1. Suppose that the annual rates of growth of real GDP of Econoland over a five-year period were sequentially as follows: 3 percent, 1 percent, -2 percent, 4 percent, and 5 percent. What was the average of these growth rates in Econoland over these 5 years? What term would economists use to describe what happened in year 3? If the growth rate in year 3 had been a positive 2 percent rather than a negative 2 percent, what would have been the average growth rate?
2. Suppose that Glitter Gulch, a gold mining firm, increased its sales revenues on newly mined gold from $100 million to $200 million between one year and the next. Assuming that the price of gold increased by 100 percent over the same period, by what numerical amount did Glitter Gulch’s real output change? If the price of gold had not changed, what would have been the change in Glitter Gulch’s real output?
3. A mathematical approximation called the rule of 70 tells us that the number of years that it will take something that is growing to double in size is approximately equal to the number 70 divided by its percentage rate of growth. Thus, if Mexico’s real GDP per person is growing at 7 percent per year, it will take about 10 years (= 70/ 7) to double. Apply the rule of 70 to solve the following problem. Real GDP per person in Mexico in 2005 was about $11,000 per person, while it was about $44,000 per person in the United States. If real GDP per person in Mexico grows at the rate of 5 percent per year, about how long will it take Mexico’s real GDP per person to reach the level that the United States was at in 2005? (Hint: How many times would Mexico’s 2005 real GDP per person have to double to reach the United States’ 2005 real GDP per person?)
4. Assume that a national restaurant firm called BBQ builds 10 new restaurants at a cost of $1 million per restaurant. It outfits each restaurant with an additional $200,000 of equipment and furnishings. To help partially defray the cost of this expansion, BBQ issues and sells 200,000 shares of stock at $30 per share. What is the amount of economic investment that has resulted from BBQ’s actions? How much purely financial investment took place?
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