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The production function of a competitive firm is described by the equation \(y = 8x_{1}^{1/2}x_{2}^{1/2}\) The factor prices are p1 = $1 and p2 = $4 and the firm can hire as much of either factor it wants at these prices.
a) What are the firm's cost minimizing levels of each input to produce y units of output?
b) Find the Cost function and the Marginal Cost function of the firm.
Candidate A is running for president of the student government at a large university. The proportion of voters who favor the candidate is 0.8. A simple random sample of 100 voters is taken. a. What are the expected value, standard deviation, and sh..
You are the manager of a company that vaccinates human beings for biological diseases. Your company uses two inputs to produce vaccinations: physicians and laboratories. However, this is a short-run analysis where physicians are variable but labor..
On a diagram, draw the marginal cost curves for the two factories, the average and marginal revenue curves, and the total marginal cost curve (i.e., the marginal cost of producing Q = Q1 + Q2). Indicate the profit-maximizing output for each factor..
there are 51 market participants: 25 of them are producers, where producer i can produce at most one unit of a good at cost i $; 25 of them are consumers, where consumer j is willing to buy at most 1 unit of the good for at most j $; the 51st mark..
You are considering opening a new business to sell golf clubs. You estimate that your manufacturing equipment will cost $100,000, facility updates will cost $250,000, and on average it will cost you $80 (in labor and material) to produce a club.
Suppose that an investor purchases 100 shares of IBM stock at a price of 100 dollars on december 31, 2004. During the year 2005, IBM paid dividends of 2$ per share, and at the end of the year, the investor stold the stock at a price of $115.
If the regulators of LWE want to make sure that there is no deadweight loss in this market, what price will they force LWE to charge? What will output be in that case. Calculate consumer surplus and LWE's profit with that price.
Now suppose the firm has the chance to buy an unlimited number of engines from another company at a price of $1,400 per engine. Will this option affect the number of cycles it plans to produce Its price Will the firm continue to produce engines ..
Austin Utilities is planning to install solar panels to provide some of the electricity for its groundwater desalting plant. The project would be done in two phases. The first phase will cost $4 million in year 1 and $5million in year 2.
A Man is planning to retire in 20 years. He can deposit money for his retirement at 6% compounded monthly. It is estimated that the future general inflation rate will be 5% compounded annually. What deposit must be made each month..
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 sellerwho wants an intermediaries services must pay $8 for them.
The price that consumers are willing and able to pay for this outputis $40 per unit. If it priduces this output, the firms average total cost is $43 per unit, and its average fixed cost is $8 per unit.
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