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Problem 3: Elasticity

In 2021, gasoline prices rose from about $2.30 a gallon in January 2021 to $3.60 a gallon in January 2022. The sales of plug-in hybrid vehicles increased during this time period from about 40,000 a month in January 2021 to 70,000 a month in January 2022. Assume there were no other changes influencing car sales, allowing you to use these numbers to calculate the cross-price elasticity of demand for plug-in hybrid vehicles with respect to gas prices.

a) Using the midpoint formula, calculate the percentage increase in the quantity of plug-in hybrid sales as gas prices rose.

b) Calculate the cross-price elasticity of demand for plug-in hybrids with respect to the price of gas, using the midpoint formula.

c) Use the value for the cross-price elasticity of demand from part b to answer the following questions:

e) If gas prices rise by 5% next year, what will happen to plug-in hybrid sales if all other factors remain constant?

f) How much would gas prices need to fall to decrease plug-in hybrid sales by 30%?

Answer :

Final answer:

The cross price elasticity of demand measures the responsiveness of the quantity demanded of one good to a change in the price of another good. To calculate the cross price elasticity of demand for plug-in hybrid vehicles with respect to gas prices, we use the midpoint formula. By calculating the percentage change in quantity demanded and the percentage change in price, we can determine the cross price elasticity. This value helps us understand the relationship between gas prices and plug-in hybrid sales. Based on this information, we can answer questions about the impact of gas price changes on plug-in hybrid sales.

Explanation:

To calculate the cross price elasticity of demand for plug-in hybrid vehicles with respect to gas prices, we will use the midpoint formula. The midpoint formula is used to calculate the percentage change in quantity demanded and the percentage change in price.

a) Using the midpoint formula, the Quantity of plug-in hybrids sales rose % as Gas Prices rose:

Percentage Change in Quantity Demanded = ((2022Q of plug-in hybrids - 2021Q of plug-in hybrids) / ((2022Q of plug-in hybrids + 2021Q of plug-in hybrids) / 2)) * 100

Percentage Change in Price = ((2022 Price of gas - 2021 Price of gas) / ((2022 Price of gas + 2021 Price of gas) / 2)) * 100

b) Put the two together to calculate the cross price elasticity of demand for plug-in hybrids with respect to the price of gas, using the midpoint formula:

Cross Price Elasticity = (Percentage Change in Quantity Demanded) / (Percentage Change in Price)

c) Use the value for the cross price elasticity of demand from part a to answer the following questions:

e) If gas prices rise 5% next year, what will happen to plug-in hybrid sales if all other factors stay constant?

f) How much would gas prices have to fall in order to decrease plug-in hybrid sales by 30%?

Learn more about calculating cross price elasticity of demand for plug-in hybrid vehicles here:

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Rewritten by : Barada

Final answer:

The cross price elasticity of demand measures the responsiveness of the quantity demanded of one good to a change in the price of another good. To calculate the cross price elasticity of demand for plug-in hybrid vehicles with respect to gas prices, we use the midpoint formula. By calculating the percentage change in quantity demanded and the percentage change in price, we can determine the cross price elasticity. This value helps us understand the relationship between gas prices and plug-in hybrid sales. Based on this information, we can answer questions about the impact of gas price changes on plug-in hybrid sales.

Explanation:

To calculate the cross price elasticity of demand for plug-in hybrid vehicles with respect to gas prices, we will use the midpoint formula. The midpoint formula is used to calculate the percentage change in quantity demanded and the percentage change in price.

a) Using the midpoint formula, the Quantity of plug-in hybrids sales rose % as Gas Prices rose:

Percentage Change in Quantity Demanded = ((2022Q of plug-in hybrids - 2021Q of plug-in hybrids) / ((2022Q of plug-in hybrids + 2021Q of plug-in hybrids) / 2)) * 100

Percentage Change in Price = ((2022 Price of gas - 2021 Price of gas) / ((2022 Price of gas + 2021 Price of gas) / 2)) * 100

b) Put the two together to calculate the cross price elasticity of demand for plug-in hybrids with respect to the price of gas, using the midpoint formula:

Cross Price Elasticity = (Percentage Change in Quantity Demanded) / (Percentage Change in Price)

c) Use the value for the cross price elasticity of demand from part a to answer the following questions:

e) If gas prices rise 5% next year, what will happen to plug-in hybrid sales if all other factors stay constant?

f) How much would gas prices have to fall in order to decrease plug-in hybrid sales by 30%?

Learn more about calculating cross price elasticity of demand for plug-in hybrid vehicles here:

https://brainly.com/question/31293339

#SPJ14