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Consider the following technology F(K,L) = (AK^?)(L^(1??)) where K is the level of capital, L is the level of labor or hours worked, A is a efficiency parameter and ? (0, 1)
(a) Write down the firms problem in the long-run. Note the price for capital and labor are respectively, r and w. (Normalize the price of output to be 1 so that w and r are in real terms).
(b) Does this production function depict constant return to scale? Prove it.
(c) What are the marginal productivities of capital and labor? Are they decreasing in each factor?
(d) What is the labor share and capital share of output?
Plant B was constructed 2 months ago; it has a pollution abatement cost of 10c2. Assume that neither plant is initially engaging in pollution abatement. The per unit benefit to a unit of pollution abatement is constant at $1500. Unless told otherw..
Night Timers is a small company manufacturing glow-in-the-dark products. One of the hottest items the engineering department has developed is adhesive tape that can be applied to walls and floors. Night Timers chief engineer anticipates that the p..
The projects start to pay off in year 1 and continue to pay off all years thereafter. Interest is paid in perpetuity, in year 1 and every year thereafter. In addition, assume that if the projects are not done, then GDP=Q=C=$200 in all years, so th..
Starting with the estimated demand function for Chevrolet: Qc = 100,000 - 100Pc + 2000N + 50I + 30Pf - 1000Pg +3A + 40,000Pi. Assume the average value of the independent variables changes to N= 225 million, I= 12,000, Pf= 10,000, Pg= 100 cents, A=..
A producer produces good y using a single input x according to the production function y=x^a where 0
Recall from introductory economics that an raise of $1 in government spending may raise GDP through more than $1. The exact value by which GDP goes up is multiplier.
In 2012, the box industry was perfectly competitive. The lowest point on the long-run average cost curve of each of the identical box producers was $4, and this minimum point occurred at an output of 1,000 boxes per month. The market demand curve..
A loan of $20000 is to be financed to assist a person's colllege education. Based upon monthly compounding for 48 months, the end-of-the-month equal payment is quoted as $520. What nominal interest rate is being charged
what will happen to equilibrium quantity od peanut butter traded in the market after the 30% increase in the price of peanut butter? stay the same, increase, decrease, or not enough information to tell what will be the expected change in the quant..
Howard Bowen is a large cotton farmer. The land and machinery he owns has a current market value of $4,000,000. Bowen owes his local bank $3,000,000. Last year Bowen sold $5,000,000 worth of cotton. His variable operating costs were $4,500,000 and..
The cost of pollution (in billions of dollars) originating in the paper industry is Cp = 2P + P2. Where P is the quantity of pollutants emitted (in thousands of tons). The cost of pollution control (in billions of dollars) for this industry is Cc ..
the operation and maintatenance expenses 450 per year additionally , the hourly fuel expense for running the turbine is 7.5 dollar per hour and the turbine expected to operate 3000 hours eaach year . the cost of dismantling and disposing the turbi..
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