Question

In: Economics

For each scenario, calculate the cross-price elasticity between the two goods and identify how the goods...

For each scenario, calculate the cross-price elasticity between the two goods and identify how the goods are related. Please use the midpoint method when applicable, and specify answers to one decimal place.

A 20%20% price increase for Product A causes a 10%10% decrease in its quantity demanded, but no change in the quantity demanded for Product B.

cross-price elasticity between A and B:

relationship between A and B:

no relationship

Product C increases in price from $5$5 a pound to $11$11 a pound. This causes the quantity demanded for Product D to increase from 1010 units to 1818 units.

cross-price elasticity between C and D:

relationship between C and D:

substitutes

When the price of Product E decreases 9%9%, this causes its quantity demanded to increase by 14%14% and the quantity demanded for Product F to increase 12%12%.

cross-price elasticity between E and F:

relationship between E and F:

complements

Solutions

Expert Solution

Cross price elasticity = percentage change in quantity of X/Percentage change in price of Y

1) A 20% price increase for Product A causes a 10% decrease in its quantity demanded, but no change in the quantity demanded for Product B.

cross-price elasticity between A and B: 0/20% = 0

relationship between A and B:No relation

2) Product C increases in price from $5 a pound to $11 a pound. This causes the quantity demanded for Product D to increase from 10 units to 18 units.

cross-price elasticity between C and D: [18-10/(18+10/2)] / [11-5/(11+5/2)] = (8/14) / (6/8) = 0.5714/0.75 = 0.76

relationship between C and D: Substitute as the elasticity is positive

3)When the price of Product E decreases 9%, this causes its quantity demanded to increase by 14% and the quantity demanded for Product F to increase 12%.

cross-price elasticity between E and F:12%/-9% = -1.33

relationship between E and F: complements as the elasticity is negative.


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