Draw an isoquant representing Y = 140 for each of the following ca and K denotes units of capital. A. Y = Min (2L, 7K). Find the TRS at L = 80 and K = 20
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- On separate axes, draw typical production isoquants for each of the following production functions. a) f(x, y) = 2xy+1. c) f(x, y) = x + min{x,y}.100VKL, where q is 4. The production function for puffed rice is given by q = the number of boxes produced per hour, K is the number of puffing guns used each hour, and L is the number of workers hired each hour. (a) Calculate the q = 1,000 isoquant for this production function and show it on a graph. (b) If K = 10, how many workers are required to produce q =1,000? What is the average productivity of puffed-rice workers? (c) Suppose technical progress shifts the production function to q = 200 VKL. Answer parts (a) and (b) for this new situation.Consider the following Cobb-Douglas production function, where a = ß = 0.5: Q=K&LB. Find the equation for the isoquant when Q = 4,000. K= = (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a fraction can be created with the / character.)
- What is MRTSL,K of an L-shaped isoquant? Please explain thank you!Dream Line manufacturing has a fixed scale of plant with the levels of total product given in the table below for different levels of labor. Complete the table by calculating the average product and marginal product. (0.5x8=4 Marks) Quantity of labor (workers) Total product Average product Marginal product 0 0 1 29 2 54 3 77 4 95A farmer uses a certain technology that produces electricity. His production function is given as: q = f (k, l) = 1000k¹⁰/20 – 201³ Where q is the no. of megawatts of electricity his company is producing. Suppose that their electrical generators, k=20, calculate for the following: 1. Marginal product of labor 2. Average product of labor if k=20 3. If k decreases from 20 to 17, calculate the new MP of labor and the average product. Explain intuitively what happens to the MP and the average product.
- Suppose that the production function is given as follows:TPL = 10L + 5L2 + L3Find the total product, Marginal product and average product when L = 5.please computation for the following production function. found in table 13 show computation for each row.Suppose you run a factory whose short-run production function is given by f (L) = 180L² – 3L³. (a) Find mathematical expressions for the total product of labor, the average product of labor and the marginal product of labor. (b) On two separate axes, graph T PL, APL, and MPt. The diagrams do not need to be scale, but be sure they are internally consistent. In other words, make sure that all relevant relationships between the three lines are correct. If you have trouble figuring out what the graph looks like, feel free to use a graphing calculator or an online graphing tool to find the basic shape. Find the quantity of labor associated with each of the following points and label it on your diagram: (i) the maximum value of TPL, (ii) the maximum value of APL, (ii) the maximum value of M PL. (c) For what values of L does the production function exhibit each of the following: i. increasing marginal labor productivity ii. diminishing marginal labor productivity iii. negative marginal labor…
- Draw the isoquant map, be precise for at least one isoquant line, carefully determine the gaps between each level of output (i.e. show at least 3 gaps). You must show your work. f(K,L) = K2L2Question 3 For each one of the following production function determine whether it has constant, increasing or decreasing return to scale (prove): a. F(K, L) = 5K+ 3L b. F(K,L) K0.7 + 10.3 c. F(K,L)= K0.210.1 = d. F (K, L) = 5 (+1)Determine the multifactor productivity for the combined input of the labor and the machine time using the following input : labor :3000$,material :800$, .overhead: 20o0$ . keep in mind the production is 1760 unit