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A firm has this linear production function: Q = 5K + 2L. Each unit of labor costs $10 to employ and each unit of capital cost $8 to employ.The firm is currently employing 100 units of labor and 200 units of capital.
a. Calculate the total number of units of output that the firm is currently producingb. Calculate the current total cost of production for the firm. (Labor and capital are this firm's only costs.)c. Calculate the current average cost of producing each unit of output.
Now assume that intermediaries come from a competitive market with an equilibrium price of $8 per unit for their services, that is, any buyer or seller who wants an intermediary's services must pay $8 for them. What is the maximum per unit that se..
Suppose that Mensa Inc. is a representative firm operating in a perfectly competitive industry. Mensa's total cost of production, TC, is given by the equation TC = 5,000 +5q2, where q is Mensa's output. How much profit does Mensa make at that outpu..
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 ..
As a dentist you find that a person's annual demand curve for appointments are P=500-50Q. The marginal cost for your service is $50 There are three ways you could charge for your services -Charge $50 each time someone makes an appointment -Sell an an..
Suppose instead that you (the lender) have no information on the type of borrower and you have to charge a single interest rate to all borrowers. Also assume that the probability that you will end up with each type of borrower is equal (e.g. 1/3 ..
A manufacturer of off-road vehicles is considering the purchase of dual -axis inclinometers for instalation in a new line of tractors. The distributor of the inclinometers is temporarily overstocked and is offering them at a 40% discount from the ..
A $90,000 investment is made. Over a 5 year period, a return of $30,000 occures at the end of the first year. Each successive year yields a return that is 10 percent less than the previous year's return. If money is worth 5 percent.
If you install the system, your insurance carrier will reduce your annual premium each year for the 10 year useful life of the system. Your insurance premium is due at the beginning of the year and you expect to save $350 the first year.
Suppose there are n identical firms in a market. Each firm's cost function is given by C = 240+ 15q2, where q is the amount that an individual firm produces. This means that an individual firm's marginal cost is given by MC = 30q. Also, the marke..
The "graying of America" will substantially increase the fraction of the population that is retired in the decades to come. To illustrate the implications for U.S. living standards, suppose that over the 49 years following 2009 the share of the p..
Simple linear regression predicting the change in performance (in seconds taken to run a race) for 800m runners by the average hours of training undertaken per week during the pre-season.
Estimating equation through a correcting factor to correct heteroskedasticity may cause extra correlation to enter the model, which increase the R^2.
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