6. The Valve Corporation, a software entertainment company, recently ran a holiday sale on its popular Steam software program. Using data collected from the sale, it is possible to estimate the demand corresponding to various discounts in the price of the software. Assuming that the original price was $40, the demand for the software can be estimated by the function 1= 3,751,000p-2826, where p is the price and q is the demand. Calculate and interpret the elasticity of demand. p dq q dp E = -
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- For each of the determinants of demand in Equation 2.1, identify an example illustrating the effect on the demand for hybrid gasoline-electric vehicles such as the Toyota Prius. Then do the same for each of the determinants of supply in Equation 2.2. In each instance, would equilibrium market price increase or decrease? Consider substitutes such as plug-in hybrids, the Nissan Leaf and Chevy Volt, and complements such as gasoline and lithium ion laptop computer batteries.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 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?
- 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 following estimates have been obtained for the market demand for cereal In Q= 9.01- 0.68 In P+0.75In A-1.3M, where Q is the quantity of cereal,P is the price of cereal,A is the level of adverstising, and M is income. Based on this information,determine the effect on the consumption of cereal of : a: A 5 percent reduction in the price of cereal. b: A 4 percent increase in income. c: A 20 percent reduction in cereal advertising.Consider the demand function d(p)=300e^−0.01p^2 items purchased when charging p dollars per item. Currently the price is 9 dollars per item. Use marginal analysis to estimate the decrease in demand when the price increases by 0.3 dollars per item. Demand would decrease by approximately _____ items. Round your answer to three decimal places.
- Smooth Sailing, Inc., has estimated the demand function for its sailboats (quantity purchased annually) as follows: QD= 89,830-40PS+20Px+15Py+2I+0.001A+10W Where, QD = quantity purchased, PS = the price of smooth sailing sailboats, PX = the price of Company X’s sailboat, PY = the price of Company Y’s motorboat, I = per capita income in dollars, A = dollars spent on advertising, and W = number of favorable days of weather in the southern region of the United States. Suppose that PS = $9,000, PX = $9,500, PY = $10,000, I = $15,000, A = $170,000, and W = 160. Find the price elasticity of demand at that point. Is elastic, inelastic, or unitary elastic in part (a)? Justify?Please no written by hand solution Instead of assuming a linear demand curve, suppose we assume that demand is char- acterized by the following demand function qD = 13.572P −1.5 (a) Suppose the current price is $5. What is the price elasticity of demand at this price? (b) Over what range of prices is demand elastic? Inelastic? Unit elastic?Ll.47. Market demand is given as Qd = 750 – 2P. Market supply is given as Qs = 3P - 15. What is the point elasticity of demand at the equilibrium price, and if the firm could change its price, would the firm increase or decrease the price in order to increase total revenue? a. 5.80, the firm will decrease the price b. 0.69, the firm will decrease the price c. 0.69, the firm will increase the price d. 5.80, the
- 4) An economic consultant for MCM corporation recently provided the firm’s marketing manager with this estimate of the demand function for the firm’s product: Qxd = 12,000 − 3Px + 4Py − 1M + 2Ax where Qxd represents the amount consumed of good X, Px is the price of good X, Py is the price of good Y, M is income, and Ax represents the amount of advertising spent on good X. Suppose good X sells for K200 per unit, good Y sells for K15 per unit, the company utilizes 2,000 units of advertising, and consumer income is K10,000. 4 (i) How much of good X do consumers purchase? 4 (ii) Are goods X and Y substitutes or complements? 4 (iii) Is good X a normal or an inferior good?Questions 1-17 refer to below statement and demand and supply functions. Suppose that demand and supply curves for avocado in Brooklyn are as the followings: Qd = 144 − 24P Qs = -36 + 12P where Qd and Qs are quantities demanded and supplied in tons respectively, and P is the price of avocado in dollars per kg? 1) If price elasticity of demand for avocado at price P* is equal to -2/3, how much is P*? a) $2.00 b) $2.20 c) $2.40 d) $2.60 e) $2.80 2) What is quantity demanded at price P* at which price elasticity of demand for avocado equals -2/3? a) 82.2 tons b) 83.2 tons c) 84.4 tons d) 85.2 tons e) 86.4 tons 3) If price elasticity of supply for avocado at price P* is equal to 2.5, how much is P*? a) $2 b) $3 c) $4 d) $5 e) $6 4) What is quantity supplied at price P* at which price elasticity of supply for avocado equals 2.5? a) 6 tons b) 12 tons c) 18 tons d) 24 tons e) 30 tons 5) What is market clearing equilibrium price and quantity in Brooklyn avocado market? a) $3; 20…Johnson's Household Products has a division that produces two types of toothpaste: a regular toothpaste and a whitening tooth paste. The demand equations that relate the prices, p and q (in dollars per thousand units), to the quantities demanded weekly, x and y (in units of a thousand), of the regular toothpaste and the whitening toothpaste are given by p=3000-20 x-10 yp=3000−20x−10y and q=4000-10 x-30 yq=4000−10x−30y respectively. The fixed cost attributed to the division is $20,000/week, and the cost for producing 1000 tubes of regular and 1000 tubes of whitening toothpaste is$400 and $500, respectively. a. What is the weekly total revenue function R(x, y)? b. What is the weekly total cost function C(x, y)? c. What is the weekly profit function P(x, y)? d. How many tubes of regular and whitening toothpaste should be produced weekly to maximize the division's profit? What is the maximum weekly profit?