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A decision maker wishe to minimize the cost of producing a given level of total benefit, B = 288. The cost function is C = 6x + 3y and the total benefit is B = xy. Set up the Lagrangian adn then determine the levels of x and y at the minimum level of cost. What is the minimu value of cost?
Calculate the total effect on welfare of a tariff of 5 per unit levied on imports. Calculate the total effect of a production subsidy of 5 per unit. Why does the production subsidy produce a greater gain in welfare than the tariff? What would the opt..
Plot the level and first difference of lnrgdpaus and briefly comment on the graphs and obtain the sample correlograms of the level and first difference of lnrgdpaus for 20 lags. What do they suggest to you?
Suppose that the Acme Gumball Company has a fixed proportions production function that requires it to use two gumball presses and one worker to produce 1000 gumballs per hour. The cost function is TC = q(2v+w), where q is the output of gumballs per..
Jane invested $ 9,000 in a high yield bank account. At the end of 15 years she closed the account and received $299,000. Compute the effective interest rate per year she received on the account if the interest was compounded yearly.
A telephone distribution company is considering building a new automated switching equipment substation with a useful life of 20 years. The company uses a 14% MARR to assess capital investment projects. Estimated real dollar costs and benefits
Suppose that two firms compete in quantities (Cournot) in a market in which demand is described by P = 260 - 2Q. Each firm incurs no fixed costs but has a constant marginal cost of 20. Suppose that after the cartel is established, one firm decides ..
Test the null hypothesis that the population variance is equal to 93 against the alternative that the population variance is greater than 93. Use alpha = 0.05. A random sample of 100 with a mean of 60 and a standard deviation.
Two companies, Company A and Company B, are deciding whether each should implement a new pricing strategy, which may or may not result in a price war. If both companies reduce (discount) their current prices, each company will end up with $175K in ..
Country A and country B have identical population growth rates of 1% per annum, and everyone in each country always works 40 hours a week. Labor productivity grows at a rate of 2% in country A and at a rate of 2.5% in country B.
A needed service can be bought for $550 per unit. The same service can be provided by equipment that costs $225,000, has a salvage value of $75,000 at the end of 10 years and costs $21,500 annually plus $35 per unit to operate. a. What is the incr..
Suppose that the local gym has a marginal and average cost of 10 per visit. Calculate the profits associated with the following combinations of annual fee (T) and per visit fee (P), and determine which scheme generates the highest profit.
Jethro has been promised a payment of $1000, which is to be paid exactly 8 years from now. He is completely certain that the payment will in fact be made. Jethro believes that the appropriate discount rate is 5% per year, and that this will contin..
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