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A parabola may be defined as the set of all points equidistant from a fixed point called the focus and a fixed line called the directrix.
(a) Suppose the focus is located at (0, p) and the directrix has the equation y = -p, determine the equation of this parabola.
(b) Suppose the focus is located at (0, -p) and the directrix has the equation y = p, determine the equation of this parabola.
A market contains a group of identical price-taking firms. Each firm has a marginal cost curve MC(Q) = 2Q, where Q is the annual output of each firm. A study reveals that each firm will produce if the price exceeds $20 per unit and will shut down.
it would open new horizons for entrepreneurship; and, most important, it would help to clean up domestic politics." Separate and identify the arguments for free trade in this statement.
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..
Term structure information can also be found in other places on the web. Is the term structure upward sloping, downward sloping, or flat? Why do you think this would be?
What do you think? How would these considerations affect the exchange rate and output effects of fiscal policy? Do you see any parallels with this chapter's discussion of the longer-run impact of current account imbalances?
You would like to estimate the effect of police size on city-level crime on a cross-section of cities. Does the estimated 0 coefficient mean that police size has no effect on crime? What assumptions should a valid IV satisfy in this case
Suppose that government imposes same rate of unit tax (tax on consumer) to both labor. Show the changes in both markets.
1calculate the annual total fixed costs for a combine that has an initial price of 300000 a useful life of 7 years a
Currently at a price of $1.00 each 100 popcicles are sold per day in the perpetually hot town of Rostin. Consider the elasticity of supply. In the short run a price increase from $1 to $2 is a unit -elastic (Es =1.0)
Assume the graph below represents the market demand for a patented prescription drug together with the long run marginal cost and average cost functions for producing the drug. (note: the diagram assumes that at output levels over 50 million.
The following utility function represents the preferences of agent i over two goods x1 and x2: ui(x1,x2) = 3√x1 + x2 a)Solve the optimal choice problem for agent i if p1 = p2 = 1; and I=15
the balnce sheet of a bank. the reserve requirment is 3% on the first 30 million of transactions deposits and 10% on transactions deposits in excess of 30 million. the bak holds no required clearinf balances. Bank balance sheet(amount in millions)
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