. The seafood restaurant you manage has daily specials. You have observed that the fresh salmon is overstocked and you want to increase salmon sales by 30%. You know the price elasticity of demand for salmon is -1.2. How much (and in what direction) should you change salmon prices to increase sales by 30%? Will this increase or decrease total salmon revenue? How do you know? You also know that fresh salmon and fresh tuna have a cross price elasticity of +.5. With the percentage decrease in salmon prices calculated above, how much more/less fresh tuna will you sell? Are salmon and tuna complements or substitutes at your restaurant?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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24. The seafood restaurant you manage has daily specials. You have observed that the fresh salmon is overstocked and you want to increase salmon sales by 30%. You know the price elasticity of demand for salmon is -1.2. How much (and in what direction) should you change salmon prices to increase sales by 30%? Will this increase or decrease total salmon revenue? How do you know? You also know that fresh salmon and fresh tuna have a cross price elasticity of +.5. With the percentage decrease in salmon prices calculated above, how much more/less fresh tuna will you sell? Are salmon and tuna complements or substitutes at your restaurant?
Expert Solution
Step 1

Given 

The price elasticity of demand for salmon is -1.2

The required increase in the sale of salmon =30%

We know that the price elasticity of demand is calculated as

e=% change in sales% change in price

Cross price elasticity for fresh salmon and fresh tuna is 5

Cross price elasticity is calculated as 

η=% change in sale of tuna % change in price of salmon

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