1. Given In Qda = 2.35 – 0.12 In Pa - 0. 25 ln Y +0.18 In Pb – 0.26 In Pc, (all in logarithmic %3D form), which of the following is correct? Note: Qda is the quantity demanded for product “a", Pa is the price of product "a", Pb is the price of product “b", Pc is the price of product "c" and Y is the income, In means natural logarithm. A. the demand for product "a" is price inelastic B. the demand for product "a" is price elastic C. a 1% increase in the Pa will cause a 0.12% decrease in the demand for product "a" D. A and C are correct E. B and C are correct
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- As a manager of a small software retailing company, you are concerned with projected profit next year. While profit can be determined as the difference between sales and maintenance cost, or in symbols, P = S - M, where P is profit, S is sales, and M is maintenance cost including technical support. It is argues that when sales goes up so does maintenance cost because the cost of technical support will go up. Further, it is measured that the correlation between S and M is 0.8. Now given the figure that sales next year is expected to be $300 thousand with standard deviation of $4 thousand and maintenance cost is expected to be $150 thousand with standard deviation of $6 thousand, what would be the expected profit and its standard deviation you will include in your report?AD has estimated the following demand relationship for its product over the last four years, using monthly observations: ln Qt = 4.932- 1.238 ln Pt + 1.524 ln Yt-1 + 0.4865lnQt-1(2.54) (1.38) (3.65) (2.87)R2= 0.8738where Q = sales in units, P = price in Rs., Y is income in Rs,000, and the numbers in brackets are t-statistics.a. Interpret the above model.b. Make a sales forecast if price is Rs. 9, income last month was Rs. 25,000 and sales last month were 2,981 units.c. Make a sales forecast for the following month if there is no change in price or income.d. If price is increased by 5 per cent in general terms, estimate the effect on sales, stating any assumptions.kad has estimated the following demand relationship for its product over the last four years, using monthly observations: ln qt = 4.932- 1.238 ln pt + 1.524 ln yt-1 + 0.4865ln qt-1 (2.54) (1.38) (3.65) (2.87) r 2= 0.8738 where q = sales in units, p = price in rs., y is income in rs,000, and the numbers in brackets are t-statistics. a. interpret the above model. b. make a sales forecast if price is rs. 9, income last month was rs. 25,000 and sales last month were 2,981 units. c. make a sales forecast for the following month if there is no change in price or income. d. if price is increased by 5 per cent in general terms, estimate the effect on sales, stating any assumptions.
- The demand function for good X is ln Qdx= a + b ln Px + c ln M + e, where Px is the price of good X and M is income. Least squares regression reveals that â = 7.42, b ˆ = −2.18, and ĉ = 0.34. a. If M = 55,000 and Px = 4.39, compute the own price elasticity of demand based on these estimates. Determine whether demand is elastic or inelastic. b. If M = 55,000 and Px = 4.39, compute the income elasticity of demand based on these estimates. Determine whether X is a normal or inferior good.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 implicit assumption regarding the population in the market?A change in consumer demographics will cause the demand curve to change to Qd=90-3P. If the supply curve remains the same (Qs=P-10) graphically draw these two curves, labeling all relevant points on the thorizontal and vertical axes.
- A firm keeps a record of sales and prices over the past seven months, resulting in the following table: Price (ZMW/ton) Sales (tons) Nov. 1985 7.5 84.5 Dec. 8.0 82.0 Jan. 1986 8.0 84.0 Feb. 7.2 92.0 March 7.0 95.0 April 8.0 92.0 May 8.5 91.5 Use these observations to estimate demand as a linear function of both price and time. Further, utilise this function to estimate demand for the following month, on the assumption that: (a) price remains unchanged, (b) price increases to ZMW9/ton. Hence estimate the price elasticity of demand between these prices and find the price which would maximise sales revenue. Given the nature of the observations, comment on any difficulties in interpreting your results for decision-making purposes.The demand function for apples is the following. Qn = 10 – Pn + 0.2Y +0.5 Pc – 2Ps + 0.2A Where: Qn = annual sales of apples (millions of kilos) Pn = price of apples (£1 per kilo) Y = disposable income in the UK £trillions (£10 trillions) Pc = price of a pies £ per kilo (£2 per kilo) Ps = price of pear (£2 per kilo) A = advertising measured in hundreds of thousands of £5 (use as 5 in your calculations) What is the own price elasticity of demand and what kind of product apple is? a. -1/9, inelastic. b. 1/9, inelastic. c. -2, inelastic. d. -0.5, elastic. e. All the other answers are wrong.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.
- Assume that driving skill, S, varies throughout the population. Automobile insurers classify drivers into two categories: “Good” and “Bad”. Good drivers are those people who have driving skills above a threshold level of driving skill, S*. Bad drivers, on the other hand, have driving skills that fall below the threshold level, S*. Good drivers pay lower rates than Bad drivers. Additionally, assume that it’s common knowledge that Welsh are more skillful drivers than Scots, such that a higher proportion of the Welsh population has driving skills above S* than the Scottish population. Also assume that there is a law that prohibits insurers from learning a person’s driving skill. Suppose that drivers can decide to use a new device that will send credible real time driving data to their insurance company (e.g., speed, stopping distance, driving times, etc.) that allows insurers to correctly classify a driver as having skill greater than or less than S*. Which group would be most likely to…Assume that driving skill, S, varies throughout the population. Automobile insurers classify drivers into two categories: “Good” and “Bad”. Good drivers are those people who have driving skills above a threshold level of driving skill, S*. Bad drivers, on the other hand, have driving skills that fall below the threshold level, S*. Good drivers pay lower rates than Bad drivers. Additionally, assume that it’s common knowledge that Welsh are more skillful drivers than Scots, such that a higher proportion of the Welsh population has driving skills above S* than the Scottish population. Also assume that there is a law that prohibits insurers from learning a person’s driving skill. Suppose that drivers can decide to use a new device that will send credible real time driving data to their insurance company (e.g., speed, stopping distance, driving times, etc.) that allows insurers to correctly classify a driver as having skill greater than or less than S*. Who is most likely to employ these…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. 1110