The following function relates price to quantity demanded: price = 100 - 3q And note that when price = 10, q = 30. Given an initial price level of 10, compute the elasticity of demand assuming a 2 unit increase in price (e.g. as price increases from p-10 to p=12) using the formula, 92-9 %Aqd an % Apd Pa Pa Pa Where (Pdl-9d1) represents the initial price and quantity and (Pd2, 942) represents the new price and quantity. Select the answer that most closely approximates the elasticity. -1115 O 3.5 -3.7
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- Suppose household annual demand for gasoline follows the equation QD = 2000 – 500P + 25I where P is the price of a gallon of gasoline and I is household income in 1000s of dollars. Suppose that P = 3 and I = 60. What quantity of gasoline will households demand at this price and income level? __________ What is the income elasticity of demand for gasoline at this price, income, and quantity level? __________ What happens to the income elasticity of gasoline demand if I rises from 60 to 100? It _____________ (rises/falls) to ______________. Does this change in elasticity make gasoline buying more or less sensitive to income changes? __________An analyst for FoodMax estimates that the demand for its Brand X potato chips is given by ln QdX = 12.14 – 2.8 ln PX + 3.4PY + 0.7 ln AX, where Qx and PX are the respective quantity and price of a four-ounce bag of Brand X potato chips, PY is 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 7 million bags of Brand X chips and spent $0.42 million on advertising. Its plant lease is $2.1 million (this annual contract includes utilities) and its depreciation charge for capital equipment was $2.8 million; payments to employees (all of whom earn annual salaries) were $0.8 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 $2.8 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…The REDY Company produces a specialty cement used in the construction of roads. REDY is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. The manager of REDY obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M…
- Demand and Supply model In the notes and lessons, we saw that quantity demanded and quantity supplied may be related by the recurrence relations Pn+1-Pn =α (Dn - Pn), Dn+1-Dn =β (Pn - Dn), where Pn is the level production after n time intervals, Dn is the quantity demanded by the consumer and α and β are proportionality constants. Suppose α=β=k. Which of the following gives the best description of the behaviour of the quantity demanded and level of production when k=2? A. The level of production oscillates with a decreasing amplitude. The quantity demanded also oscillates with a decreasing amplitude. The level of production and quantity demanded diverge from each other as the number time steps n goes to infinity. B. The level of production oscillates with a decreasing amplitude. The quantity demanded also oscillates with a decreasing amplitude. The level of production and quantity demanded reach equilibrium as the number time steps n goes to infinity. C. The level of…Demand and supply in a market are described by the equation: Qd=66-3P Qs=-4+2P Solvealgebraically to find equilibrium price and quantity.) It is an established fact in economics that for goods which are described as inferior goods, when incomes of consumers increase, consumers tend to reduce their consumption of such goods and rather patronize goods which would normally provide higher satisfaction .Suppose in Ghana, gari is seen as an inferior good and incomes of low income earners rise substantially as result of the introduction of a new incomes policy. If a researcher decides to undertake a study to verify the general preposition that as incomes rise, the consumption of inferior goods falls. 1.which type of economic study and what analysis is this? Justify your answer.
- Given: The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC…Potential health benefits of eating organic versus non-organic food have been often discussed in mass media. Though the scientific evidence of such benefits remains inconclusive, many consumers would consider switching to organic food; however, it is priced considerably higher. It can be projected that if the overall price level of organic foods goes down substantially, the demand for non-organic foods will decrease. True FalseSuppose that News Corp., which controls the United States’ largest satellite-to-TV broadcaster, is contemplating launching a Spaceway satellite that could provide highspeed Internet service. Prior to launching the Spaceway satellite, suppose that News Corp. used least squares to estimate the regression line of demand for satellite Internet services. The best-fitting results indicate that demand is Qsatd = 152.5 − .8Psat + 1.2PDSL + .5Pcable (in thousands), where Psat is the price of satellite Internet service, PDSLis the price of DSL Internet service, and Pcable is the price of high-speed cable Internet service. Suppose that after the FCC’s ruling the price of DSL, PDSL, is $25 per month and the monthly price of high-speed cable Internet, Pcable, is $50. Furthermore, News Corp. has identified that its monthly revenues need to be at least $15 million to cover its monthly costs. If News Corp. set its monthly subscription price for satellite Internet service at $55, would its revenue be…
- The demand equation for a firm’s product has been estimated as Ln Qx = 7.3 – 2 Ln Px + 0.5 Ln I + 0.25 Ln Py - 1.5 Ln Pz, where Qx represents unit sales of brand X, Px is the price of brand X, I is per-capita income, Py is the price of brand Y, and Pz is the price of brand Z. (A)Write this demand equation in its multiplicative form. (B) What is the price elasticity of demand for brand X? is demand price elastic or inelastic? (C)What is the income elasticity of demand for brand X? What type of good is brand X?The demand equation for a firm’s product has been estimated as Ln Qx = 7.3 – 2 Ln Px + 0.5 Ln I + 0.25 Ln Py - 1.5 Ln Pz, where Qx represents unit sales of brand X, Px is the price of brand X, I is per-capita income, Py is the price of brand Y, and Pz is the price of brand Z. (A)Write this demand equation in its multiplicative form. (B) What is the price elasticity of demand for brand X? is demand price elastic or inelastic? (C)What is the income elasticity of demand for brand X? What type of good is brand X? (D)What is the cross-price elasticity of demand for brand X in relation to the price of brand Y? What is the relationship between brand X and brand Y? (E) What is the cross-price elasticity of demand for brand X in relation to the price of brand Z? What is the relationship between brand X and brand Z? (F) What effect will an increase in Px by 10% have on the firm’s total revenues? (G)What is the total effect will an increase in Px by 10%, a decrease in I…Q3. D= f (PX) is a general form of demand function, does not explain the nature andmagnitude of the relationship between dependent and independent variable? How will youexplain bivariate and multivariate demand functions with reference to price, income, price ofrelated goods (substitute goods) in specific linear and non-linear form of demand function?