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- (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?If automobiles and gasoline are complements, then their cross-elasticity coefficient is a. strictly greater than 1. b. positive. c. equal to zero. d. negative.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?
- i. ii. iii. Suppose the demand function for a product is given by (3000-9 where p is in hundreds of RM and q is the number of tons. Determine the point elasticity of demand when the quantity demanded is 6 tons. is demand elastic, is it inelastic, or does it have unit elasticity at this point? Approximate the percentage change in price if the demand of 6 tons is decreased by 3%.Consider the demand function for bicycles in South Florida: Q = 24 + 3Y – 1.2P where: Q is quantity demanded, Y is monthly income, and P is the price per unit. If/when P = $54, and Y = $2,300, (a) Find the quantity of bicycles that would be sold. (b) Calculate the amount of the seller's total revenue. (c) Compute the price-elasticity of demand (Ep) for bicycles. (d) Interpret your result in (c). (e) Compute the income-elasticity of demand (Ey) for bicycles. (f) Interpret your result in (e).The demand for wooden chairs can be modeled as D(p) = -0.01p + 6.75 million chairs where p is the price (in dollars) of a chair. (a) Find the point of unit elasticity. The point of elasticity occurs when p = $ and D(p): = (b) For what prices is demand elastic? For what prices is demand inelastic? Demand is inelastic for < p < ■ Demand is elastic for million chairs.A: Suppose the initial demand at the price of $10 was 100. When the price rises to $12, the demand drops to 30. Find the price elasticity of the demand. Is the demand elastic or inelastic in this price range? Will the revenue increase or decrease as the result of this price change? Justify your answer. B:. Using calculus, calculate the price elasticity of the following demand functions: D(p)=10-2ln(p) and D(p)=7p -3 . C: Suppose now that the demand is D(p)=12-3p. At what price is the revenue maximized? What is the maximum revenue? What is the price elasticity of demand at this price?The demand for ceiling fans can be modeled as D(p) = 25.02(0.992) thousand ceiling fans where p is the price (in dollars) of a ceiling fan. (a) Locate the point of unit elasticity. (Round your answers to two decimal places.) The point of elasticity occurs when p = $ and D(p) = thousand ceiling fans. (b) For what prices is demand elastic? For what prices is demand inelastic? (Round your numerical answers to two decimal places.) Demand is inelastic for < p < Demand is elastic for p ? ✓The quantity demanded each week x (in units of a hundred) of the Mikado digital camera is related to the unit price p (in dollars) by the demand equation X = V 400 - 5p (0 sps 80). (a) Is the demand elastic or inelastic when p = 40? elastic O inelastic When p = 70? elastic inelastic (b) When is the demand unitary? p = (c) If the unit price is lowered slightly from $70, will the revenue increase or decrease? increase decrease (d) If the unit price is increased slightly from $40, will the revenue increase or decrease? increase decrease15. Which of the following expressions is valid for the price elasticity of demand? (Q1+ Q2)/[(Q-Q1)/2] (P1+Pa)/[(P-Pi)/2] (Q-Q)/[(Q1+Q»)/ 2] (Pa-P1)/[(P1+ Pa)/ 2] (P1+P)/[(P-Pi)/ 2] (Q1+ Q2)/ [(-Q1)/2] (P-P1)/[(P1+ P2)/2] (Q-Q)/[(Q+ Q)/2] a. Price elasticity of demand = %3D b. Price elasticity of demand = %3D с. Price elasticity of demand = %3D d. Price elasticity of demand = %3DIn this problem, p is in dollars and q is the number of units. Suppose that the demand for a product is given by 2p²q = 10,000 + 5000p2. (a) Find the elasticity when p $50 and q = 2502. (Round your answer %3D (b) Tell what type of elasticity this is: unitary, elastic, or inelastic. Demand is unitary elastic. Demand is elastic. O Demand is inelastic. (c) How would revenue be affected by a price increase? An increase in price decreases revenue. An increase in price increases revenue. Revenue is unaffected by price.Microsoft wants to calculate the effect of a worldwide 5% price cut on its sales of Excel to clients in different countries. Microsoft sells Excel at different prices in U.S., Japan and Europe. Before the price cut U.S. sales were twice sales in Japan and Europe. If the price of elasticity of demand in the U.S., Japan and Europe are -3, -4, and -2 respectively, the worldwide sales rise by A) 10%. B) 15%. C) 20%. D) 25%. I know that the answer is C but i want to know how to get itSEE MORE QUESTIONS