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- Suppose you learned that the price elasticity of demand for wheat is 0.7 between the current price for wheat and a price 2 higher per bushel. Do you think that farmers collectively would try to reduce the supply of wheat and drive the price up 2 higher per bushel? Explain your answer. Assuming that they would try to reduce supply, what problems might they have in actually doing so?Prove that price elasticity of demand is not the same as the slope of a demand curve.(Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of Si per unit. A reduction in price to $0.20 results in an increase in quantity demanded to 70 units. Using the midpoint formula, show that these data yield a price elasticity of 0.25. By what percentage would a 10 percent rise in the price reduce the quantity demanded, assuming price elasticity remains constant along the demand curve?
- The Stopdecay Company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per month over the past year. Recently, its closest competitor, Decayfigh ter, reduced the price of its electric toothbrush from $35 to $30. As a result, Stopde cays sales declined by 1,500 units per month. What is the arc cross elasticity of demand between Stopdecays toothbrush and Decayfighters toothbrush? What does this indicate about the relationship between the two products? If Stopdecay knows that the arc price elasticity of demand for its toothbrush is 1.5, what price would Stopdecay have to charge to sell the same number of units as it did before the Decayfighter price cut? Assume that Decayfighter holds the price of its toothbrush constant at $30. What is Stopdecays average monthly total revenue from the sale of electric toothbrushes before and after the price change determined in part (b)? Is the result in part (c) necessarily desirable? What other factors would have to be taken into consideration?Suppose Erin, the owner-manager of a local hotel projects the following demand for her rooms: a. Calculate the price elasticity of demand between 90 and 110. b. Is the price elasticity of demand between 90 and 110 elastic, unit elastic, or inelastic? c. Will Erins total revenue rise if she increases the price from 90 to 110? d. Calculate the price elasticity of demand between 110 and 130. e. Is the price elasticity of demand between 110 and 130 elastic, unit elastic, or inelastic? f. Will Erins total revenue rise if she increases the price from 110 to 130?If the midpoint on a straight-line demand curve is at a price of $7, what can we say about the elasticity of demand for a price change from $12 to $10? What about from $6 to $4?