Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 70L0.9K®1 where L is units of labor, K is units of capital, and P(L, K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $1,000 and each unit of capital costs $7,000. Further suppose a total of $2,800,000 is available to be invested in labor and capital (combined). A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint? Units of labor, L - Units of capital, K - B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production units

uppose a Cobb-Douglas Production function is given by the following:P(L,K)=60L^0.8K^0.2where LL is units of labor, KK is units of capital, and P(L,K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $900 and each unit of capital costs $3,600. Further suppose a total of $900,000 is available to be invested in labor and capital (combined).A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint?Units of labor, LL = Units of capital, KK = B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.)Max production =  units

4. Ikea Inc., a home remodeling business. The number of square feet they can remodel in a day is described by the Cobb-Douglas production function Q= F (L,K)= 4K5L0.5 where L is their number of workers and K is units of capital. The wage rate is $5 a day, and a unit of capital costs $20 a day. What is their minimum cost input combination for remodeling (Q=200) 200 square feet a day? What is the total minimum cost level? (15p)

Consider a production function Q = (K.5 + L.5) 2    Does this production function exhibit Increasing, Constant, or Decreasing returns to scale?

RBW produces light sticks for one of their legendary girl groups, Kara. Suppose that RBWuses capital, K, and labor, L, to produce the light sticks. The production function is given as: Q(K,L)=2K0.75L0.51. Identify if RBW’s production function is increasing, constant, or decreasing returns to scale with a brief explanation. Also, solve for the company’s cost minimization problem by providing conditional demand functions of labor and capital, with respect to their input prices. Assume that w is the wage of labor and r is the rent cost of capital.2. Suppose that RBW is preparing for a mini-fan meet for the group’s “When I move” mini-album launch and that they have to provide 200 light sticks. The wage of labor, w, is $6.00 and the cost of capital, r, is $2.00. Determine how much labor and capital they have to use and the total cost of producing the light sticks.

Hannah and Sam run Moretown Makeovers, a home remodeling business. The number of square feet they can remodel in a week is described by the Cobb-Douglas production function             Q=F(L,K)             Q=10L^0.5K^0.5,where L is their number of workers and K is units of capital. The wage rate is $250 per week and a unit of capital costs $250 per week. Suppose that when initially producing 100 square feet a week, they use 10 units of capital.a. What is their short-run cost of remodeling 1,000 square feet per week?    Instructions: Enter your answer as a whole number.    $ b. What is their long-run cost of remodeling 1,000 square feet per week?    Instructions: Enter your answer as a whole number.    $

Question 6 ▼ Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 10L0.9 K0.1 where L is units of labor, K is units of capital, and P(L, K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $100 and each unit of capital costs $700. Further suppose a total of $140,000 is available to be invested in labor and capital (combined). Units of labor, L = A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint? Submit Question Units of capital, K = B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production = Question Help: Video units

How would you determine that a two-input Cobb-Douglas production function has decreasing returns to scale (DRS), increasing returns to scale (IRS) or constant returns to scale (CRS) depending on whether α1 + α2 is larger than, smaller than, or equal to one?

Consider the production function q=√L+8K^(3).  Starting from the input combination (3,6), does the production function exhibit increasing, constant or decreasing returns to scale if inputs double?

Consider the following production function when K is fixed. (This is a description of the figure: it shows a two-axis graph; in the horizontal axis we measure labor and in the vertical axis we measure meals; the graph of the production function is a line that intersects the vertical axis at a positive amount; this graph is a line with positive slope and passes through the point (4,300)). Can we say that the production function satisfies the law of decreasing marginal returns of labor?True False