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4 Consider three points on a firm's isoquant curve corresponding to Q-100; points A, B, and...
The negative of the slope of an isoquant on a tangent line a particular (L,K) bundle of factor inputs is equal to the __ Assume questions are ordered top to bottom as a, b, c, d. Fig. 2: Bank Contour Plot Production Function:Q(L,K)=104 Machines 100 100 100 300 500 700 900 hr/hr (K) Human Bank Tellers hr/hr (L) 0 2 0 40 60 80 100 Oratio of the wage rate to the capital rental rate (w/r) Omarginal rate of technical...
(a) Consider the production function, q = 100K2L1.5 Calculate the marginal product of labor, MPL, and the marginal product of capital,MPK. (c) Suppose that in the short run, the level of capital is fixed at K = 15. Write out the total product of labor curve. What is the marginal product of labor when L = 100? (d) Now consider two input combinations, (K = 5, L = 100) and (K = 20, L = 25). Which of the two...
1. Consider the figure below illustrating an isoquant and isocost line for the ABC Fruit Company's production of guavas: x 6 a. [2 pts] Given the isocost line shown above, if the wage rate (w) is 2 and total cost is 12, what is the price of capital, r? b. [5 pts) Suppose that the marginal product of labor (MPL) = 6 and the marginal product of capital (MPK) = 3 at point A in the figure. At point B,...
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that the price of labor is $10 per unit and the price of capital is S1 per unit. (a) Graph the isoquant for q-121 000. (b) On the graph you drew for part a), draw several isocost lines including one that is tangent to the isoquant you...
(20 points) A firm's production function is q = 10.5K0.5, so that MPL = 0.5 0.5 40.5 20.5 and MPK = 0.5 0.5 10.5 k. Labor (L) costs w = 1, and capital (K) costs r = 4. a. (5 points) Solve for the long run optimal amount of labor (L') and capital (K*) if the firm wants to produce exactly 96 units of output. b. (5 points) What is the firm's long run total cost (in dollars) of producing...
Please help! Please show all work! 2. (21 points. Suppose a firm's production function is given by Q = L 1/2*K12. The Marginal Product of Labor and the Marginal Product of Capital are given by: MPL = 72 L 1/2K1/2and MPK = 12L12K-1/2 a) Suppose the price of labor is w=18, and the price of capital is r=2. Derive the firm's total cost function. b) What is the firm's marginal cost? c) For this problem, you will sketch the graph...
Question 4: (5 Marks) A firm's production function is described by the isoquant map below. The wage rate is $3 and the rental rate of capital is $6. Capital 4 x 3 2 00 11 10 4 6 8 Labor a) Draw the firm's LR total cost curve. Label the points that correspond to points A, B and C in the figure and the coordinates of each point. (2 Marks) b) Draw the firm's LR average cost curve. Label the...
Using the production function Q = ( and output levels of Q=2, Q=4, Q=6 A). Suppose the price of L and K is $3/hr. On a graph show isocost lines corresponding to total costs of $12, $24, and $36. Using isoquants and isocost lines, locate three points on the expansion path and draw the expansion path. Show your calculations. B). Using the three points on the expansion path, calculate the firm's long run total and average costs at each of...
Use the graph: Capital Isoquant 2 Isoquant 1 Isocost Labor 50 60 100 8. What is the MRTS between points A and B? 9. What is the MRTS between points B and C? 10. What is the slope of the isocost curve if wages=$300 a week and the rental price of capital is $300 per week? 11. Which isoquant curve represents higher output? 12. If Isoquant 1 represents output of 3000, what is the cost minimizing combination of inputs to...
Kent sells lemonade in a competitive market on a busy street corner. His production function is F (L, K) = L(1/3)K(1/3) where output q is gallons of lemonade, K is the pounds of lemons he uses and L is the number of labour-hours spent squeezing them. The corresponding marginal products are MPL = 1L(−2/3)K(1/3)3 MPK = 1L(1/3)K(−2/3)3 Every pound of lemons cost r and the wage rate of lemon squeezers is w. (35 points) a. Prove that this production process...