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Several alternative projects involving water supply system are under consideration by the Public Utility Board. The collected data have been summarized as follows (in 1,000s):Alternatives A B C D EFirst Cost $2,000 $100 $700 $1,200 $400Annual Operating Cost $70 $4 $60 $100 $30Annual Recreation Benefits $150 $0 $55 $170 $25Annual Agricultural Benefits $200 $30 $50 $160 $90
All costs are given in thousands of dollars and negligible salvage values are assumed at the end of a 50-year life. Using a social interest rate of 8% in the Benefit/Cost analysis, determine which project(s) should be selected if the alternatives are mutually exclusive?
A new gear grinding machine for composite materials has a first cost of P=$100,000 and can be used for a maximum of 3 years. Its salvage value is estimated by the relation S=P(0.85)n, where n is the number of years after purchase. The operating co..
The director of a nonprofit foundation that sponsors 8-week summer institutes for graduate students analyzed the costs and expected revenues for the next summer institute and recommended that the session be canceled. In her analysis she included a..
find the Hicks-compensated demand function of the following utility function: u(x1,x2) = x1.x2 + x1 I have found Marshall demand function, but I doubt how I find the Hicks-compensated. Is there anyone who can help me with that?
Assuming that the demand is D(P) = 100 - 2P. The regulator chooses average cost pricing. Compute how many firms can efficiently serve the market and the total amount Q produced. (Hint: It suffices to compute the price at the efficient production l..
Find (all) the partial derivatives (e.g. ?u/?x and ?u/?y) of the following functions: 1. Q(p,I) = 300 - 3p - 4I 2. u(x,y) = 10xy 3. u(x,y) = ax? y? 4. z = (x+y)2 5. z = 2x3-11x2y +3y2
Alvin's utility function is U(W) = W. Barry's utility function is U(W) = W^2. Carl's utility function is U (W )= sqrt(W) . Each has wealth of only $100. An investment of that $100 has a 10% chance of netting $1,000 and a 90% chance of netting a lo..
Let a firm's long-run production function be Q= 1/10LK +3L^2K-1/10L^3K Assume that in the short-run the firm's labour input is fixed at 10 units. a) What is the firm's short-run production function? b) What are the short-run average and marginal prod..
Government consumption in our model is simply a "waste", that is it does not affect anyone's utility or affect the production process. Use the Pareto Optimality framework. For each of them, solve the social planner's problem and show the equations..
Helen just bought a house for $250,000. Earthquake insurance, which would pay $250,000 in the event of a major earthquake, is available for $25,000. Helen estimates that the probability of a major earthquake in the coming year is 10 percent, and t..
There are two firms that engage with a Cournot competition with the inverse demand curve given by P=1000-5Q. Suppose the two firms have constant marginal costs $5 and $10. a). Write down the profit function for each firmb). Firm 2 produces 10 units, ..
Kyle is an English PhD student; there is some chance he will get a prestigious university job that will pay him $80,000/year (probability p). If he does not get this job, he will have to take a job at Starbuck's, paying $25,000/year (probability (..
What is the cost of producing q output in the short-run? d. What is the marginal cost of producing a 301s unit? A 401st unit? If you are comfortable doing so, you may answer this question by writing down the marginal cost function directly, rather..
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