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Assume a comsume with the utility funcitonU = U(x,y) = X2Y2
and the typcial budget constraint
M = PxX + PyY
a. Set up the constrained maximization problem and derive the first-order conditions.
b. Derive the consumer's demand for X and Y in terms of parameters.
c. Derive the own-prices of elasticiites of demand. Do the demands obey the law of demand?
Calculate fixed and variable costs of cleaning 0, 3, 8, and 12 rooms and the average total cost and marginal cost at 3, 8, and 13 rooms and enter them in the table (You can cut and paste the table Quantity of output None 3/ 3rd rooms 8/8th rooms 1..
At the end of their useful lives, both A and B may be purchased with the same cost, benefits, and so forth. If the MARR is 12%, which alternative should be selected based on the internal rate of return using the least common multiple approach.
If the newer equipment is purchased, it will have end-of-year O&M costs of $8,000 and a salvage value of $20,000 at that time. If the old equipment is retained, it will have to be supplemented in years 3, 4, and 5 by leasing a hi-def add-on unit c..
A small pipeline will cost less to purchase (including valves and other appurtenances) but will have a high head loss and, therefore, a higher pumping cost.
suppose that firm 2 acts as a price leader and can commit in advance to setting its price once and for all. In turn, firm 1 will react to firm 2 s price, according to the profit-maximizing response found earlier, P1=52.5+.25P2. In committing to a ..
It is estimated that US tobacco settlement betwwen major tobacco companies and 46 states caused the price of cigs to jump by 45 cents per pack (21 per cent) and overall per capita cig consumption to fall by 8.3 per cent. What is the elasticity of ..
Jim's utility function is U(x, y) = xy. Jerry's utility function is U(x, y) = 1,000xy + 2,000. Tammy's utility function is U(x, y) = xy(1 - xy). Oral's utility function is U(x,y)= -1/(10+2xy).Marjoe's utility function is U(x, y) = x(y + 1,000). Pa..
(c) What is the variable cost of producing 40 units of output (d) How many units of the variable input should be used to maximize profits (e) What are your maximum profits (f) Over what range of variable input usage do increasing marginal returns exi..
Suppose that last year, the nominal exchange rate between the Japanese yen and the British pound was ¥225.0 per £1.0, one unit of Japanese output cost ¥2000, and one unit of British output cost £8.0. What was the real exchange rate between the U.K.
Wishwell Tile Corporation uses the number of construction permits issued to help estimate demand. The company collected the following information on yearly sales and number of construction permits issued in its market area:
Ethanol can be produced from either sugar or corn. A gallon of ethanol cost 90¢ to produce from Brazilian sugarcane and $1 to produce from U.S.corn. The U.S. Department of Agriculture expects 20 percent of the corn harvest to be used to produce et..
What is the probability that the interval [Z-1, Z+1] contains the value 0? e.) What is the probability that the interval [Z-1, Z+1] contains the value 2? f.) What is the probability that the interval [Z-1, Z+3] contains the value 2? g.) What is the p..
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