Assume that X=375, M-500, I-800 and C-1,000 +0.8Yd, G-1200, and T- 800, where Yd is disposable income. Solve for the equilibrium level of output.
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- Calculate the Lagrange multiplier of the cost minimization problem with a CobbDouglas production function, and show that it is equal to the derivative of the cost function with respect to output (the marginal cost).solve and show steps, pleasePlz solve in 1/2 hour it's urgent The market for bananas has the following demand and supply functions Qd= 8 – 3P + Y Qs = 4 + P + 0.5W Where Q is quantity, P is price, Y is income and W is an index of weather. Assume that production is negatively affected by a cyclone. Generate a new supply function accounting for the cyclone shock and assess the effects of poor seasonal conditions on the market outcomes P, Q and revenue.
- Suppose the households in a hypothetical economy has the following consumption function C = 1200+ 0.85Y, d Where Y is the disposable income. The government in this economy imposes a tax d rate of 0 < t < 1 to households' income (ex. A t = 0.10 means that 10% of households' income goes to tax payments).Suppose the initial budget constraint is: p₁x₁ + P2x2 = m. Then, a new government imposes an ad valorem sales tax on all goods, at a rate of 5%. What is the new budget constraint? 1.5 p1x1 + 1.5 p2x2 = m 105 p1x1 + 105 p2x2 = m P1x1 + P2X2 = 1.05 m 1.05 p₁x₁ +1.05 p2x2 = m O P1X1 + P2X2 = mGiven a linear supply function of the form QXs = 3,000 + 3PX - 2Pr - Pw, and assuming Pr = $1,000, Pw = $100, and PX=50, the PS is: (use commas: 30,000 instead of 30000)
- Constrained Optimization using Lagrange Multiplier: Cost MinimizationA clothing company produces two goods namely pants (P) and sweaters (S) whose combined cost function is C = 6P2 + 10S2 − PS + 30.In a day, the clothing company is limited by a production quota of 34 units of output only. Inequation form: P + S = 341. State the cost minimization problem of the clothing company.2. Set-up the Lagrange equation and determine the quantity of pants (P) and sweaters (S) that the firm should produce daily to minimize cost.3. What is the effect on cost if the company decides to increase the production quota by 1 more unit?Please use excel to find the solution. More this question is from the concept of Lagrange multiplier from inventory and warehouse, to find the budget and space constraints.For a income determination model Y = C +I + G, C = Co + bY d, I = Io + aYd, Yd = Y – T, T = To +tY, G = Go, 0 < a, b, t < 1, find the equilibrium level of income. Find the multipliers for each input.
- Consider the allocation of a fixed, renewable supply of surface water in a given year between two competing users: municipal and industrial users (M) and agricultural users (A). The demand for water by M-users is MBM = 250 – QM and the marginal extraction cost is MXCM = 50. The demand for water by A-users is MBM = 170 – 0.5*QM and the marginal extraction cost is MXCM = 20. S is the annual supply of surface water is the basin. Assuming that there is no water scarcity in the basing (i.e., S > S’), what is the efficient level of water use for M- and A-users?QUESTION 2 Think the two-period model for coals. Suppose a demand schedule is P = 80 - 0.5Q and a supply schedule is MC = 10 + 0.5Q, for a two-period model. Period 1 is current time and period 2 is future, a year later. Annual discount rate is 20%. The supply of coals is limited to 100 units. The dynamically efficient quantities for period 1 and 2 are Q₁= and Q2= respectively. The dynamically efficient prices for period 1 and 2 are P₁ = and P2= respectively. Hint: Round the numbers to two decimal places.QUESTION 22 Suppose again that a market demand schedule for a resource is P = 200 - 4Q and the market supply schedule is P = denoted as t=1. The marginal user cost (MUC) is negative at the intertemporal (i.e., dynamic) equilibrium when r= 0.10. Is it true or false? 80 + 2Q. There are two periods only, current period, denoted as t=0, and second, True False QUESTION 2 Suppose once again that a market demand schedule for a resource is P = 200 - 4Q and the market supply schedule is P = second, denoted as t=1. What is the Total User Cost (TUC) at the intertemporal equilibrium when r = 0.10? 80 + 2Q. There are two periods only, current period, denoted as t-0, and O A. TUC = $120.0 %3D O B. TUC = $74.83 OC. TUC = $28.50 O D. TUC = $0.00 %3D %3D