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- Variables typically included in a multivariate demand function (other than the price and quantity of the item the demand function represents) are consumer tastes and preferences, the number of buyers, spendable (disposable) income, prices of substitute goods, prices of complementary goods, advertising expenditures, weather, and expectations. Recalling that the price of the item being considered is placed on the vertical axis, and the quantity on the horizontal axis, the other variables are termed demand shifters. Please answer the following questions about the affect changes in other variables might have on the demand for the item. These changes will either cause demand to increase (shift right) or decrease (shift left). Use either word as applicable, for the short answer. If the price of a good increases because the demand for it increases, What would you expect the demand for its complement to do? If the demand for coffee beans increases, then what is likely to happen…Suppose you have been hired by a research firm trying to understand the market for Widgets (a hypothetical product). Your analysis of the data indicates that the Demand curve for Widgets is estimated to be linear and given by equation Qd = 150 – 3P and the Supply curve for Widgets appears to be linear as well and is estimated as Qs = 2P – 20. Graphically draw these two curves, labeling all relevant points (such as intercepts for each line) on the horizontal and vertical axes.Find the Slope of an Assumed linear demand curve for the Caesarean section, when 1000 Caesarean sections are performed at Ghs 200.00 per section and 500 at Ghs150.00 per section.
- Let 10p + x = 100 be the demand equation, where p is the price per item when x items are demanded. (a) Find the total revenue when the level of production is: (i) 40; (ii) 41; (b) Find the exact revenue derived from the 41st item. (c) Find the approximate revenue derived from the 41st item. (d) What is the error if the derivative is used to approximate the marginal revenue?Sarah is considering two investment proposals. Proposal A is to purchase a new computer. Proposal B is to purchase a new printer. She will not buy the printer unless she buys the computer. The relationship between Proposals A and B is best described by which of the following? a. B and A are mutually exclusive b. B is contingent on A c. A is contingent on B d. Not enough information is given to determine a relationshipIf the average rural household income in Nigeria is US$60 then the demand for internetconnectivity, ceteris paribus, at US$43 is more likely to be...
- Bounds Inc. determined through regression analysis that its sales (S) are a function of the amount of advertising (measured in units) in two different media. This relationship is given by the following equation (X = newspapers, Y = magazines): S (X, Y) = 200X+100Y− 10X2− 20Y2 + 20XY Find the level of newspaper and magazine advertising that maximizes the firm’s sales. Calculate the firm’s sales at the optimal values of newspaper and magazine advertising determined in part (a).A firm has production function F(K, L) = 1/4 (K1/2 + L1/2) . The wage rate is w = 1 and the rental rate of capital is r = 3. (a) How much capital and labor should the firm employ to produce y units of output? (b) Hence find the cost of producing y units of output (the firm’s cost function). (c) Differentiate the cost function to find the marginal cost, and verify that it is equal to the value of the Lagrange multiplierSuppose the relationship between your study time and your grade on a History midterm is given by the following table:If you study for Your grade will be4 hours 805 hours 906 hours 93What is the "marginal grade improvement (MGI)" of the 5th hour of studying? What is the "marginal grade improvement (MGI)" of the 6th hour of studying? Why might the MGI be diminishing?
- Q.No.3. (a) What is the input use level for total value product maximization for the following function? y = x1 + 0.1x12 - 0.05x13 + x2 + 0.1x22 - 0.05x23 Q.No.3. (b) Briefly make a comparison between output maximization criteria and profit maximization criteria with respect to necessary and sufficient conditions?After an analysis of a large number of small businesses with two to nine employees, it was determined that, in a certain market sector, the operating costs C, in thousands of dollars, could be modeled by the function(pic#2)...., where p is the number of employees working for the firm. On the other hand, the realized revenue, R, of a firm could be determined as a function of the operating costs C, where R=(pic#1)... R and C are expressed in thousands of dollars. a) Based on the analysis, what would be the operating costs for a business with three employees? b) What would be the revenue for a company with three employees? c) Determine the equation that would model the realized revenue, R, as a function of the number of employees.Variables typically included in a multivariate supply function (other than the price and quantity of the item the supply function represents) are prices of other goods that use similar input resources for production, the number of suppliers, techniques of production, taxes and subsidies, prices of input resources, weather, and expectations. Please answer the following questions about the affect changes in other variables might have on the supply of the item. These changes will either cause supply to increase (shift right) or decrease (shift left). Use either word as applicable, for the short answer. 1. If the market price of gasoline returns to the near $4.00 per gallon level then demand for gas-gulping large autos is likely to decrease and manufacturers of these autos are likely to _____________ their supply: 2. A relative increase in the productivity of the technology used to produce the item being considered is likely to _____________________ its supply. 3. Hailstorms have pelted…