Microeconomics
2nd Edition
ISBN: 9780073375854
Author: B. Douglas Bernheim, Michael Whinston
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Question
Chapter 2, Problem 3CP
To determine
Derive the formula for calculating elasticity of demand.
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For each demand function, find an expression for the price elasticity of demand. 1.D(p) = 6 – 3p 2.D(p) = (p + 2)-1 What is the price elasticity evaluated at p = 2? At that price, is demand elastic, unit elastic, or inelastic?.
A demand function is given by the equation Q = 112 – 3P.
Suppose the price is P = 15.
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Assume that in Country A, the average annual income of a typical person is $180,000. Annual consumption of black caviar is estimated at 4.5 kilos. The income elasticity of demand for black caviar is 1.25. What would average annual income have to be for consumption of black caviar to rise to 7.5 kilos?
Use the midpoint method in your calculations.
Chapter 2 Solutions
Microeconomics
Ch. 2 - Prob. 1DQCh. 2 - Prob. 2DQCh. 2 - Prob. 3DQCh. 2 - Prob. 4DQCh. 2 - Prob. 1PCh. 2 - Prob. 2PCh. 2 - Prob. 3PCh. 2 - Prob. 4PCh. 2 - Prob. 5PCh. 2 - Prob. 6P
Ch. 2 - Prob. 7PCh. 2 - Prob. 8PCh. 2 - Suppose the demand function for jelly beans in...Ch. 2 - Prob. 10PCh. 2 - Prob. 11PCh. 2 - Suppose the annual demand function for the Honda...Ch. 2 - Prob. 13PCh. 2 - The demand function for a product is Qd = 100 ...Ch. 2 - Prob. 2CPCh. 2 - Prob. 3CPCh. 2 - Prob. 4CPCh. 2 - Suppose that the demand function for jelly beans...
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- Using the following equation for the demand for a good or service, calculate the price elasticity of demand (using the point form), cross-price elasticity with good x and income elasticity. Q=82P+0.10I+Px Q is quantity demanded, P is the product price. P1 is the price of a related good, and I is income. Assume that P= $10, I = 100, and Px = 20.arrow_forwardSuppose a movie theater raises the price of popcorn 10 percent, but customers do not buy any less popcorn. What does this tell you about the price elasticity of demand? What will happen to total revenue as a result of the price increase?arrow_forwardProve that price elasticity of demand is not the same as the slope of a demand curve.arrow_forward
- (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?arrow_forwardDemand for Magnum Ice Cream is given by an equation as Q = 70 – 10P + 4 Px + 50 I Where, Q = Quantity of Magnum demanded, P = Price of Magnum Ice Cream, Px = Price of Walls Ice Cream, I = Per Capita Incomea. Assume P = Rs 100, Px = Rs 120 and I = Rs 25 (Rs in thousands). Calculate (i) Price Elasticity of Demand(ii) Cross Price Elasticity of Demand(iii) Income Elasticity of Demandarrow_forwardAssume that the price cross elasticity of demand for muffins with respect to the price of coffee is (negative) - 0.7. d. What does this tell you about the relationship between muffins and coffee when the price of coffee increases by 10%? What will happen to the demand for both muffins and coffee?arrow_forward
- Suppose that your demand schedule for pizza is as follows: Price (Dollars) 8 10 12 14 16 Quantity of Pizzas Demanded (Income = $20,000) 40 32 24 16 8 Quantity of Pizzas Demanded (Income = $24,000) 50 45 30 20 12 Using the midpoint method, your price elasticity of demand as the price of pizzas increases from $8 to $10 is if your income is $24,000. If the price of a pizza is $12, your income elasticity of demand is pizza is $16, your income elasticity is if your income is $20,000 and as your income increases from $20,000 to $24,000. However, if the price of a Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forwardA: 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?arrow_forwardFor each demand function, find an expression for the price elasticity of demand. 1. D(p)=60−p2. D(p) = 40p^−23. D(p)=(p+2)^−1arrow_forward
- The demand function for leather laptop cases is Qd =100 − P1+0.75 P2+.0075 I . P1= price of leather cases , P2= price of carboncases, I = income. Where P1=10 , P2=20 , I =10,000 Compute for the cross price elasticity. What does your answer imply about the relationship between leather and carbon cases. Compute for the income elasticity of demand. What kind of good is leather laptop cases based from your answer.arrow_forwardThe demand function for a new espresso drink at a popular coffee shop is given by 1/2 x = 0.4(81 – p )"2 where x is the quantity of drinks demanded every hour and p is the unit price in dollars per drink. (a) Evaluate the price elasticity of demand at 8 dollars per drink. Elasticity: (b) Complete the sentence: Because demand is ? the unit price should be ? the current $8 per drink in order to increase revenue. (c) At what price is the demand of unitary elasticity? dollarsarrow_forward
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