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In a coffee shop, the price of coffee increased from 250 to 300

Economics

In a coffee shop, the price of coffee increased from 250 to 300. As a result, the sold quantity decreased by 100 units. At the same time, the sold quantity of cheesecake decreased by 40 pieces. The price of the cheesecake was unchanged: 300. Before the price increase, the total revenue from the cheesecake was 30,000 How much is the cross-price elasticity of cheesecake to the price change of coffee? (number, 2 decimals, indicate with ","sign if it is negative, e.g.-9.99) According to the previous result, the two goods are
In a coffee shop, the price of coffee increased from 250 to 300. As a result, the sold quantity decreased by 100 units. At the same time, the sold quantity of cheesecake decreased by 40 pieces. The price of the cheesecake was unchanged: 300. Before the price increase, the total revenue from the cheesecake was 30,000 How much is the cross-price elasticity of cheesecake to the price change of coffee? indicate with sign if it is negative, e.g. -9.99) (number, 2 decimals, According to the previous result, the two goods are a

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Ans: The cross-price elasticity of cheesecake to the price change of coffee is   -2.75

Explanation:

Before the change in price of coffee ;

Total quantity of cheesecake = Total revenue / price of cheese cake = 30,000 / 300 = 100 pieces  

New quantity of cheesecake = 100 - 40 = 60 pieces

Initial price of coffee ( P1) = $250

New price of coffee ( P2) =$300

Initial quantity of cheesecake ( Q1) = 100

New quantity of cheese cake ( Q2) = 60

Cross -price elasticity of demand   = ?Q/?P *( P1 + P2 / Q1 + Q2)

= {( 60 -100) / ( 300 - 250 ) } * {( 250 + 300 ) / ( 100 + 60 )}

= ( -40 / 50) * ( 550 / 160)

= -0.8 * 3.44

= -2.75

Ans: According to the previous result , the two goods are complementary.

Explanation:

If yhe cross- price elasticity of demand is negative , then the two goods are complementary.

If yhe cross- price elasticity of demand is positive , then the two goods are substitutes.

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