for this problem we're going to shift away from what 11 00:00:30,910 --> 00:00:33,220 we've usually been talking about, where we're dealing 12 00:00:33,220 --> 00:00:36,000 with a straight equilibrium, setting the demand curve equal 13 00:00:36,000 --> 00:00:37,440 to the supply curve. 14 00:00:37,440 --> 00:00:39,590 And now we're going to think about what happens when the 15 00:00:39,590 --> 00:00:41,400 supplier has market power. 16 00:00:41,400 --> 00:00:43,670 When they're the only competitor in the market, and 17 00:00:43,670 --> 00:00:46,560 they can decide how much quantity they want to produce. 18 00:00:46,560 --> 00:00:49,550 And they don't have to worry about other producers coming 19 00:00:49,550 --> 00:00:51,160 in and producing. 20 00:00:51,160 --> 00:00:52,050 Problem Number Four-- 21 00:00:52,050 --> 00:00:53,430 I'll read through Part A-- 22 00:00:53,430 --> 00:00:55,790 states, "A monopolist firm faces the 23 00:00:55,790 --> 00:00:57,550 following cost curve. 24 00:00:57,550 --> 00:01:01,520 The cost equal Q squared plus 15, where Q is the output 25 00:01:01,520 --> 00:01:05,420 produced, the demand for its product is given by P equals 26 00:01:05,420 --> 00:01:09,050 24 minus Q. We need to calculate the non-price 27 00:01:09,050 --> 00:01:12,750 discriminating consumer surplus, the producer surplus, 28 00:01:12,750 --> 00:01:17,210 and the deadweight loss associated with the monopoly." 29 00:01:17,210 --> 00:01:19,620 Now, what this problem's really going to look like-- we 30 00:01:19,620 --> 00:01:24,030 can think about it starting with this graph. 31 00:01:24,030 --> 00:01:26,920 Is, instead of producing output to the point of the 32 00:01:26,920 --> 00:01:30,490 equilibrium right here, the supplier can actually make 33 00:01:30,490 --> 00:01:35,450 more money by saying I'm only going to produce to a point 34 00:01:35,450 --> 00:01:40,570 right here, so this is what we're looking for. 35 00:01:40,570 --> 00:01:43,470 We're wondering how much is the supplier actually going to 36 00:01:43,470 --> 00:01:46,900 constrict the supply in the market. 37 00:01:46,900 --> 00:01:52,780 And when they constrict this supply, what happens is this 38 00:01:52,780 --> 00:01:55,790 small triangle right here becomes the deadweight loss. 39 00:01:55,790 --> 00:01:59,290 This is potential surplus that would have existed when this 40 00:01:59,290 --> 00:02:03,210 whole big triangle was the consumer surplus 41 00:02:03,210 --> 00:02:04,760 plus producer surplus. 42 00:02:04,760 --> 00:02:06,830 So now nobody's getting that triangle. 43 00:02:06,830 --> 00:02:10,625 But the producer surplus is much bigger than it would have 44 00:02:10,625 --> 00:02:14,080 been when it was just the space below the price level to 45 00:02:14,080 --> 00:02:14,800 the supply curve. 46 00:02:14,800 --> 00:02:16,870 So the producers are better off. 47 00:02:16,870 --> 00:02:19,550 The consumers are going to be worse off. 48 00:02:19,550 --> 00:02:22,450 And society as a whole-- adding together the producers' 49 00:02:22,450 --> 00:02:24,140 and the consumers' surplus-- 50 00:02:24,140 --> 00:02:26,210 is going to be worse off. 51 00:02:26,210 --> 00:02:29,030 Now, the way the producers actually make their decision 52 00:02:29,030 --> 00:02:32,310 on how much to produce is, when they're moving this line 53 00:02:32,310 --> 00:02:35,260 back and forth deciding how much they want to constrict 54 00:02:35,260 --> 00:02:38,470 the quantity that they're going to supply, and when 55 00:02:38,470 --> 00:02:42,300 they're supplying more, the quantity they're supplying is 56 00:02:42,300 --> 00:02:44,540 going to be increasing. 57 00:02:44,540 --> 00:02:46,080 But as they supply more-- 58 00:02:46,080 --> 00:02:48,360 since the demand curve is downward sloping-- 59 00:02:48,360 --> 00:02:51,600 the price is going to be going down. 60 00:02:51,600 --> 00:02:54,120 And now the way the producer actually makes their 61 00:02:54,120 --> 00:02:57,470 production decision is to say, OK, I know I'm going to lose 62 00:02:57,470 --> 00:03:00,210 some money if I'm producing more, because the price is 63 00:03:00,210 --> 00:03:01,250 going to be falling. 64 00:03:01,250 --> 00:03:04,610 What I want to know is I want to produce as much as I can so 65 00:03:04,610 --> 00:03:07,160 that, at the margin, the cost of producing that one 66 00:03:07,160 --> 00:03:10,390 additional unit is the same as the revenue that I'm going to 67 00:03:10,390 --> 00:03:12,620 be taking in for that additional unit. 68 00:03:12,620 --> 00:03:15,320 The point where I'm producing, and the additional cost of 69 00:03:15,320 --> 00:03:17,690 that unit is more than the additional money that I'm 70 00:03:17,690 --> 00:03:20,510 taking in, I'm going to stop assuming that there's no 71 00:03:20,510 --> 00:03:22,330 competition. 72 00:03:22,330 --> 00:03:24,790 So the monopolist firm is going to set the marginal cost 73 00:03:24,790 --> 00:03:26,960 equal to the marginal revenue. 74 00:03:26,960 --> 00:03:29,800 So we have a total cost function, so calculating the 75 00:03:29,800 --> 00:03:32,780 marginal cost is pretty straightforward. 76 00:03:32,780 --> 00:03:37,370 I'm just going to take the derivative with respect to Q, 77 00:03:37,370 --> 00:03:39,320 and the marginal cost for a monopolist firm 78 00:03:39,320 --> 00:03:41,420 is going to be 2Q. 79 00:03:41,420 --> 00:03:43,890 Now, it's tempting when we look at this revenue 80 00:03:43,890 --> 00:03:46,770 function-- revenue just being the total quantity I'm 81 00:03:46,770 --> 00:03:49,220 producing times the price I'm receiving. 82 00:03:49,220 --> 00:03:52,090 It's tempting to just take the derivative here with respect 83 00:03:52,090 --> 00:03:55,270 to Q, and say that marginal revenue is going 84 00:03:55,270 --> 00:03:57,340 to be equal to price. 85 00:03:57,340 --> 00:03:59,800 But that's not what the monopolist does. 86 00:03:59,800 --> 00:04:02,080 Because in a competitive situation, we were setting 87 00:04:02,080 --> 00:04:04,770 marginal cost equal to P. 88 00:04:04,770 --> 00:04:08,120 In the monopolist situation, the monopolist is going to 89 00:04:08,120 --> 00:04:12,190 look at this P right here, and they're going to say I know 90 00:04:12,190 --> 00:04:17,149 how the consumers are going to respond based on my decision 91 00:04:17,149 --> 00:04:18,160 to produce. 92 00:04:18,160 --> 00:04:25,030 So I'm going to replace this P with the demand curve, 24 93 00:04:25,030 --> 00:04:29,880 minus Q. So I can plan how much I'm producing based on 94 00:04:29,880 --> 00:04:32,150 what I know the consumer's response to my production 95 00:04:32,150 --> 00:04:35,550 choice is going to be. 96 00:04:35,550 --> 00:04:38,910 So instead of taking the derivative of this function, 97 00:04:38,910 --> 00:04:45,340 I'm going to plug-in 24 minus Q and we're going to find the 98 00:04:45,340 --> 00:04:48,440 marginal revenue using this function. 99 00:04:48,440 --> 00:04:53,690 When we do this, we find that the marginal revenue is equal 100 00:04:53,690 --> 00:04:57,370 to 24 minus 2Q. 101 00:04:57,370 --> 00:05:01,730 And all we have to do now is we have to set the marginal 102 00:05:01,730 --> 00:05:04,900 revenue and the marginal cost equal, and we can find the 103 00:05:04,900 --> 00:05:07,140 quantity that's going to be produced at 104 00:05:07,140 --> 00:05:08,390 the monopolist outcome. 105 00:05:10,960 --> 00:05:13,930 Solving for Q, you find that the quantity is going to be 106 00:05:13,930 --> 00:05:15,490 equal to 6. 107 00:05:15,490 --> 00:05:18,890 And then we can solve for the price just by going back to 108 00:05:18,890 --> 00:05:22,020 the demand curve that's given on our graph. 109 00:05:22,020 --> 00:05:35,740 The price here in the monopolist case 110 00:05:35,740 --> 00:05:39,740 is going to be 18. 111 00:05:39,740 --> 00:05:41,640 So now we can come back to our graph. 112 00:05:41,640 --> 00:05:44,630 We know that the monopolist level of output is going to be 113 00:05:44,630 --> 00:05:47,460 6, so we can label this 0.6. 114 00:05:47,460 --> 00:05:49,510 We know the price that's going to be charged-- 115 00:05:49,510 --> 00:05:52,710 which is not the intersection with the supply curve, it's 116 00:05:52,710 --> 00:05:55,050 going to be the intersection with the demand curve-- 117 00:05:55,050 --> 00:05:58,950 this price is going to be 18. 118 00:05:58,950 --> 00:06:02,910 And on our graph it's going to also be useful to label two 119 00:06:02,910 --> 00:06:04,130 more points. 120 00:06:04,130 --> 00:06:06,600 That'll just make it easier for us to calculate consumer 121 00:06:06,600 --> 00:06:09,690 surplus, producer surplus, and deadweight loss. 122 00:06:09,690 --> 00:06:13,720 We're going to want to label this point right here so the 123 00:06:13,720 --> 00:06:18,010 equilibrium quantity is 8-- and you'll see in a second why 124 00:06:18,010 --> 00:06:19,230 I'm labeling that. 125 00:06:19,230 --> 00:06:22,230 And you're also going to want to label where, when the 126 00:06:22,230 --> 00:06:25,230 quantity is 6, the intersection 127 00:06:25,230 --> 00:06:26,150 with the supply curve. 128 00:06:26,150 --> 00:06:30,770 So when the quantity is 6, you know that the marginal cost 129 00:06:30,770 --> 00:06:32,150 curve is given here. 130 00:06:32,150 --> 00:06:39,480 So that means the intersection right here is going to be 12. 131 00:06:39,480 --> 00:06:42,530 And this is going to make our calculations of the area of 132 00:06:42,530 --> 00:06:46,850 PS, the area of CS, and the area of DWL just 133 00:06:46,850 --> 00:06:49,210 a little bit easier. 134 00:06:49,210 --> 00:06:52,060 Now, to calculate consumer surplus, I'm just going to 135 00:06:52,060 --> 00:06:56,390 multiply the height of this triangle right here by the 136 00:06:56,390 --> 00:06:57,930 length of the triangle, and I'm going to 137 00:06:57,930 --> 00:06:59,440 take one half of that. 138 00:06:59,440 --> 00:07:13,210 So consumer surplus in this situation is 139 00:07:13,210 --> 00:07:15,500 going to equal 18. 140 00:07:15,500 --> 00:07:16,910 And now we're going to do the same thing 141 00:07:16,910 --> 00:07:18,460 for producer surplus. 142 00:07:18,460 --> 00:07:21,490 We're going to add the area of this rectangle to the area of 143 00:07:21,490 --> 00:07:23,220 this triangle at the bottom as well. 144 00:07:37,160 --> 00:07:41,400 So the first term here that's given is the area of the 145 00:07:41,400 --> 00:07:46,100 rectangle, and the term here is the area of the triangle. 146 00:07:46,100 --> 00:07:47,600 Adding these together, we're going to find that the 147 00:07:47,600 --> 00:07:53,810 producer surplus is 72. 148 00:07:53,810 --> 00:07:55,900 And now, to calculate the deadweight loss you really 149 00:07:55,900 --> 00:07:57,360 have two options. 150 00:07:57,360 --> 00:08:01,070 One, you could find the total producer and consumer surplus 151 00:08:01,070 --> 00:08:01,990 at equilibrium-- 152 00:08:01,990 --> 00:08:04,960 so the area of this large triangle right here. 153 00:08:04,960 --> 00:08:08,270 And you could subtract out the new consumer surplus and the 154 00:08:08,270 --> 00:08:11,100 new producer surplus, and you'll be left with only the 155 00:08:11,100 --> 00:08:12,660 deadweight loss. 156 00:08:12,660 --> 00:08:14,720 For our purposes, it's going to be a little bit easier to 157 00:08:14,720 --> 00:08:18,400 just take the height of the triangle and the length of the 158 00:08:18,400 --> 00:08:21,110 base, and to multiply through. 159 00:08:21,110 --> 00:08:22,730 When we do that, we're going to find that the deadweight 160 00:08:22,730 --> 00:08:38,220 loss is going to be equal to 6. 161 00:08:44,150 --> 00:08:46,600 And so you can see that the producer surplus is pretty 162 00:08:46,600 --> 00:08:48,570 high in this situation. 163 00:08:48,570 --> 00:08:50,590 And so the government's going to come in in our next 164 00:08:50,590 --> 00:08:52,810 problem, and they're going to say we have an intervention 165 00:08:52,810 --> 00:08:55,540 that might be able to correct this problem that we see in 166 00:08:55,540 --> 00:08:56,900 the market. 167 00:08:56,900 --> 00:08:59,460 Part B says, "How does charging the monopolist a 168 00:08:59,460 --> 00:09:05,050 specific tax of $8 per unit affect the monopoly optimum, 169 00:09:05,050 --> 00:09:08,660 and the welfare of consumers, the monopoly, and society, 170 00:09:08,660 --> 00:09:11,810 where society's welfare or surplus includes the tax 171 00:09:11,810 --> 00:09:14,940 revenue?" 172 00:09:14,940 --> 00:09:19,050 So, what's basically happening in this new case is we're 173 00:09:19,050 --> 00:09:21,630 going to start off with the same sort of problem where the 174 00:09:21,630 --> 00:09:25,430 monopolist gets to decide how much they're going to output. 175 00:09:25,430 --> 00:09:28,140 And we're interested in the marginal cost and 176 00:09:28,140 --> 00:09:30,100 the marginal revenue. 177 00:09:30,100 --> 00:09:36,080 Now, the marginal revenue is going to be represented by the 178 00:09:36,080 --> 00:09:39,460 same equation, and we're going to substitute in for price the 179 00:09:39,460 --> 00:09:40,710 demand curve again. 180 00:09:45,610 --> 00:09:48,500 And when we solve through, substituting in for the demand 181 00:09:48,500 --> 00:09:50,020 curve and taking the derivative, we're going to 182 00:09:50,020 --> 00:09:58,060 find that the marginal revenue is again going to be equal to 183 00:09:58,060 --> 00:10:02,810 24 minus 2Q. 184 00:10:02,810 --> 00:10:05,330 So the marginal revenue hasn't changed at all. 185 00:10:05,330 --> 00:10:07,330 What is going to change is going to be the total cost 186 00:10:07,330 --> 00:10:16,260 curve for the monopolist. So this was the cost curve that 187 00:10:16,260 --> 00:10:19,670 we started off with, but now for each unit Q that the 188 00:10:19,670 --> 00:10:22,680 monopolist produces, it's going to be taxed 189 00:10:22,680 --> 00:10:24,790 at a rate of t. 190 00:10:24,790 --> 00:10:30,310 So we can add in the cost of the tax. 191 00:10:30,310 --> 00:10:32,650 And in the next step, I'm going to take the derivative 192 00:10:32,650 --> 00:10:37,160 with respect to Q, and I'm going to substitute in for t 193 00:10:37,160 --> 00:10:39,950 the price of the tax, or 8. 194 00:10:39,950 --> 00:10:52,410 So now our new marginal cost is equal to 2Q plus 8. 195 00:10:52,410 --> 00:10:54,200 And to solve for our new equilibrium, we're just going 196 00:10:54,200 --> 00:10:59,100 to set marginal cost and marginal revenue equal. 197 00:10:59,100 --> 00:11:00,370 And when we do that, we're going to find that 198 00:11:00,370 --> 00:11:05,080 Q is equal to 4. 199 00:11:05,080 --> 00:11:17,960 And plugging into the demand curve, you're going to find 200 00:11:17,960 --> 00:11:21,500 that the price is equal to 20. 201 00:11:21,500 --> 00:11:25,100 Now in this problem, you could go through and you could go 202 00:11:25,100 --> 00:11:27,430 ahead and you could calculate the consumer surplus, the 203 00:11:27,430 --> 00:11:30,220 producer surplus, the deadweight loss and the tax 204 00:11:30,220 --> 00:11:33,510 revenue, and you could figure out quantitatively how much 205 00:11:33,510 --> 00:11:34,560 they've changed. 206 00:11:34,560 --> 00:11:36,530 But we're just going to draw a new graph, and we're going to 207 00:11:36,530 --> 00:11:39,710 look at the changes in consumer surplus, producer 208 00:11:39,710 --> 00:11:43,110 surplus, and deadweight loss, and make a qualitative 209 00:11:43,110 --> 00:11:47,770 assessment of how those quantities have changed. 210 00:11:47,770 --> 00:11:55,130 So on a new axes, I'm going to draw the old supply curve and 211 00:11:55,130 --> 00:11:56,380 the demand curve. 212 00:11:58,420 --> 00:12:01,060 Now, what's essentially happening is, since the 213 00:12:01,060 --> 00:12:04,180 suppliers know for each unit they're producing they're 214 00:12:04,180 --> 00:12:08,260 going to have to pay a tax of 8, the supply curve is 215 00:12:08,260 --> 00:12:13,170 essentially shifting up by 8 units. 216 00:12:13,170 --> 00:12:17,210 And I'm representing the new supply curve with an s prime. 217 00:12:17,210 --> 00:12:20,800 So now, instead of the suppliers making their 218 00:12:20,800 --> 00:12:23,250 monopolist decision based on this supply curve and the 219 00:12:23,250 --> 00:12:26,680 demand curve, they're now making it over here. 220 00:12:26,680 --> 00:12:28,860 And so what's going to happen is they're going to have some 221 00:12:28,860 --> 00:12:31,690 new monopolist output. 222 00:12:31,690 --> 00:12:38,010 And in this case, we know the new monopolist output is 4. 223 00:12:38,010 --> 00:12:41,800 We know that the new monopolist price 224 00:12:41,800 --> 00:12:46,670 is going to be 20. 225 00:12:46,670 --> 00:12:51,780 And so we can see on this graph that producer surplus is 226 00:12:51,780 --> 00:12:57,750 going to be represented by this four-sided 227 00:12:57,750 --> 00:12:59,000 figure right here. 228 00:13:01,180 --> 00:13:03,960 We know that the tax revenue is going to be-- since the 229 00:13:03,960 --> 00:13:08,130 distance from this point to this point is 8, from 0 to 4-- 230 00:13:08,130 --> 00:13:12,440 this is going to represent the tax, this box right here. 231 00:13:14,980 --> 00:13:18,480 And we know that the consumer surplus is going to be this 232 00:13:18,480 --> 00:13:23,270 small triangle up top. 233 00:13:23,270 --> 00:13:25,570 Meanwhile, the dead weight loss is anything that's not 234 00:13:25,570 --> 00:13:28,340 represented that would have been in our original producer 235 00:13:28,340 --> 00:13:30,850 surplus, plus consumer surplus. 236 00:13:30,850 --> 00:13:36,410 So the deadweight loss is this large triangle over here. 237 00:13:36,410 --> 00:13:39,670 So basically what's happened is, compared to our initial 238 00:13:39,670 --> 00:13:43,950 case, the government's come in and for society-- 239 00:13:43,950 --> 00:13:45,910 since there's less being produced-- 240 00:13:45,910 --> 00:13:51,210 we've basically shifted the monopolist 241 00:13:51,210 --> 00:13:53,430 quantity over to the left. 242 00:13:53,430 --> 00:13:57,590 This means that, overall, the deadweight loss, this triangle 243 00:13:57,590 --> 00:14:01,120 over here, has increased in size. 244 00:14:01,120 --> 00:14:06,620 So if the deadweight loss is increasing, we can say that 245 00:14:06,620 --> 00:14:08,695 society is going to be worse off in this situation. 246 00:14:11,700 --> 00:14:14,870 In another case, it's also clear to see that the consumer 247 00:14:14,870 --> 00:14:18,760 surplus, since the consumers are paying a higher price for 248 00:14:18,760 --> 00:14:22,980 a lower quantity, we can also say that the consumer surplus 249 00:14:22,980 --> 00:14:24,230 is going to decrease. 250 00:14:26,940 --> 00:14:29,270 So we can safely say that the consumers are going to be 251 00:14:29,270 --> 00:14:31,550 worse off as well. 252 00:14:31,550 --> 00:14:34,710 And then the last interpretation is knowing that 253 00:14:34,710 --> 00:14:37,030 in the first case the producers were allowed to make 254 00:14:37,030 --> 00:14:41,190 their production decision just given the demand curve and 255 00:14:41,190 --> 00:14:43,350 their original supply curve. 256 00:14:43,350 --> 00:14:46,550 Now their production decision also has to take into account 257 00:14:46,550 --> 00:14:49,150 the government taking away some of their profits. 258 00:14:49,150 --> 00:14:51,500 If the government is taking some away some of their 259 00:14:51,500 --> 00:14:56,230 profits, the producers are necessarily going 260 00:14:56,230 --> 00:14:58,080 to have less surplus. 261 00:14:58,080 --> 00:15:01,200 So the producers are going to be worse off as well. 262 00:15:01,200 --> 00:15:03,870 So overall, the only person who might possibly benefit 263 00:15:03,870 --> 00:15:05,690 from this policy would be the government. 264 00:15:05,690 --> 00:15:09,100 But overall, the producers, the consumers, and society are 265 00:15:09,100 --> 00:15:12,180 going to be worse off. 266 00:15:12,180 --> 00:15:15,830 Now, the last part of this problem is part C. And instead 267 00:15:15,830 --> 00:15:21,230 of implementing a tax on the per unit production decision 268 00:15:21,230 --> 00:15:24,010 for the producers, now the government's going to consider 269 00:15:24,010 --> 00:15:25,870 a different tax policy. 270 00:15:25,870 --> 00:15:29,170 Part C says "How does imposing a tax on profits-- 271 00:15:29,170 --> 00:15:32,600 profit after tax equals 1 minus t-- 272 00:15:32,600 --> 00:15:36,930 affect the monopoly optimum, and the welfare of consumers, 273 00:15:36,930 --> 00:15:40,440 the monopoly, and society?" 274 00:15:40,440 --> 00:15:43,660 Now basically, what's happening in this situation is 275 00:15:43,660 --> 00:15:45,390 the government's going to come in. 276 00:15:45,390 --> 00:15:47,800 And they're going to say all right, after you've made your 277 00:15:47,800 --> 00:15:50,515 decision on how much to produce, we're going to take a 278 00:15:50,515 --> 00:15:53,590 set percentage of the producer's surplus. 279 00:15:53,590 --> 00:15:56,880 So if you get a producer's surplus of this amount, then a 280 00:15:56,880 --> 00:16:04,870 certain chunk of it is going to go to Uncle Sam at a tax 281 00:16:04,870 --> 00:16:09,150 percentage which we can say is just x percent. 282 00:16:09,150 --> 00:16:13,520 Now that percentage of tax, it doesn't change the fact that 283 00:16:13,520 --> 00:16:17,440 the producers want to have as much surplus as possible. 284 00:16:17,440 --> 00:16:20,540 Just because they're going to lose, say, 10% of it because 285 00:16:20,540 --> 00:16:23,010 of Uncle Sam, it's not actually going to affect the 286 00:16:23,010 --> 00:16:25,120 fact that they want their producer surplus to be as big 287 00:16:25,120 --> 00:16:26,530 as possible. 288 00:16:26,530 --> 00:16:29,340 So what happens in this situation is that this after 289 00:16:29,340 --> 00:16:32,570 profit tax will not affect the equilibrium at all. 290 00:16:32,570 --> 00:16:33,510 And we're going to be left with the 291 00:16:33,510 --> 00:16:37,540 same consumer surplus. 292 00:16:37,540 --> 00:16:40,500 Producer surplus is going to be lower because of the tax, 293 00:16:40,500 --> 00:16:42,710 but overall, society is going to be left with the same 294 00:16:42,710 --> 00:16:44,510 social welfare. 295 00:16:44,510 --> 00:16:47,440 So really what this problem is looking at through its three 296 00:16:47,440 --> 00:16:50,360 parts, we look at the monopolist situation, and we 297 00:16:50,360 --> 00:16:54,910 look at how the government can try to adjust with tax policy 298 00:16:54,910 --> 00:16:56,630 what's happening in the market. 299 00:16:56,630 --> 00:17:00,710 And what we saw in our second scenario is that when they 300 00:17:00,710 --> 00:17:04,839 charge a per unit tax on the producers, societal welfare is 301 00:17:04,839 --> 00:17:06,119 going to go down. 302 00:17:06,119 --> 00:17:08,829 But in the third case, when they're just taking a set 303 00:17:08,829 --> 00:17:14,069 percentage from the producer surplus, the overall welfare 304 00:17:14,069 --> 00:17:16,930 for the society is going to stay the same. 305 00:17:16,930 --> 00:17:20,890 So bundled in this problem we had the monopolist situation, 306 00:17:20,890 --> 00:17:23,290 setting marginal cost equal to marginal revenue. 307 00:17:23,290 --> 00:17:26,010 And we also looked at tax implications on a per unit 308 00:17:26,010 --> 00:17:33,300 basis, and on a profit basis with a set tax after the 309 00:17:33,300 --> 00:17:34,640 production decision is made. 310 00:17:34,640 --> 00:17:36,200 I hope you found this problem helpful.