ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- II 12 16. Elasticity of a Linear Demand Curve Suppose that the market demand for widgets is linear: QD = a - bP a. Derive a formula for the point elasticity of demand as a function of price (P). ED b. Find a simple expression for ED at each of the following points (label points in diagram): P = a/b (vertical intercept) %D P = 3a/4b %3D P = a/2b (midpoint) %3D %3D P = a/4b ED = %3D (horizontal intercept) ED =arrow_forward3) You make a lightweight compact foldable windbreaker. Your brand, Desert Wind Jackets, is well established in the Southwest. In a drive to broaden your appeal and open new markets, you have rebranded under the simple logo DWJ. The strength of your brand, loved by your customers in the Southwest, means you have a price elasticity on demand of -2.76. Market research indicates that in the Upper West, where there is some knowledge of your brand, the price elasticity of demand is -3.50. In New England, where you are least known, it is estimated that the price elasticity of demand will be quite high, -5.76. Your marginal cost per jacket is $198.33. (ROUND TO THE NEAREST WHOLE DOLLAR) a) What price will you charge in your southwestern region? b) What price will you charge in your upper-western region? c) What price will you charge in your New England region?arrow_forwardThe inverse demand curve facing a resort hotel is during the low season and PL = 100-Q₁ PH = 350 – QH during the high season. The resort's marginal cost is $50 per night in cleaning costs for the room and general maintenance and administration. The resort only has 75 rooms. What is the resort's profit- maximizing peak-load pricing strategy? Illustrate the solution in a diagram. 1.) Using the point drawing tool, indicate the profit-maximizing price during the low season. Label this point 'e' 2.) Using the point drawing tool, indicate the profit-maximizing price during the high season. Label this point 'eH Carefully follow the instructions above, and only draw the required objects. p. $ per night 69 400- 350- 300- 250- 200- a 150- 100- 50- 0- 0 MR D MRH 50 100 150 200 250 300 Q, Rooms per night MG DH 350 400 Q ONarrow_forward
- 10) The proprietor of the Shaw Music Mania Store calculates the demand equation for a certain brand of CDs to be q = -50p + 2000 , where p is the price it charges per disc and q is the number of discs sold in a day. Determine the maximum total annual revenue and the price at which the max revenue occurs.arrow_forward3. Consider the Smith family who have the following demand for rental housing (q, measured in square feet): q=0.5*(y/p), where y is the Smith family income and p is the price of housing per square foot. The Smith's income is $4000 per month and initially the price of housing is $2 per square foot per month. a. If the Smiths are operating on their demand curve, how much housing are they consuming? b. How much is the Smith family's monthly rent? How much does the Smith family spend on other consumption? c. Starting from the initial equilibrium, the government now grants the Smiths a proportional rent subsidy with B=0.5. How much housing does the Smith family purchase given the subsidy? d. What is the gross market rent per month paid by the Smith family? What is the net rent (after deducting the subsidy) paid by the Smith family? How much does the Smith family spend on other consumption in its new equilibrium? e. What is total dollar outlay of the government for the Smith's housing…arrow_forwardSuppose Nationwide increases the insurance premium they charge for their auto policies by 8 percent. In response, the demand for State Farm auto policies in a small town increases from 6,000 to 6,900. What is the cross-price elasticity of demand for State Farm auto policies in this town? Using the midpoint formula, the cross-price elasticity of demand for State Farm auto policies (Enter your response rounded to three decimal places) In this instance, auto insurance from Nationwide and auto insurance from State Farm arearrow_forward
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- An analyst for FoodMax estimates that the demand for its “Brand X" potato chips is given by: InQx = 10.34 – 3.2 In Px+ 4Py+ 1.5 In Ax where Qx and Px are the respective quantity and price of a four-ounce bag of Brand X potato chips, Pyis the price of a six-ounce bag sold by its only competitor, and Ax is FoodMax's level of advertising on brand X potato chips. Last year, FoodMax sold 5 million bags of Brand X chips and spent $0.25 million on advertising. Its plant lease is $2.5 million (this annual contract includes utilities) and its depreciation charge for capital equipment was $2.5 million; payments to employees (all of whom earn annual salaries) were $0.5 million. The only other costs associated with manufacturing and distributing Brand X chips are the costs of raw potatoes, peanut oil, and bags; last year FoodMax spent $2.5 million on these items, which were purchased in competitive input markets. Based on this information, what is the profit-maximizing price for a bag of Brand X…arrow_forwardYou are working trying to estimate the proper price to charge a market for the firm that sells beer in Lancaster Pennsylvania. They estimated that the demand curve for the market is Quantity demanded=20-2P. The firm currently prices the good at 8 dollars. They want to move the price to 6 dollars in a attempt to increase profits. 1) What is the elasticity for this move in price (Use the midpoint method for elasticity) make sure you show your work? 2) Now you are contacted by a different branch of this company that is in a lower priced (Scranton P.A.) market with the same demand curve. They want to move the price from 2 to 5 dollars. What is the elasticity of this change (Use the midpoint method)? 3) Now suppose you find out that there is a similar product that impacts the Quantity demanded for a product. The relationship is Qd=15+Pb. Now suppose the price (Pb) of the other good is 5 and goes to 6. What is the Cross-price elasticity of the good?arrow_forwardThere are several close substitutes for Bayer aspirin but fewer substitutes for a complete medical examination. Therefore, all other things equal, you would expect the demand for: O Bayer aspirin to be more perfectly price-inelastic. the two to be equally price-elastic. Bayer aspirin to be more price-elastic than is the demand for medical examinations. O medical examinations to be more price-elastic than is the demand for Bayer aspirin.arrow_forward
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