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For each of the following utility functions, find the marginal utilities (MUx and MUy) and the marginal rate of substitutional between x and y (MRSxy) and explain whether MRSxy is diminishing or not.
a) u(x,y) = x1/2y
b) u(x,y) = x1/3y2/3
c) u(x,y) = x2+3y-2
Suppose that every driver faces 1% probability of an automobile accident every year. An accident will, on average, cost each driver $10,000. Suppose there are two types of individuals: those with $60,000 in the bank and those with $5,000 in the ba..
The government is considering two alternative types of taxes. The first is a tax on interest income, the second is a tax on labour income. Both are to be imposed at rate t (i.e., t=.20, or 20%). Your job is to help the government understand the im..
Given the following Demand and Supply functions answer questions a thru d. Qd=120-2P+5I Qs=-10+4P-3W where P=$3 is the price of the good. I=$100 per capital consumer income W= $50 wage rate a. Derive the demand and supply curves (qd and qs).
A lump-sum loan of $5,000 is needed by Chandra to pay for college expenses. She has obtained small consumer loans with 12% interest per year in the past to help pay for college. But her father has advised Chandra to apply for a PLUS student loan c..
Given the following production function with two inputs, Capital (K) and Labor (L), whose input prices are $1 each. Suppose the company needed to produce 50 units. What would be the cost minimizing combination of capital and labor needed
Suppose annual salaries for sales associates from a particular store have a mean of $32,500 and a standard deviation of $2,500. Calculate and interpret the z-score for a sales associate who makes $36000. Suppose that the distribution of annual sa..
An investment of $18,000 is expected to generate annual revenue of $8,000 throughout life of the investment. The risk is based the life of the investment. The estimate of probabilities for the duration of the investment is given in the table below..
In Fairbanks, the Alyeska pipeline service Co. purchased 160 acre homestead from pioneer for $1000 an acre and 250,000 for the cabin and garage. A cabin and garage were preserved as an historical property for an additional $80,000 and moved off-si..
A study of costs of electricity generation for a sample of 56 British firms in the 1946-1947 yielded the following long-run cost function: AVC = 1.24 +.0033Q + .0000029Q2 - .000046QZ - .026Z + .00018Z2 Where AVC = average variable cost (i.e., work..
Consider the following model of a closed economy (Smallville): MPC = 0.8 - 0.01Y (marginal propensity to consume) C = MPC x YD (consumption function) YD = (Y - T) (disposable income)
Bank North advertises, "We pay 6.5%, compounded daily." Bank South advertises, "We pay 6.5%, compounded continuously." If you deposit $10,000 with Bank South for one year, how much additional interest will you receive
a) Just to provide the 2.7 billion "severely" poor population with $1 more output per day b) To raise the incomes of the world's "severely poor" population (income less than $2 per day) to the official threshold of U.S. poverty (roughly $5,000 per..
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