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An oil refinery converts crude oil to gasoline. It takes one barrel of crude oil to produce one barrel of gasoline. Total cost of producing q barrels of gasoline at the refinery is
TC=1/2q2 + wq
where w is the price of a gallon of crude oil
1) Express the marginal cost of producing gasoline as a function of q and w.
2) Suppose the refinery can purchase 50 barrels of oil for $5 per barrel, but must pay $15 per barrel for any barrels it buys beyond 50 barrels. What is the marginal cost of producing a quantity of gasoline of less than or equal to 50 barrels? What is the MC of producing a quantity of gasoline of more than 50 barrels?
3) Suppose the demand for gasoline facing the refinerey is perfectly elastic at $30 per barrel. How much will the firm supply?
The licensing restrictions allow each company to sell as much as it wants at a price ceiling of $2,200. You have the following output and MC data for each company: Output MC ($) Q Abba Babba Cabba 1,000 2,500 2,600 2,700 2,000 2,400 2,300 2,500 3,..
Going back to the demand curve in part (a), suppose the current market price for an orange is $5, what happens to the demand curve for oranges if the price goes to $7 per orange That is, does the demand curve shift or is there a movement along the..
Assume that Y = real GDP. Then from the expenditure approach, Y = C I G NX. On p. 306 Exhibit 14.10 of the textbook, all C, I, G, and NX are the non-price determinants of AD. Suppose we use C, I, G, and NX as indicators during business cycles, the..
provide a 50 percent tuition reduction for those graduating in the top 10 percent of their high school class, 33 percent reduction for those in the top 20 percent, and 25 percent reduction for those who finish in the top 30 percent.
(a) If the price of x1 is 2, the price of x2 is 1, and Max's income is 10, how much x1 will Max consume How much x2 (b) Suppose that Max's income level is 10. Derive Max's demand function for x1. Is x2 a substitute of x1 or a complement of it
Ajax, Inc. is a monopolist. The estimated demand function for its product is Qd = 120 - 0.8P + 12Y + 4A Where Qd denotes quantity demanded, P denotes price, Y denotes personal income (in thousands of dollars), and A denotes advertising expenditures
David Christopher is an orthopedic surgeon who specializes in three types of surgery hip, knee, and ankle replacements. the surgery mix is 40 percent hip replacement, 50 percent knee replacement, and 10 percent ankle replacement.
If you invest $10,000 in this certificate at the beginning of year one and do not add or withdraw any money for five years what is the value of the certificate at the end of the fifth year.
2. Find the marginal utility of good x2 3. Calculate the Marginal Rate of Substitution between good x2 and good x1: MRSx2,x1 = (du(·)/dx2)/(du(·)/dx1) 4. Equate this marginal rate of substitution to the ratio of prices : (Px2)/(Px1)
The parents of a young child decide to make equal annual payments into a savingsaccount, with the first payment being made on the child's fifth birthday and the last payment being made on the fifteenth birthday. Then a rotal of four withdrawals of..
Explain how each of the following is a form of price discrimination:a. a student discount at the movie theater b. long-distance phone service that costs 15 cents per minute for the first 10 minutes and 5 cents per minute after 10 minutesc.
Consider how unemployment would affect the Solow growth model. Suppose that output is produced according to the production function Y = K^a(1-U)L^1-a , where K is capital, L is the labor force, and u is the natural rate of unemployment.
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