Final answer:
Consumer spending (C) in Hogwarts is $27,000, Investment (I) is $900, Government spending (G) is $3,000, Export income (X) is $2,000, Import cost (M) is $1,500, and the GDP is $31,400.
Step-by-step explanation:
We have a small nation called Hogwarts with key economic values provided. With this information, we can calculate the following economic indicators:
- Consumer spending (C) is calculated by multiplying the number of wage earners by their average annual spending: 300 wage earners × $90 spent per year = $27,000.
Investment (I) is the annual spending on magic wands, which is $900.
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- Government spending (G) is based on the tax rate and total earnings: 300 wage earners × $100 average earnings per year = $30,000 total earnings × 10% tax rate = $3,000.
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- Export income (X) stands at $2,000 as given.
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- Import cost (M) is calculated as $5 spent on imports per wage earner × 300 wage earners = $1,500.
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- To find the Gross Domestic Product (GDP), we use the formula: GDP = C + I + G + (X - M). Plugging in the values we get GDP = $27,000 + $900 + $3,000 + ($2,000 - $1,500) = $31,400.