1. Consider the following information:
Q = 43 L + 4 K PL=13, PK=30, P=73 and C =5,148
What is the amount of maximized profits?
2. Consider the following information:
Q = 16 L + 53 K PL=49, PK=24, P=17 and C=2,335
What is the profit maximizing level of output?
1. Consider the following information: Q = 43 L + 4 K PL=13, PK=30, P=73 and...
Q =min{ 98 L , 126 K} where Q is the output of lampposts. The prices of labor (PL), capital (PK), lamppost (P) and the cost (C) are the following: PL=11, PK=5, P=11 and C=5,137 What is the profit maximizing amount of labor that Meyer Inc should hire?
1. Rikell company produces helmets using labor (L) and capital (K). Its production function is given by the following expression: Q = 98 L + 5 K where Q is the output of helmets. The prices of labor (PL), capital (PK), helmet (P) and the cost (C) are the following: PL=70, PK=62, P=48 and C=2,856 What is the slope of Rikell's Isoquant? 2. Rikell company produces helmets using labor (L) and capital (K). Its production function is given by the...
5. Consider a firm with the production function F(K,L) = (K^3/5)(L^1/5) (a) Setup and solve the long run cost minimization problem for the long run optimal amount of capital K*(w,r,q) and labor L*(w,r,q), and the long run minimized cost C* (w,r,q). (Hint: reduce the cost function for the next part. (b) Setup and solve the profit maximization problem over quantity using the cost function you solved for in the previous part. Solve for the profit maximizing quantity q *(p,w,r), cost...
Consider a production function Q=Q(K,L)=6K^(1/2)L^(1/3) with K as capital and L as labor input. Let the price per unit of output be P=$0.50, the cost or rental rate per unit of capital be r=$0.10 and let the price (wage rate) of labor be w=$1. a) find the profit max level of K and L and check with second order condition (my answer was L=3.375 and K=1.5) b) Find max profit (I got profit=1.986)
3. Consider the following Price and Quantity information for questions. Price (P) Quantity (Q) Revenue Marginal Revenue 20 0 0 - 18 4 72 18 16 8 128 14 14 12 168 10 12 16 192 6 10 20 200 2 8 24 192 -2 6 28 168 -6 4 32 128 -10 2 36 72 -14 0 40 0 -18 (a) Based on the information above write down the demand equation. P = 20 – 0.5Q (b) Write down...
. Consider the production function: f(K,L)=KLA. Let w and r denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function as a function of w, r, and q. (b) Find the profit maximizing output level and the profit as a function of w, r, and p.
1. [30 POINTS] Consider the production function y=f(L,K) = 4/1/2K1/4 where L is labor and K is capital. Price per unit of the labor is w, price per unit of the capital is r, and the price per unit of the output is p. (a) (10 POINTS] In long-run, if the firm's objective is to maximize its profit, what are the factor demand functions of labor and capital? (b) (10 Points) What is the optimal output level y and the...
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Consider following information in the table whereas P $5/bushel. L (no. of workers) Q (bushels of MPL VMPL wheat) 1000 1800 2400 2800 3000 Q.3 Find MPL and VMPL Marks Q.4 Fill them in the blank spaces of the table Marks Q.5 Then graph a curve with VMPL on the vertical axis, L on horizontal axis 8Marks Q.6 Two players i.e. American Airlines and United Airlines have the choice of cutting fares by 50% or leave fares alone;...
10. Consider the production function: f(KL)=K L. Let wandr denote the price of labor and capital, and let p denote the price of the output good. (a) Find the cost minimizing input bundle and the cost function as a function of w., and q. (b) Find the profit maximizing output level and the profit as a function of w, r, and p. 11. Consider the production function: f(KL)=K+L. Let w and r denote the price of labor and capital, and...
2) Consider the following production function for shirts: q=13/4K1/4, where L is worker-hours, and K is sewing machine-hours. The cost of one hour of labor L is w The cost of renting a sewing machine for one hour is r. What type of returns to scale does this production function have? a) b) Compute the marginal product of labor L and marginal product of capital K. What is the marginal rate of technical substitution of labor for capital .e. how...