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Profits University produces student credit hours(y) with two inputs:Professors' hours of work(P) and TA's hours of work(T) according to the production function:f(P,T)=10P^(1/2)*T^(1/4). Both inputs are variable. Suppose professors are paid $80 per hour and TAs are paid $2.50 an hour. Profits receive $40 per credit hour. Cost minimization: a) What are the expressions for the marginal product of each of the two inputs in producing credit hours? b) What is the expression for the marginal rate of technical substitution of professors' hours by TA's hours? Interpret MRTS in words. c) Suppose that Profits needs to produce 2000 credit hours this quarter. What is the expression for the respective isoquant? Draw the isoquant. d) What is the minimum cost combination of inputs required to produce 200 credit hours? e) Show that given these input prices, the cost function for profits is C(Y)=120(Y/20)^(4/3)
Resort A and Resort B are two ski areas. On any randomly selected day during the ski season, the expected number of skiers purchasing lift tickets at Resort A is 6,000, with a standard deviation 2,000. The number of skiers purchasing lift tickets ..
assume that the interest rate on a one year bond is 7 percent today and the interest rates expected on one year bonds in the future are 6 percents in 1-year, 5 percent in 2-year , and 4 percent in three years bond. according to the exceptions theo..
Ethel and Fred have found their "dream house" and it has a purchase price of $250,000. Assume that they make a $50,000 down payment but must finance the remainder with a mortgage. They are presented with two mortgage options. Option 1 is a 30-year..
The price at point a is $70 and the price at point c is $10 per bag. The price at point d is $56 and the price at point e is $31 per bag. The price at point f is $67 and the price at point g is $32 per bag.
Suppose that the economy is thought to be 2% above potential (that is, the output gap is 2%) when potential output grows 4% per year. Suppose also that the Fed is following the Taylor rule, with an inflation rate of 2% over the past year.
Explain how the Federal Reserve policy makers effect interest rates. Describe the difference between expansionary and contractionary rules.
Charlie has the utility function U(xA, xB) = xAxB. His indifference curve passing through 35 apples and 18 bananas will also pass through the point where he consumes 10 apples and bananas.
A risky asset has two possible outcomes. Outcome 1 pays $20 with 20% probability, and outcome 2 pays $50 with 80% probability. What is the standard deviation of payoffs of this asset
A family wants to start an education account in 2010 (1st payment at year end 2010) by making equal annual payments in constant 2010 dollars until the time of the last tuition payment. Calculate the equal annual constant 2010 dollar payment.
What is the profit-maximizing number of sheep to own for the 10 farmers Q7. What is your optimal choice if the other 9 farmers choose to own 5 sheep Q8. What is your optimal choice if the other 9 farmers choose to own 6 sheep Q9. What is your opt..
A government agency has 6000 employees. As an alternative to the traditional five-day work week, employees were asked whether they preferred a four-day work week (10 hours per day) or flexible hours. The table below shows the results by age catego..
Suppose there are 100 firms in the economy. Let us call them firm 1, firm 2, ..., and firm 100. For firm j (j=1,2,...,100) the labor demand (or equivalently MPN) is Nj = 1 - 0.02w where w is the real wage. Note that labor demand function for the w..
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