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 --> 00:00:18,340 hundreds of MIT courses, visit MIT OpenCourseWare at 7 00:00:18,340 --> 00:00:19,590 ocw.mit.edu. 8 00:00:23,387 --> 00:00:28,880 PROFESSOR: All right, so today we are going to finish up our 9 00:00:28,880 --> 00:00:32,080 discussion of consumer theory and then move 10 00:00:32,080 --> 00:00:33,170 on to producer theory. 11 00:00:33,170 --> 00:00:36,030 That is, we're finishing up what's behind the demand curve 12 00:00:36,030 --> 00:00:38,440 and moving on to what's behind the supply curve. 13 00:00:38,440 --> 00:00:43,310 But before we do that, I want to talk about an application 14 00:00:43,310 --> 00:00:46,030 of why income and substitution effects are important. 15 00:00:46,030 --> 00:00:47,910 Income and substitution effects, we talked about this 16 00:00:47,910 --> 00:00:49,170 imaginary budget constraint. 17 00:00:49,170 --> 00:00:51,280 It seems like sort of a vague concept. 18 00:00:51,280 --> 00:00:53,690 We talked last time about labor supply and how you can 19 00:00:53,690 --> 00:00:55,570 get some interestingly different answers. 20 00:00:55,570 --> 00:00:57,840 But I want to talk about an application now, of why 21 00:00:57,840 --> 00:00:59,450 understanding income and substitution effects can 22 00:00:59,450 --> 00:01:01,600 really help you understand the world a bit better. 23 00:01:01,600 --> 00:01:03,820 And the application I want to talk about today is the case 24 00:01:03,820 --> 00:01:06,660 of child labor in developing countries. 25 00:01:06,660 --> 00:01:08,810 Now this is a terrible problem worldwide. 26 00:01:08,810 --> 00:01:11,920 In developing countries in particular, children are 27 00:01:11,920 --> 00:01:13,610 pulled out of school to work. 28 00:01:13,610 --> 00:01:17,010 They then don't develop the skills that can allow them to 29 00:01:17,010 --> 00:01:21,830 earn high wages later in life and as a result, the cycle of 30 00:01:21,830 --> 00:01:24,370 impoverishment continues in these nations, where these 31 00:01:24,370 --> 00:01:26,560 children in turn have low wage jobs and make 32 00:01:26,560 --> 00:01:28,030 their kids go to work. 33 00:01:28,030 --> 00:01:30,060 And it's a major problem in the developing world. 34 00:01:30,060 --> 00:01:31,880 And we all know that one way to help countries out of 35 00:01:31,880 --> 00:01:34,850 poverty is to help them get their kids to get education. 36 00:01:34,850 --> 00:01:37,510 Education is the key to getting out of poverty. 37 00:01:37,510 --> 00:01:39,185 And you can't get education if you're working. 38 00:01:42,720 --> 00:01:44,330 I think that's a generally recognized fact. 39 00:01:44,330 --> 00:01:46,720 A more interesting, controversial fact is well, 40 00:01:46,720 --> 00:01:49,460 what does this imply for the benefits or 41 00:01:49,460 --> 00:01:51,250 cost of free trade? 42 00:01:51,250 --> 00:01:54,530 We'll talk about free trade later in the semester and 43 00:01:54,530 --> 00:01:56,335 we'll come back to this, but basically the idea is look, if 44 00:01:56,335 --> 00:02:00,510 you have free trade, then poor countries can sell more goods 45 00:02:00,510 --> 00:02:04,470 to rich countries and that will allow them to raise their 46 00:02:04,470 --> 00:02:05,750 standard of living. 47 00:02:05,750 --> 00:02:08,080 But many of you will point out that that's contradictory with 48 00:02:08,080 --> 00:02:09,370 our concern over child labor. 49 00:02:09,370 --> 00:02:13,670 Which is if a poor country is going to sell more goods to a 50 00:02:13,670 --> 00:02:16,220 rich country, then maybe kids in that country are going to 51 00:02:16,220 --> 00:02:18,930 have to work harder to make those goods. 52 00:02:18,930 --> 00:02:20,920 And one concern people have when they talk about free 53 00:02:20,920 --> 00:02:22,980 trade agreements is essentially we're dooming the 54 00:02:22,980 --> 00:02:26,520 children of these impoverished countries to work harder to 55 00:02:26,520 --> 00:02:28,530 make the goods that rich countries want. 56 00:02:28,530 --> 00:02:31,270 And that if these impoverished countries weren't engaging in 57 00:02:31,270 --> 00:02:33,100 making all these textiles and all the things these rich 58 00:02:33,100 --> 00:02:34,470 countries want, maybe their kids would be getting an 59 00:02:34,470 --> 00:02:36,970 education instead. 60 00:02:36,970 --> 00:02:39,690 So that's a concern that's been raised about free trade, 61 00:02:39,690 --> 00:02:42,440 but in fact, what we can understand from understanding 62 00:02:42,440 --> 00:02:44,890 income and substitution effects is that, in fact, that 63 00:02:44,890 --> 00:02:46,040 claim may not be true. 64 00:02:46,040 --> 00:02:48,200 In fact, the effect of free trade on 65 00:02:48,200 --> 00:02:50,070 child labor is ambiguous. 66 00:02:50,070 --> 00:02:53,060 And that's what I want to talk through now, an application of 67 00:02:53,060 --> 00:02:55,650 why understanding income and substitution effects matter. 68 00:02:55,650 --> 00:02:57,930 And there's a very interesting study by two professors at 69 00:02:57,930 --> 00:03:01,390 Dartmouth who studied the impact of trade liberalization 70 00:03:01,390 --> 00:03:02,700 in Vietnam. 71 00:03:02,700 --> 00:03:06,400 Vietnam used to have a system where they would not allow 72 00:03:06,400 --> 00:03:09,420 domestic producers to sell rice abroad. 73 00:03:09,420 --> 00:03:13,160 Domestic rice producers had to sell that rice only in Vietnam 74 00:03:13,160 --> 00:03:15,580 and then they introduced free trade provisions in Vietnam 75 00:03:15,580 --> 00:03:18,150 which allowed them to sell that rice abroad as well. 76 00:03:18,150 --> 00:03:20,190 And one concern that was raised is that would mean kids 77 00:03:20,190 --> 00:03:23,005 in Vietnam would have to work harder producing rice so it 78 00:03:23,005 --> 00:03:24,550 could be sold around the world. 79 00:03:24,550 --> 00:03:26,190 Let's see whether that was true. 80 00:03:26,190 --> 00:03:28,150 Well, to think about that, let's first think about it 81 00:03:28,150 --> 00:03:28,920 theoretically. 82 00:03:28,920 --> 00:03:30,170 So let's go to figure 8-1. 83 00:03:33,050 --> 00:03:38,080 Figure 8-1 shows the demand for rice, D sub V the demand 84 00:03:38,080 --> 00:03:41,965 for rice in Vietnam, D sub W is the demand for Vietnamese 85 00:03:41,965 --> 00:03:43,215 rice worldwide. 86 00:03:53,900 --> 00:03:57,820 D sub V is the Vietnamese demand for Vietnamese rice, D 87 00:03:57,820 --> 00:04:02,800 sub W is the world demand for Vietnamese rice, and S sub V 88 00:04:02,800 --> 00:04:04,430 is the supply of Vietnamese rice. 89 00:04:04,430 --> 00:04:06,910 And we assume demand curves are downward sloping, supply 90 00:04:06,910 --> 00:04:08,920 curves are upward sloping, as usual. 91 00:04:08,920 --> 00:04:13,020 So if there was a worldwide market where Vietnamese rice 92 00:04:13,020 --> 00:04:15,720 farmers could sell their rice to the entire world, then 93 00:04:15,720 --> 00:04:18,291 you'd have an equilibrium price P sub W and an 94 00:04:18,291 --> 00:04:20,500 equilibrium quantity of Q sub W. 95 00:04:20,500 --> 00:04:25,530 What happened was until 1989, that was not the case. 96 00:04:25,530 --> 00:04:32,468 Before 1989, the government imposed a quota which said 97 00:04:32,468 --> 00:04:36,880 that rice producers in Vietnam could not sell effectively, 98 00:04:36,880 --> 00:04:38,200 could not sell outside Vietnam. 99 00:04:38,200 --> 00:04:40,320 It wasn't quite that easy, but you could think of it this 100 00:04:40,320 --> 00:04:42,590 way, they could not sell outside Vietnam. 101 00:04:42,590 --> 00:04:46,460 Instead, they could only sell the amount that Vietnamese 102 00:04:46,460 --> 00:04:50,120 citizens demanded of rice, which meant that they sold Qv 103 00:04:50,120 --> 00:04:53,910 units of rice at a price, Pv. So there was a government 104 00:04:53,910 --> 00:04:56,210 imposition which said effectively-- 105 00:04:56,210 --> 00:04:57,660 not quite, but effectively-- 106 00:04:57,660 --> 00:05:00,000 you can only sell rice in Vietnam, so we're going to 107 00:05:00,000 --> 00:05:02,520 sell Qv at a price, Pv. 108 00:05:02,520 --> 00:05:08,840 So then what happened was in the early 1990s, the 109 00:05:08,840 --> 00:05:12,420 government weakened this quota so that by 1997, there was no 110 00:05:12,420 --> 00:05:13,420 longer a quota. 111 00:05:13,420 --> 00:05:15,620 Rice farmers were allowed to sell wherever they want. 112 00:05:15,620 --> 00:05:22,920 So effectively, the country moved from Qv, Pv to Qw, Pw. 113 00:05:22,920 --> 00:05:26,660 Essentially, it expanded the market for Vietnamese rice so 114 00:05:26,660 --> 00:05:28,990 that they were able to sell a larger quantity at a higher 115 00:05:28,990 --> 00:05:33,220 price on the worldwide market. 116 00:05:33,220 --> 00:05:37,500 And the difference between Qv and Qw were exports. 117 00:05:37,500 --> 00:05:40,300 So basically, the government allowed them to export an 118 00:05:40,300 --> 00:05:44,600 extra amount of rice, Qw minus Qv, and allowed them to obtain 119 00:05:44,600 --> 00:05:47,770 a higher price for their rice. 120 00:05:47,770 --> 00:05:50,633 So we'll talk later about whether this is a good idea or 121 00:05:50,633 --> 00:05:51,570 a bad idea in general. 122 00:05:51,570 --> 00:05:53,450 We'll talk about free trade and get on to free trade later 123 00:05:53,450 --> 00:05:54,400 in the semester. 124 00:05:54,400 --> 00:05:56,680 Hint, we like free trade as economists. 125 00:05:56,680 --> 00:05:58,390 I think most of you probably knew that, and we'll talk 126 00:05:58,390 --> 00:06:00,010 about that later in the semester. 127 00:06:00,010 --> 00:06:02,770 But now I want to focus specifically on one question, 128 00:06:02,770 --> 00:06:06,480 which is what did this do to child labor? 129 00:06:06,480 --> 00:06:14,670 Well, if we go the next figure, if 130 00:06:14,670 --> 00:06:16,420 you look for a second-- 131 00:06:16,420 --> 00:06:18,880 forget the shifting supply curves. 132 00:06:18,880 --> 00:06:22,400 The market for child labor is initially at equilibrium at a 133 00:06:22,400 --> 00:06:25,180 supply of child labor of S1-- 134 00:06:25,180 --> 00:06:30,226 that is, the higher the wage, the more the kids will work-- 135 00:06:30,226 --> 00:06:32,880 and demand for child labor of D1-- 136 00:06:32,880 --> 00:06:35,000 that is, the higher the wage, the less the demand there is 137 00:06:35,000 --> 00:06:36,310 for child labor. 138 00:06:36,310 --> 00:06:39,920 And we're in some initial equilibrium where L1 kids work 139 00:06:39,920 --> 00:06:41,510 at a wage, W1. 140 00:06:41,510 --> 00:06:43,540 And let me highlight an important thing about the 141 00:06:43,540 --> 00:06:45,610 supply of labor of kids. 142 00:06:45,610 --> 00:06:47,380 If the kids aren't working, they're in school. 143 00:06:47,380 --> 00:06:49,190 The notion is not if the kids aren't working, they're 144 00:06:49,190 --> 00:06:50,330 sitting at home. 145 00:06:50,330 --> 00:06:51,710 If the kids aren't working, they're in school. 146 00:06:51,710 --> 00:06:55,070 So basically, the more kids are working, the fewer kids 147 00:06:55,070 --> 00:06:56,920 are in school. 148 00:06:56,920 --> 00:07:03,170 So you have this supply, S1, and this demand, D1. 149 00:07:03,170 --> 00:07:07,370 So what free trade does is it shifts out the demand for 150 00:07:07,370 --> 00:07:09,300 child labor. 151 00:07:09,300 --> 00:07:11,490 Because now you need to produce more rice, you need 152 00:07:11,490 --> 00:07:14,050 kids to produce it, so it shifts out to D2. 153 00:07:19,470 --> 00:07:23,470 It's not marked in this diagram, but you would end up, 154 00:07:23,470 --> 00:07:27,810 if you could see where D2 intersects with S1, you'd end 155 00:07:27,810 --> 00:07:32,540 up with a lot more child labor at a higher wage. 156 00:07:37,000 --> 00:07:39,880 And that's the argument for why free trade is bad for 157 00:07:39,880 --> 00:07:40,820 child labor. 158 00:07:40,820 --> 00:07:42,820 Because it increases demand for child labor and therefore 159 00:07:42,820 --> 00:07:45,930 increases the amount of child labor that's used. 160 00:07:45,930 --> 00:07:50,960 But what that argument misses is the income effect, which is 161 00:07:50,960 --> 00:07:54,600 that the rice farmers in Vietnam are now richer. 162 00:07:54,600 --> 00:07:58,220 And one thing they'll do with their wealth is buy their kids 163 00:07:58,220 --> 00:08:00,130 more education. 164 00:08:00,130 --> 00:08:01,870 That is, think about the utility function 165 00:08:01,870 --> 00:08:03,050 of these rice farmers. 166 00:08:03,050 --> 00:08:04,360 They don't want their kids to work. 167 00:08:04,360 --> 00:08:05,600 They understand that their kids are 168 00:08:05,600 --> 00:08:07,800 better off with education. 169 00:08:07,800 --> 00:08:10,310 So what would happen if they won the lottery? 170 00:08:10,310 --> 00:08:11,960 What would happen if they won the lottery is they'd use some 171 00:08:11,960 --> 00:08:12,986 of that money to say hey kids, you don't 172 00:08:12,986 --> 00:08:14,130 have to work anymore. 173 00:08:14,130 --> 00:08:16,050 You get to now go to school instead and build yourselves a 174 00:08:16,050 --> 00:08:17,360 brighter future. 175 00:08:17,360 --> 00:08:20,370 Well, the higher price for rice that exists through world 176 00:08:20,370 --> 00:08:22,330 trade is like them winning the lottery. 177 00:08:22,330 --> 00:08:25,480 Suddenly, rice farmers are richer because each unit they 178 00:08:25,480 --> 00:08:28,270 produce is sold at a higher price. 179 00:08:28,270 --> 00:08:30,450 What are they going to do with that higher wealth? 180 00:08:30,450 --> 00:08:33,010 They're going to allow their kids to work less. 181 00:08:33,010 --> 00:08:34,996 They're going to say, we're effectively richer because 182 00:08:34,996 --> 00:08:37,950 we're now selling our rice at a higher price. 183 00:08:37,950 --> 00:08:40,190 As a caring parent who's richer, I'm going to send my 184 00:08:40,190 --> 00:08:42,240 kids to school instead of having them work. 185 00:08:42,240 --> 00:08:44,340 How do we manifest that in this diagram? 186 00:08:44,340 --> 00:08:47,750 As an inward shift in the supply of child labor. 187 00:08:47,750 --> 00:08:50,910 That is, children get pulled off the market because their 188 00:08:50,910 --> 00:08:54,100 parents now say, I'm going to send them to school instead. 189 00:08:54,100 --> 00:08:57,850 So the supply curve for child labor shifts inwards. 190 00:08:57,850 --> 00:09:01,110 Now, how much it shifts inwards determines what 191 00:09:01,110 --> 00:09:02,640 ultimately happens to child labor. 192 00:09:02,640 --> 00:09:07,500 If it shifts inwards a little bit from S1 to S2, then child 193 00:09:07,500 --> 00:09:09,970 labor on net still increases from L1 to L2. 194 00:09:09,970 --> 00:09:13,340 That is, the demand shift exceeds the supply shift and 195 00:09:13,340 --> 00:09:14,430 on net child labor increases. 196 00:09:14,430 --> 00:09:17,780 That is, on net, free trade does increase child labor. 197 00:09:17,780 --> 00:09:21,900 But if supply shifts in a lot, if parents are a lot richer 198 00:09:21,900 --> 00:09:24,060 and send their kids to school a lot, then actually the 199 00:09:24,060 --> 00:09:28,490 supply of child labor could fall from L1 to L3. 200 00:09:28,490 --> 00:09:30,980 You could have less child labor, even though the demand 201 00:09:30,980 --> 00:09:32,340 for it's gone up. 202 00:09:32,340 --> 00:09:35,090 And that's because of income effects. 203 00:09:35,090 --> 00:09:37,550 The importance of income effects is that the families 204 00:09:37,550 --> 00:09:39,460 are now richer, so they're pulling their 205 00:09:39,460 --> 00:09:40,850 kids out of the market. 206 00:09:40,850 --> 00:09:42,550 And they're pulling their kids out of the market in such 207 00:09:42,550 --> 00:09:48,350 numbers that it exceeds the excess demand for child labor. 208 00:09:48,350 --> 00:09:50,120 So once again, we see the power of income and 209 00:09:50,120 --> 00:09:51,980 substitution effects. 210 00:09:51,980 --> 00:09:55,660 We have the standard market operation, which is g. 211 00:09:55,660 --> 00:09:58,960 We want more rice, we need to hire more kids to produce it. 212 00:09:58,960 --> 00:10:00,790 But we're forgetting the income effect, which is the 213 00:10:00,790 --> 00:10:02,170 price of rice has gone up. 214 00:10:02,170 --> 00:10:04,280 Farmers are now richer, they're now going to send 215 00:10:04,280 --> 00:10:06,040 their kids to school instead of making them work in the 216 00:10:06,040 --> 00:10:07,870 rice paddies. 217 00:10:07,870 --> 00:10:09,870 OK? 218 00:10:09,870 --> 00:10:14,310 So that is the importance of understanding the subtle 219 00:10:14,310 --> 00:10:18,230 argument that comes forth when you think more completely 220 00:10:18,230 --> 00:10:20,860 about income and substitution effects and when you don't 221 00:10:20,860 --> 00:10:23,530 stop and just say, gee, more rice exported 222 00:10:23,530 --> 00:10:25,470 means more child labor. 223 00:10:25,470 --> 00:10:28,790 So the question is, which of these is right? 224 00:10:28,790 --> 00:10:29,320 OK? 225 00:10:29,320 --> 00:10:30,620 Which of these is right? 226 00:10:30,620 --> 00:10:34,200 How do we know whether free trade increases or decreases 227 00:10:34,200 --> 00:10:34,970 the demand for child labor? 228 00:10:34,970 --> 00:10:37,420 Let me first stop and ask a question about the theory. 229 00:10:37,420 --> 00:10:40,170 People understand why an increase in free trade can 230 00:10:40,170 --> 00:10:44,280 either lead to more kids working or less kids working. 231 00:10:44,280 --> 00:10:45,000 Yeah? 232 00:10:45,000 --> 00:10:49,900 AUDIENCE: I'm not sure how you would sustain that increase in 233 00:10:49,900 --> 00:10:50,880 demand for rice. 234 00:10:50,880 --> 00:10:54,065 Because if their kids won't work anymore, how will they 235 00:10:54,065 --> 00:10:55,780 keep up that increase in demand of 236 00:10:55,780 --> 00:10:58,740 rice, keep them wealthy? 237 00:10:58,740 --> 00:11:01,280 Well, see, here's the key point, which is that the price 238 00:11:01,280 --> 00:11:03,070 has gone up. 239 00:11:03,070 --> 00:11:05,250 So the price has gone up, so they don't have to increase 240 00:11:05,250 --> 00:11:06,830 the supply that much. 241 00:11:06,830 --> 00:11:10,310 So the kids could work less, they could work more, or they 242 00:11:10,310 --> 00:11:12,030 could just not supply that much more rice. 243 00:11:12,030 --> 00:11:14,140 But the fact that they sell it in a worldwide market 244 00:11:14,140 --> 00:11:17,580 increases the demand so that they're getting a higher price 245 00:11:17,580 --> 00:11:18,830 and that makes them wealthier. 246 00:11:20,970 --> 00:11:23,060 So now we have to ask, what's the truth? 247 00:11:23,060 --> 00:11:24,150 What happened? 248 00:11:24,150 --> 00:11:28,250 Well, the answer is that how do we tell this? 249 00:11:28,250 --> 00:11:31,470 Well, the way we tell this is we can look, we can use the 250 00:11:31,470 --> 00:11:34,490 fact that the increase in the price of rice varied across 251 00:11:34,490 --> 00:11:36,100 the country. 252 00:11:36,100 --> 00:11:39,890 In some parts of Vietnam, those that were very close to 253 00:11:39,890 --> 00:11:43,950 the border and it was easy to export, there was a big 254 00:11:43,950 --> 00:11:47,050 increase in the demand for rice, a big price increase. 255 00:11:47,050 --> 00:11:50,050 In other parts of Vietnam, those more internal where it's 256 00:11:50,050 --> 00:11:52,490 a huge transportation cost to get to the coast and therefore 257 00:11:52,490 --> 00:11:55,360 export it, it's like nothing happened. 258 00:11:55,360 --> 00:11:58,760 So you can actually ask, what happened to child labor in the 259 00:11:58,760 --> 00:12:00,860 areas close to the border where the price of rice went 260 00:12:00,860 --> 00:12:04,670 up a lot and therefore there's a big effect of this free 261 00:12:04,670 --> 00:12:07,670 trade, versus the areas more internal to the country where 262 00:12:07,670 --> 00:12:09,770 price of rice didn't change much? 263 00:12:09,770 --> 00:12:12,080 And by comparing those two, you can ask, what happened to 264 00:12:12,080 --> 00:12:13,780 child labor in those two areas? 265 00:12:13,780 --> 00:12:18,480 What you find is that child labor went down in the areas 266 00:12:18,480 --> 00:12:21,990 near the coast. They got so much richer from these higher 267 00:12:21,990 --> 00:12:24,760 prices that on net, they used fewer kids to work. 268 00:12:24,760 --> 00:12:28,270 That is, the supply shift was larger than the demand shift. 269 00:12:28,270 --> 00:12:30,950 So actually, free trade lowered overall 270 00:12:30,950 --> 00:12:33,430 use of child labor. 271 00:12:33,430 --> 00:12:36,940 Free trade lowered the overall use of child labor so that 272 00:12:36,940 --> 00:12:41,520 freeing up trade was good for kids, not bad for kids. 273 00:12:41,520 --> 00:12:43,410 We'll talk later about other arguments about why free trade 274 00:12:43,410 --> 00:12:46,430 is good or not, but this is an important point where you can 275 00:12:46,430 --> 00:12:49,150 get beyond a simple intuition of, gee, more kids are going 276 00:12:49,150 --> 00:12:50,700 to work, to say wait a second. 277 00:12:50,700 --> 00:12:55,540 That's offset by the fact that the higher worldwide prices 278 00:12:55,540 --> 00:12:58,450 led parents to allow their kids to go to school rather 279 00:12:58,450 --> 00:13:00,570 than go to work. 280 00:13:00,570 --> 00:13:03,550 And that's an example of the power of income and 281 00:13:03,550 --> 00:13:04,890 substitution effects. 282 00:13:04,890 --> 00:13:10,000 And the power of this theory for understanding how you 283 00:13:10,000 --> 00:13:11,540 might not get what seems, initially, 284 00:13:11,540 --> 00:13:13,360 an intuitive answer. 285 00:13:13,360 --> 00:13:16,890 OK, questions about that example, how it relates to 286 00:13:16,890 --> 00:13:18,090 consumer theory, income or substitution 287 00:13:18,090 --> 00:13:20,130 effects, any of that? 288 00:13:20,130 --> 00:13:20,660 OK. 289 00:13:20,660 --> 00:13:24,750 So that's where we are going to stop on consumer theory, 290 00:13:24,750 --> 00:13:27,110 and that's where the material for the exam will stop. 291 00:13:27,110 --> 00:13:28,900 You can't leave, but that's where the material for the 292 00:13:28,900 --> 00:13:30,480 exam stops, OK? 293 00:13:30,480 --> 00:13:31,670 So the exam will cover everything up to 294 00:13:31,670 --> 00:13:34,745 through this point. 295 00:13:34,745 --> 00:13:37,370 The exam will be on consumer theory.