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An economy has two goods: beer and pretzels. The following two tables list the prices and quantities for 2020 and 2021 along with nominal GDP, real GDP, and the GDP deflator.(Express your answer to two decimal points.)Year Good Price Quantity2020 Beer $4.00 2,000  Pretzels $3.00 ??2021 Beer $4.50 2,500  Pretzels ?? 6,000Year Nominal GDP Real GDP GDP Deflator (2020=1)2020 $23,000.00 $23,000.00 1002021 ?? $28,000.00 1.2059What is the price of pretzels in 2021?(Round your answer to two decimal points.)

Question

An economy has two goods: beer and pretzels. The following two tables list the prices and quantities for 2020 and 2021 along with nominal GDP, real GDP, and the GDP deflator.(Express your answer to two decimal points.)Year Good Price Quantity2020 Beer 4.002,000 Pretzels4.00 2,000  Pretzels 3.00 ??2021 Beer 4.502,500 Pretzels??6,000YearNominalGDPRealGDPGDPDeflator(2020=1)20204.50 2,500  Pretzels ?? 6,000Year Nominal GDP Real GDP GDP Deflator (2020=1)2020 23,000.00 23,000.001002021??23,000.00 1002021 ?? 28,000.00 1.2059What is the price of pretzels in 2021?(Round your answer to two decimal points.)

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Solution

To find the price of pretzels in 2021, we first need to calculate the Nominal GDP for 2021. We can do this by dividing the Real GDP by the GDP Deflator (expressed as a decimal), as follows:

Nominal GDP 2021 = Real GDP 2021 / GDP Deflator 2021 Nominal GDP 2021 = 28,000.00/1.2059NominalGDP2021=28,000.00 / 1.2059 Nominal GDP 2021 = 23,221.31

Next, we subtract the total cost of beer in 2021 from the Nominal GDP to find the total cost of pretzels in 2021. The cost of beer is the price times the quantity:

Cost of Beer 2021 = Price of Beer 2021 * Quantity of Beer 2021 Cost of Beer 2021 = 4.502,500CostofBeer2021=4.50 * 2,500 Cost of Beer 2021 = 11,250.00

Now we subtract the cost of beer from the Nominal GDP to find the total cost of pretzels:

Cost of Pretzels 2021 = Nominal GDP 2021 - Cost of Beer 2021 Cost of Pretzels 2021 = 23,221.3123,221.31 - 11,250.00 Cost of Pretzels 2021 = $11,971.31

Finally, we divide the total cost of pretzels by the quantity to find the price per pretzel:

Price of Pretzels 2021 = Cost of Pretzels 2021 / Quantity of Pretzels 2021 Price of Pretzels 2021 = 11,971.31/6,000PriceofPretzels2021=11,971.31 / 6,000 Price of Pretzels 2021 = 1.99

So, the price of pretzels in 2021 is $1.99.

This problem has been solved

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