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Find the cross price elasticity if app prices were reduced, from $12 to $10, and beverage sales increased, from 300 to 600

Marketing Dec 20, 2020

Find the cross price elasticity if app prices were reduced, from $12 to $10, and beverage sales increased, from 300 to 600.

Expert Solution

Given:

Initial Price of App (P0) = $12

New Price of App (P1) = $10

Percentage change in price of App = (P1 -P0)/ P0 * 100 = (10 - 12)/ 12 * 100

Percentage change in price of App = -16.67%

Initial Quantity demanded of beverage (Q0) = 300

New Quantity demanded of beverage (Q1) = 600

Percentage change in quantity demanded of beverage = (Q1 -Q0)/ Q0 * 100 = (600 - 300)/ 300 * 100

Percentage change in quantity demanded of beverage = 100%

Cross Price Elasticity of demand = Percentage change in the quantity demanded/ Percentage Change in price of related good

Cross Price Elasticity of demand = -100%/ 16.67% = -5.99

Thus the cross price elasticity between App and Beverage is -5.99. A negative value of elasticity indicates that, App and beverage are substitutes of each other.

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