Suppose the market supply curve is given by: Q=2P-4 and market demand by: 21-1. a) What is the value of Q when the market is equilibrium? Enter a number. b) P as a function of Q, i.e. find the inverse demand function. Your answer should be an algebraic expression in terms of Q without any decimals. Use a capital Q for Q and do not write "P=""; just enter an expression in terms of Q. P= The variables found in your answer should be: [Q] c) Find the value of the consumer surplus when the market is equilibrium. Enter an algebraic expression, such as 3*In(4)-In(2)-8, rather than a decimal.
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- 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…The demand function for potatoes per month is given by Q = 104 – 40p + 20pt + 0.01Y, where Q = the quantity of potatoes, p = price of potatoes, pt = price of tomatoes, and Y = income per month. Pt is currently $0.80 per pound). Derive the demand curve for potatoes from the data provided when income is $4,000 per month. Derive the new demand curve when income increases to $5,000 per month. ON a graph show the change in the demand curve resulting from the growth in income.Input either "increase" or "decrease" where relevant: A decrease in the price of a complementary good will cause its complement’s equilibrium price to ...... and the equilibrium quantity to .....
- You are the manager of a firm and you are required to optimize the Cobb-Douglas function given the following parameters. The maximum amount of money available to spend is $340 where the price of K=8 and the price of L=4. That is Pk=8 and Pl=4. The function is given as q=K0.4L0.6 . What are the optimal values K0 and L0 ? a. None of the above b. K0≈68,L0≈34 c. K0≈72,L0≈18 d. K0≈34,L0≈68Demand functions are usually assumed to be linear in the competitive market model because: The marginal utility of consumption is assumed to be decreasing. Supply functions are assumed to be convex. O Utility is usually linear in money. It makes the models easier to use. Returns to scale must be constant in competitive markets. No answer.The Constant Elasticity of Substitution (CES) production function is a flexible way to de- scribe how a firm combines capital and labor to produce output, allowing for different levels of substitutability between the two inputs. The elasticity of substitution, denoted by σ, measures how easily the firm can substitute capital for labor (or vice versa) while maintaining the same output level. The parameter p is related to the elasticity of substi- tution by the formula σ = 1/(1 - p). Now, let's consider a firm that operates for two periods (t and t + 1) and produces output according to the CES production function: F(KN)=[αK² +(1−a]N₁°]¹/º, 0Given the following Market Model: nP = m-X (Demand Function for commodity X')wP = e+ X (Supply Function for commodity 'X)(Where n,m,e, w > 0)Find out changes in equilibrium price when intercept of demand function and slope of supply functionchange. Draw suitable diagrams?A Firm's Optimization with CES Production Function The Constant Elasticity of Substitution (CES) production function is a flexible way to describe how a firm combines capital and labor to produce output, allowing for different levels of substitutability between the two inputs. The elasticity of substitution, denoted by σ, measures how easily the firm can substitute capital for labor (or vice versa) while maintaining the same output level. The parameter p is related to the elasticity of substitution by the formula σ = 1/(1 - p). Now, let's consider a firm that operates for two periods (t and t + 1) and produces output according to the CES production function: F(Kt, Nt) = [aK{ + (1 − a)N]¹º 0Suppose a firm uses a single input to produce a single output according to a production function f(x) = 10√x where x is the number of units of input. The output initially sells for £120 per unit. The input costs £20 per unit. A change in the market causes the product price to increase from £120 per unit to £200 per unit, all else equal. How does this change in product price affect the firm's profit maximizing level of profits? a. Profits increase by £16,000 Ob. Profits do not change Profits increase by £8,000 d. None of the other answers is correct Profits increase by £9,000 f. Profits increase by £18,000 g. Profits increase by £50,000 h. Profits increase by £32,000 C. e.Assume quantities need not be integers. Demand in a competitive market is Qd(P)=120 – (4/10)*P. If 20 units are transacted, what is the lowest marginal benefit (i.e., MWTP) at which an item is purchased? Round to two decimal places and do not enter a currency symbol. If your answer is $1.125, enter 1.13.Given the input-output matrix below, find the output matrix if final demand changes to 600 for water, 130 for electric power, and 700 for agriculture. The output matrix is x = (Round to two decimal places as needed.) Given the input-output matrix below, find the output matrix if final demand changes to 600 for water, 130 for electric power, and 700 for agriculture. Industry Electric Water Power Agriculture Final Demand Water 160 300 200 Industry: Electric Power 80 120 300 Agriculture 240 60 200 Other 320 120 300 22201 400 The output matrix is X= (Round to two decimal places as needed.)Could someone explain the easy way to find the partial derivative in these problems? Suppose the demand equation is: Q = 120 - 0.75p. What is the price elasticity of demand if the price is $60 per unit and output is 75 units? The price elasticity of demand is (Enter a numeric response using a real number rounded to two decimal places.)SEE MORE QUESTIONSRecommended textbooks for youPrinciples of Economics (12th Edition)EconomicsISBN:9780134078779Author:Karl E. Case, Ray C. Fair, Sharon E. OsterPublisher:PEARSONEngineering Economy (17th Edition)EconomicsISBN:9780134870069Author:William G. Sullivan, Elin M. Wicks, C. Patrick KoellingPublisher:PEARSONPrinciples of Economics (MindTap Course List)EconomicsISBN:9781305585126Author:N. 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