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# Calculating own price and cross price elasticity of demand

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B.B. Lean is a catalog retailer of a wide variety of sporting goods and recreational products. Although the market response to the company's spring catalog was generally good, sales of B.B. Lean's \$140 deluxe garment declines from 10,000 to 4,800 units. During this period, a competitor offered a whopping \$52 off their regular \$137 price on deluxe garment bags.

a) Calculate the arc cross-price elasticity of demand for B.B. Lean's deluxe garment bag.
b) B.B. Lean's deluxe garment bag sales recovered from 4800 units to 6000 units following a price reduction of \$130 per unit. Calculate B.B. Lean's arc price elasticity of demand for this product.
c) Assuming the same are price elasticity of demand calculated in part B, determine the future price reduction necessary for B.B. Lean to fully recover lost sales (i.e., regain a volume of 10000 units).

#### Solution Preview

Please refer attached file for complete solution. Expressions typed with the help of Equation writer are missing here.

a. Calculate the arc cross-price elasticity of demand for B.B. Lean's deluxe garment bag.
Cross price elasticity of demand=
Where Q2=New quantity demanded=4800 units
Q1=Original quantity demanded=10000 units
PR2=New ...

#### Solution Summary

Solution describes the methodology to find out own price elasticity and cross price elasticity of demand in the given case.

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## Elasticity of demand

Using the "arc formula" and the data from the table below, compute where possible the own- price and income elasticities of demand. (remember that these elasticities are computed holding all other variables constant).

Price quantity price of related goods income
\$10 600 \$20 \$ 16,000
\$10 600 \$30 \$22,000
\$12 500 \$30 \$22,000
\$10 500 \$20 \$22,000

A. Compute owner price elasticity of demand?

B. Demand is -------- (elastic, inelastic, Unitary elastic)?

C. The cross price elasticity of demand= ------- ?

d. The related good is a------- ?

E. The income elasticity =------- /

F. The good is a ...... good?

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