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Assume a firm wants to minimize its cost of producing y amount using x1 and x2 as inputs, which means it wants to minimize w1x1 + w2x2 subject to x1^(1/2)x2^(1/2)= y:
(a) Using Lagrange multiplier method, find optimal x1 and x2 as functions of w1,w2 and y.
(b) What is the marginal cost of producing a higher level of y?
(c) What is the marginal cost of an increase in w1?
Company Y is a monopoly industry. Its contribution margin is estimated at 20% (P-MC)/P = 0.2). From past experience, the owner has determined the following relationship exists between expenditures on advertising and total sales
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Tamara received $500,000 from an insurance company. She wants to to deposit this in a savings account that earns interest at a rate of 6% compounded monthly. Then she would like to make 60 equal monthly withdraws over five years.
Tom can produce 40 balls per hour or 4 bats per hour. Tessa can produce 80 balls per hour or 4 bats per hour. a. calculate Tom's opportunity cost of producing a ball. b. calculate Tessa's opportunity cost of producing a ball.
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Suppose that a monopolist is selling in two distinct markets each sheltered from the other, and the marginal revenue of each product is given below and the marginal cost of each is the same as indicated. How much of each good will the firm produce..
Calculate a 5-year weighted moving average to forecast the number of mergers for 2012. Use weights of 0.10, 0.15, 0.20, 0.25, and 0.30, with the most recent year weighted being the largest. Use regression analysis to forecast the number of mergers..
The diesel-powered generator with a cost of $60,000 is expected to have a useful operating life of 50,000 hours. The expected salvage value of the generator is $8,000. In its first year, the generator was operated for 5,000 hours.
The Following table shows the regression coefficient (B) and the t-statistics (T) for the variables influencing business traveler demand for hotel rooms (including hotel prices and attributes) from the study Business Traveler Demand for Hotel Rooms
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