Suppose that consumer has the following utility function: U(X,Y) = XY and Px = 1, Py = 4 and I = 720. Suppose now that Px goes up to 4. What is the magnitude of the income effect on good X? %3D %3D
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- No written by hand solution 4.7 An estimate of the demand function for household furniture produced the following results: F=0.0036 Y1.35R0.19P(−0.37) r2=0.996 where F = furniture expenditures per household Y = disposable personal income per household R = value of private residential construction per household P = ratio of the furniture price index to the consumer price index The point price elasticity for household furniture is -0.37 or -1.95 or 1.35 or 7.11 and the income elasticity is -0.37 or -1.95 or 1.35 or 7.11 . According to the estimated model, a 10 percent increase in the value of private residential construction per household Increase or decrease the quantity demanded by 1.4 or 1.9 or 5.1 percent.(Q1) Many software companies, after years of providing unlimited free telephone technical support for their products, began to charge for these services (typically after an initial start-up period of 90 days). Most companies offer two pricing plans. For instance, Lotus Development offers users of their spreadsheet software the option of paying either (i) $2.00 per minute for telephone support or (ii) a $129 flat charge for a year of unlimited toll-free calls. Question 1: Consider a customer with a yearly (expected) demand for service support of P = 11 – 0.1Q, where P is the price per minute and Q is the number of minutes of calls made per year. How many calls would this customer make under plan (i)? Why? How many calls would he or she make under plan (ii)? What would be the annual cost to this customer under each plan? Explain your answer. Question 2: Which plan would this customer choose? Explain your answer.You plan to purchase a car for $28,000. Its market value will decrease by 20% per year. You have determined that the IRS-allowed mileage reimbursement rate for business travel is about right for fuel and maintenance at $0.505 per mile in the 1st year. You anticipate that it will go up at a rate of 10% each year, with the price of oil rising, influencing gasoline, oils, greases, tires, and so on. You normally drive 15,000 miles per year. Your MARR is 9%.
- Manning Inc. is the leading manufacturer of garage doors. Demand for residential garage doors depends, of course, on the rate at which new houses are being built, which in turn depends on changes in income per capita. During the past year, Manning sold 10 000 garage doors at an average price of R1 500 per door. In the coming year, disposable income per capita is expected to increase from R32 000 to R34 000. Without any price change, Manning expects current-year sales to rise to 12 000 units. 1. Calculate the arc income elasticity of demand. 2. The company economist estimates that in conjunction with the change in income, if the price of doors is increased by R100, they could sell 11 500 doors. What is the arc price elasticity and what would be the company’s revenue? 3. Should they raise the price even more?For a certain commodity the demand equation is given by Demand = −30p + 1000. At a price of $5, 600 units of this commodity are supplied. (a) If the supply equation is linear and the market price is $10, find the supply equation. (b)If the price of this commodity increases by $3 per unit, what effect will this have on the supply and demand of the commodity?Consider the following demand and supply function of product ZT: Qd = 25 - 1.25 P Qs = -9 + 3 P Note: Determine the equilibrium point first to answer the following question. 7. How much is the change in the price for the consumer, when additional sales tax is 0.85 per unit? Use a number, 2 decimal values, no commas, no space, no signs. * 8. How much is the buying price when sales tax is imposed? Use a number, 2 decimal values, no commas, no space, no signs. *
- Consider the market for a bond which has a face value of $2,000, pays a coupon of $100, and matures in 1 year (that is, you will get the face value and one coupon payment next year). Suppose the demand for such bonds is given by P=4,000-2Q, and that the supply of such bonds is given by P=1,000+Q. What is the equilibrium price and quantity of bonds sold? P*=$1,000, Q*=2,000 P*=$1,000, Q*=1,000 P*=$2,000, Q*=1,000 P*=$2,000, Q*=2,000Consider the general supply function: Qs=60+5p-12Pl+10F Where Qs = quantity supplied, p = price of the commodity, pl = price of a key input in the production process, and F = number of firms producing the commodity. 1. Interpret the slope parameters on p, pl, ane F. 2. Derive the equation for the supply function when pI = $90 and F = 20. 3. Sketch the graph of the supply function in part b. At what price does the supply curve intersect the price axis? Give an interpretation of the price intercept of this supply curve. 4. Using the supply function from part b, calculate the quantity supplied when the price of the commodity is $300 and $500.A ski resort in the White Mountains has conducted market and cost studies, and has determined that the demand and supply for ski-lift tickets at their resort are represented by: Qd=1750 - 5P - 8PR + 2PB; Qs=50 + 20P - 3PE. In these equations, P represents the price of a full-day lift ticket, in dollars per ticket; PR is the price of a ski-rental package; PB is the price of a pint of beer at the local pub in the nearby town; and PE is the price per megawatt hour for the electricity used to run the chair lifts on the ski slopes. Based on the equations above, determine whether the beer in the local pub is a substitute or complement to skiing. Briefly explain your answer. Suppose the price of a ski-rental package is $20, the price of a pint of beer is $5, and the price of electricity is $150 per megawatt hour. Calculate equilibrium price and quantity of ski-lift tickets. Now consider the more general relationship between the price of lift tickets and the price of ski-rental packages.…
- After a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the current output level Q? a. 1030 b. 1100 c. 610 d. 1110Suppose we alocate a foxed supply of a depletable resource between two periods in a dynamically efficient way. Assume further that the demand function is constant in the two periods and the marginal willingness to pay is given by the formula P= 7-0.46q while the marginal cost is constant at $1 per unit. The total supply ls 18 units and the discount rate is 2%. What is the marginal user cost during the first period?Suppose we allocate a fixed supply of a depletable resource between two periods in a dynamically efficient way. Assume further that the demand function is constant in the two periods and the marginal willingness to pay is given by the formula P = 8 - 0.34q while the marginal cost is constant at $2 per unit. The total supply is 20 units and the discount rate is 1%. What is the marginal user cost during the first period?