Dave is going into the business of making refrigerators. He has estimated his production function to look like: Q=.1L.5K.5, where Q is number of refrigerators per week and L and K are the usual inputs of labor and capital. The current price of labor is $12/unit and the current price of capital is $3/unit. Dave has estimated demand to besuch that he will need to make 100 units per week and has built his factory (purchased K)to do so optimally.
Now that he is in the short run, how many refrigerators will Dave produce if he wakes upone week and finds that the market price of refrigerators is $240?
Dave is going into the business of making refrigerators. He has estimated his production function to...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function of the form: q = 5LK+K+L where q is units per day, L is units of labor input and K is units of capital output. The marginal product of the two inputs are: MPL = 5K+1, MPK = 5L +1. Price per unit of labor: w= $15, price per unit of capital: v= $15. Both labor and capital are variable. a. Write down the...
3. The White Noise Corporation has estimated the following Cobb-Douglas production function using monthly observations for the past two years: ln Q = 1.386 + 0.20 ln K + 0.30 ln L + 0.25 ln N where Q is the number of units of output, K is the number of units of capital, L is the number of unit of labor, and N is the number of units of raw materials. With respect to the above results, answer the following...
Suppose we are given a profit function Q = 12L.5K.5 . The price of labor is $6 per unit and the price of capital (K) is $7 per unit. The firm is interested in the optimal mix of inputs to minimize the cost of producing any level of output Q. In the optimal mix the ratio of labor to capital is ____ . Hint: Write your answer to two decimal places. When discussing ratios the convention is "ratio of a to...
A plant’s production function is Q = 2KL + K . The price of labor services w is $ 4 and of capital services r is $ 5 per unit. a) In the short run, the plant’s capital is fixed at K = 9. Find the amount of labor it must employ to produce Q = 45 units of output. b) How much money is the firm sacrificing by not having the ability to choose its level of capital optimally?...
Suppose a firm's production function is given by the equation Q = 12L.5K.5 . This firm operates in the short run where capital (K) is fixed at a quantity of 16. If the price per unit of the good is $1.8 and labor costs $10 per unit. Then the profit maximizing amount of labor in the short run is ___?
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of workers and k is units of capital.mrtslk is k/l. the wage rate is $900 per week, and a unit of capital costs $400 per week. what is the least cost input combination for producing 675 units of output?
A firm has the following production function Q= √KL Where Q is output per week and K and L are units of capital and labor per week. If rental price of capital v= 100 per week and the wages w = 400 per week obtain the quantity of K and L that min the cost for Q = 10.
The production function for homes is given by: Q = 5KL Where Q = output of homes per week K = capital L = work teams a. Assuming capital is fixed at K=5, how many labor teams does the firm need to hire if it wants to produce 100 homes ? b. If each labor team costs $500 and capital costs $100 per unit, how much will it cost them to produce 100 homes? c. If there are...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of workers and k is units of capital.mrtslk is k/l. the wage rate is $900 per week, and a unit of capital costs $400 per week. assuming no fixed cost, what is the firm's total cost of production if it uses least-cost input combination to produce 675 units of output?
QUESTION 10 Acme Eggs produces eggs. Acme has estimated this production function for its eggs: Q = 10L".SK.) The marginal product of labor is given by MPL =5L-0.5 K.S and the marginal product of capital is given by MPx=520.5 -0.5 where Q = output measured in eggs, L = labor measured in person hours, and K = capital measured in machine hours. Acme currently pays a wage of $15 per hour and considers the relevant rental price for capital to...