Academics have suggested that loss of worker productivity can result from sleep

Chapter 1, Problem 70

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Academics have suggested that loss of worker productivity can result from sleep deprivation. An article in the September 26, 1993, New York Times quotes David Poltrack, the senior vice president for planning and research at CBS, as saying that seven million Americans are staying up an hour later than usual to watch talk show host David Letterman. The article goes on to quote Timothy Monk, a professor at the University of Pittsburgh School of Medicine, as saying, ... my hunch is that the effect [on productivity due to sleep deprivation among this group] would be in the area of a 10 percent decrement. The article next quotes Robert Solow, a Nobel prize-winning professor of economics at MIT, who suggests the following procedure to estimate the impact that this loss in productivity will have on the US economy an impact he dubbed the Letterman loss. First, Solow says, we find the percentage of the work force who watch the program. Next, we determine this groups contribution to the gross domestic product (GDP). Then we reduce the groups contribution by 10% to account for the loss in productivity due to sleep deprivation. The amount of this reduction is the Letterman loss. (a) The article estimated that the GDP is $6.325 trillion, and that 7 million Americans watch the show. Assume that the nations work force is 118 millionpeople and that 75% of David Lettermans audience belongs to this group. What percentage of the work force is in Daves audience? (b) What percent of the GDP would be expected to come from David Lettermans audience? How much money would they have contributed if they had not watched the show? (c) How big is the Letterman loss?

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