Question

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% 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: relationship between A and B: Product C increases in price from $3 a pound to $4 a pound. This causes the quantity demanded for Product D to increase from 44 units to 85 units. cross-price elasticity between C and D: relationship between C and D: When the price of Product E decreases 2% , this causes its quantity demanded to increase by 14% and the quantity demanded for Product F to increase 17% . cross-price elasticity between E and F: relationship between E and F:

Answer 1

Answer:

a. Cross-price elasticity between A and B: 0. Relationship between A and B: No relationship.

b. Cross-price elasticity between C and D: 2.22. Relationship between C and D: Substitute.

c. Cross-price elasticity between E and F: -8.50. relationship between E and F: Complimentary.

Explanation:

a. Cross-price elasticity between A and B: relationship between A and B:

Percentage change in price of A = 20%

Percentage change in quantity of B =  0%

Cross-price elasticity between A and B = 0%/ 20% = 0.00

Relationship between A and B = No relationship

Note: There is no relationship between A and B because the cross-price elasticity between A and B is zero. That is, change in the price of A does not have any effect on the quantity demanded of B.

b. Cross-price elasticity between C and D: relationship between C and D:

Percentage change in price of C = {($4 - $3) / [($4 + $3) / 2]} * 100 = 28.5714285714286%

Percentage change in quantity of D = {(85 - 44) / [(85 + 44) / 2]} * 100 = 63.5658914728682%

Cross-price elasticity between C and D = 63.5658914728682% / 28.5714285714286% = 2.22

Relationship between C and D = Substitute

Note: The relationship between C and D is substitute because the cross-price elasticity between C and D is positive. That is, an increase in the price of C makes consumer to switch to and buy more of D which is a substitute.

c. cross-price elasticity between E and F: relationship between E and F:

Percentage change in price of E = - 2%

Percentage change in quantity of F =  17%

Cross-price elasticity between E and F = 17%/ (-2%) = - 8.50

Relationship between E and F = Complimentary.

Note: The relationship between E and F is complimentary because the cross-price elasticity between E and F is negative. That is, an increase in the price of E makes consumer to buy more less F which is a compliment or use together with E.