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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)
Knockoff Inc. produces what it regards as a low-quality digital camera. However, because the market is so new, reputations for quality have not yet developed, and consumers cannot tell the quality difference between an Ajax digital and a Knockoff ..
Assume that you have a normal distribution with mean =0 and variance =1. Assumee you control a likelihood test for mu =.07 and another likelihood test for mu =8.
Explain how the Federal Reserve policy makers effect interest rates. Describe the difference between expansionary and contractionary rules.
where a > 1. In addition assume that the firms target own profit maximization, compete (simultaneously) in quantities and have marginal costs equal to c1 = c2 = c. Assume that 1 > c > or equal to 0. Describing the necessary mathematical steps, and..
The constant per unit price of M is $30; the constant per unit price of T is $20; and Bharat has $300 to spend on these activities. If the price of M rises to $35, what is the appropriate compensating variation.
Determine the economic activity that takes place in Underground Economy have any impact upon any Economic Indicator.
Newton exports all their products outside the city and Garfield only sells their products within the city. Newton experiences growth, so it hires 100 more workers, all of whom come to reside in city A.
Consider the following information for a typical investment project with a service life of five years: n A B 0 -1,000 -1,000 1 200 -900 2 490 -500 3 550 0 4 -100 -100 5 200 90 What interest rate is used in the project-balance calculation
The demand for good X is given by: Qdx= 1,200-1/2Px+1/4Py-8Pz+1/10M Research shows that the prices of related goods are give by Py=$5,900 and Pz=$90, while the average income of individuals consuming this product is M=$55,000.
Government consumption in our model is simply a "waste", that is it does not affect anyone's utility or affect the production process. Use the Pareto Optimality framework. For each of them, solve the social planner's problem and show the equations..
A firm hires labor in a perfectly competitive labor market. Its current profit-maximizing hourly output is 100 units, which the firm sells at a price of $5 per unit. The marginal physical product of the last unit of labor employed is 5 units per h..
Kyle is an English PhD student; there is some chance he will get a prestigious university job that will pay him $80,000/year (probability p). If he does not get this job, he will have to take a job at Starbuck's, paying $25,000/year (probability (..
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