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1. A firm can manufacture a product according to production function
a. Calculate the average product of labour, APL,when the level of capital is fixed at 16 units and the firm uses 16 units of labour. How does the average product of labour change when the firm uses 81 units of labour?
b. Find an expression for the marginal product of labour, MPL, when the amount of capital is fixed at 16 units. Then, illustrate that the marginal product of labour depends on the amount of labour hired by calculating the marginal product of labour for 16 and 81 units of labour.
c. Suppose capital is fixed at 16 units. If the firm can sell its output at a price of $100 per unit and can hire labor at $25 per unit, how many units of labor should the firm hire in order to maximize profits?
Suppose nominal GDP in 2005 was $15 trillion, and in 2006 it was $16 trillion. The general price index in 2005 was 100, and in 2006 it was 103. Between 2005 and 2006, real GDP rose by what percent
The current market wage rate is $10, the rental rate of land is $1,000 per unit, and the rental rate of capital is $500. Production managers at a firm find that under their current allocation of factors of production, the marginal revenue product ..
An economy is operating with output $400 billion below its natural rate, and fiscal policymakers want to close this recessionary gap. The central bank agrees to adjust the money supply to hold the interest rate constant
Consider the production function f(L;K) = L + K. a. Suppose K is ?xed at 2. Find algebraic expressions for the total product of labor function TP(L), the average product of labor AP(L), and the marginal product of labor MP(L).
Suppose the market for semiconductors in the U.S. is characterized by: Qd = 200 – 40P [Demand] Qs = 40+ 40P [Supply] The market for semiconductors in the rest of the world is characterized by: Qd = 160 – 40P [Demand] Qs = 80 + 40P [Supply] Suppose th..
You are the manager of a monopoly. A typical customer's inverse demand function for your firm's product is p=250-4Q and your cost function is C(Q)=10Q. Determine the optimal two part pricing strategy. Per Unit fee Fixed FeeHow much addtional profit..
When the more current observations are more relevant to estimate of next period than previous observations, the naive forecasting method to employ is
Suppose that the weights αm from the input to hidden layer are nearly zero. Show that the resulting model is nearly linear in the inputs.
What is the role of the people in the Texas political system?
A sheet of silicon contains 100 microprocessors all of which are the same size and type. The production process generates 20 imperfections on each sheet. 1) What is the probability that a microprocessor will have 0 imperfections
A project generates decreasing cash flows, $10,000 one year from now, decreases $1,000 every year and the project at the end of year 6 (6 years from now). At an annual interest rate of 12%.what type of Gradient is this
Solve Tracy's problem of how often to go to the ATM when the nominal interest rate on her bank account is 10 percent, she spends $30 each day, it costs her $.50 each time she uses the ATM, and she thinks that there is a 15 percent chance.
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