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Suppose we have an economy with only one aggregate production function, given by:
Y = A(K + N^ 2/3 )
where Y is output, A is TFP, K is capital and N is labour.
Let A = 9 and suppose the supply of labour, N^ S , is given by N^ S = 8w/3 . Calculate the market-clearing real wage, w, and how many workers, N, would be employed in the economy.
Sara's income is $12 a week. The price of popcorn is $3 a bag, and the price of a cola is $3 a can. a. What is Sara's real income in terms of cola b. What is her real income in terms of popcorn
Suppose that individual demand for a product is given by QD = 8000 - 10P. Marginal revenue is MR = 800 - 0.2Q, and marginal cost is constant at $20. There are no fixed costs. The firm is considering a quantity discount. The first 300 units can be ..
Suppose the total benefit derived from a given decision, Q, is B(Q) = 25Q - Q^2 and the corresponding total cost is C(Q) = 5 + Q^2, so that MB(Q) = 25 -2Q and MC(Q) = 2Q. What level of Q maximizes net benefits
julie has preferences for food, f, and clothing, c described by a utility function u(f,c)+f*c. her marginal utilities are Muf=c and Muc=f. suppose that food cost $1 a unit and that clothing costs $2 a unit. julie has $12 to spend on food and cloth..
Suppose the price of labor is w=36 and price of capital is r=64. Graph the isoquant associated with 12 units of output, and on the same graph, graph the isocost line associate with producing 12 units of output when the firm minimizes the cost of p..
One of their new MBA financial wizards has estimated the following relationship for gold sales in the past year of trading (250 observations): Q = 4,000 - 0.01P + 1.5I - 1.25X + 2.0S R2 = .96 (857) (0.002) (0.65) (0.44) (0.48) where Q = daily sale..
MaxiFlow uses a few complex fabricated parts, but these have been found easy to assemble and test. On the other hand, Alaska uses many standard parts but has a complex assembly and testing process. MaxiFlow requires direct materials costs
Using the following equation for the demand for a good or service, calculate the price elasticity of demand,cross price elasticity with good x, and income elasticityt. Q= 8 - 2p + 0.10I + Px, Where Q is quantity demanded, p is the price, I is inco..
A perfectly competitive firm faces a market price of $10 for its output X. It owns two plants A and B whose total costs are: TCA = 10 + 2X + .25X2 TCB = 15 + .4X + .1X2 = 15 +4 + 10 How many units should each plant produce to maximize profit at that ..
A contractor purchases a piece of equipment for $26,000. The equipment requires an average expenditure of $9.25 per hour for fuel and maintenance, and the operator is paid $15.50 per hour to operate the machinery. Find the average cost function.
From the Keynesians, Y = C + I + G + NX can be transformed into a theoretical model. In particular, assume that the consumption C = A + mpc (Y-T), where A is a constant, mpc is the marginal propensity to consume, Y is national income
Suppose that \(X_{1},X_{2},....,X_{n} \) is an i.i.d. random sample, where \(X_{i}\) follows a normal distribution, with mean zero and unknown variance \(\sigma^{2}\) . Find the Maximum Likelihood Estimator of \(\sigm..
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