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Wewaii [24]
3 years ago
8

The price of good X increases from $55 to $60, and quantity demanded decreases from 500 to 400. The price of good Y increases fr

om $55 to $60, and quantity demanded decreases from 500 to 475. Given this information, the:
Business
1 answer:
nikklg [1K]3 years ago
8 0

Answer:

demand curve for Good X is more elastic than the demand curve for Good Y

Demand for good X is elastic because the coefficient of elasticity is greater than 1.

Demand for good Y is inelastic because the coefficient of elasticity is less than 1.

consumers who buy Good Y are less sensitive to price changes than consumers who buy Good X

Explanation:

Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.

Price elasticity of demand = percentage change in quantity demanded / percentage change in price

If the absolute value of price elasticity is greater than one, it means demand is elastic. Elastic demand means that quantity demanded is sensitive to price changes.  

Demand is inelastic if a small change in price has little or no effect on quantity demanded. The absolute value of elasticity would be less than one

Demand is unit elastic if a small change in price has an equal and proportionate effect on quantity demanded.  

For good X,

Percentage change in price = $55 / $60 - 1 = | -0.0833| = 8.33%

Percentage change in quantity demanded = 500 / 400 - 1 = 0.25 = 25%

Elasticity of demand = 25% / 8.33% = 3

Demand for good X is elastic because the coefficient of elasticity is greater than 1.

For good Y,

Percentage change in price = $55 / $60 - 1 = | -0.0833| = 8.33%

Percentage change in quantity demanded = 500 / 475 - 1 = 0.0526 = 5.26%

Elasticity of demand = 5.26% / 8.33% = 0.63

Demand for good Y is inelastic because the coefficient of elasticity is less than 1.

consumers who buy Good Y are less sensitive to price changes than consumers who buy Good X

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Then we calculate the next real exchange rate: multiply 60 (the new nominal exchange rate) by 106 (the new US price index) and divide by 80 (the new India price index). This throws a result of 79,5. We see a 29,5 increase, and 29,5 represents 59% of 50 (the initial real exchange rate).

Then both questions is more common sense than the reading of the results we just calculated. For example, nominal exchange rate changed from 50 to 60, so the people in India will now have to collect 10 more rupees to buy the same dollar. Let's suppose a pair of shoes in USA costs 40 dollars. Before, Indians needed 2000 rupees to buy it. Now they will need 2400 rupees... it will be more expensive. Plus, the prices of USA had gone up 6%, which means the pair of shoes will now cost 42,4 dollars... even more expensive! As products in USA are more expensive, we can expect that India's consumption of American goods will decrease (law of demand).

With the American consumption of Indian goods happens the opposite, the goods in India became cheaper (price index has fallen), and for the Americans, the same dollars they had will buy more rupees when the exchange rate changed to 60.

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