For the demand function x=D(p)=50-4p : (a) The elasticity is E(p)= (b) When p=5 , the elasticity E(5)= the demand is ---Select--- v (c) The price at which the total revenue is at a maximum is p=
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- Prove that price elasticity of demand is not the same as the slope of a demand curve.If the quantity of bread demanded rises 2 percent when the price of bread declines 10 percent, then the price elasticity of demand is a. 0.2. b. 1. c. 2. d. 10. e. cannot be determined.(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?
- (a). Find the elasticity of the demand function p + 4q = 80 at (10,40) (b) How will a price increase affect total revenue?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.The demand for wooden chairs can be modeled as D(p) = -0.01p + 4.25 million chairs where p is the price (in dollars) of a chair. (a) Find the point of unit elasticity. The point of elasticity occurs whenp = $ and D(p) = million chairs. (b) For what prices is demand elastic? For what prices is demand inelastic? Demand is inelastic for2x + 500 A garden shop determines the demand function q =| D(x) = during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant. 20x +9 (a) Find the elasticity. (b) Find the elasticity when x=3. (c) At $3 per plant, will a small increase in price cause the total revenue to increase or decrease? (a) The elasticity is. (b) When x = 3, the elasticity is| (Simplify your answer. Type an integer or a fraction) (c) Fill in the blank below. At $3 per plant, a small increase in price will cause the total revenue to4x+200 A garden shop determines the demand function q = D(x) = 30x+9 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant. (a) Find the elasticity. (b) Find the elasticity when x = 2. (c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease? (a) The elasticity isIn Problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand function pq = 81 at p = 3.4x + 500 10x +9 the number of plants sold per day when the price is x dollars per plant. A garden shop determines the demand function q = D(x) = (a) Find the elasticity. (b) Find the elasticity when x=3. (c) At $3 per plant, will a small increase in price cause the total revenue to increase or decrease? (a) The elasticity is during early summer for tomato plants where q is M IrConsider 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).(a) Show that for a demand function of the form (P) = r, where c and n are positive constants, the elasticity is constant. (Hint: Determine D'(p) and substitute into the formula for E(p).) (b) What type of demand function has elasticity equal to 1 for every value of p?SEE MORE QUESTIONSRecommended textbooks for youEconomics (MindTap Course List)EconomicsISBN:9781337617383Author:Roger A. ArnoldPublisher:Cengage LearningManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage LearningEconomics: Private and Public Choice (MindTap Cou…EconomicsISBN:9781305506725Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. MacphersonPublisher:Cengage LearningMicroeconomics: Private and Public Choice (MindTa…EconomicsISBN:9781305506893Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. MacphersonPublisher:Cengage LearningEconomics (MindTap Course List)EconomicsISBN:9781337617383Author:Roger A. ArnoldPublisher:Cengage LearningManagerial Economics: A Problem Solving ApproachEconomicsISBN:9781337106665Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike ShorPublisher:Cengage LearningEconomics: Private and Public Choice (MindTap Cou…EconomicsISBN:9781305506725Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. MacphersonPublisher:Cengage LearningMicroeconomics: Private and Public Choice (MindTa…EconomicsISBN:9781305506893Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. MacphersonPublisher:Cengage Learning