Answered: Imagine your firm has the short run…

Imagine your firm has the short run production function: q = -2L4 + .5L² + 3L. What is the marginal product function? 8L³+ L 2L³ + .5L O-2L3 + .5L + 3 O-8L³+ L + 3

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter7: Proudction Costs

Section: Chapter Questions

Problem 2SQ

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Sugar Enterprises manufactures high speed personal computers as its main product line. Its short run production function is given by Q = 3600K - 4.5K² where Q is the number of computers produced in a week and K pertains to the number of units of capital. c.) Compute the marginal product of the 200th unit of capital. d.) How many computers can be produced by the firm in a week if there are 200 units of capital? e.) Compute the marginal product of the 300th unit of labor. f.) How many computers can be produced by the firm in a week if there are 300 units of labor?
1.) A firm engaged in the manufacture of RTWS faces the short-run production function Q = 250L - 5L², where L is the number of units of labor and Q is the number of RTWs produced annually. a.) How many units of labor are needed to maximize production output? b.) Find the maximum number of RTWs that can be produced by the firm in a year. c.) Compute the marginal product of the 10th unit of labor. d.) How many RTWS can be produced by the firm in a year if there are 10 units of labor? e.) Compute the marginal product of the 40th unit of labor. f.) How many RTWs can be produced by the firm in a year if there are 40 units of labor? g.) Sketch the graph of the production function.
a) Calculate the marginal product (MP1) for the mixers. Does the production function have increasing, decreasing, constant marginal product for the mixers? b) Suppose in the short run the amount of machines she has is fixed at 27. How many mixers should she use? How many baklavas will she produce? How much profit will she make? c)Usinag an isoprofit, as well as the production function, draw a diagram of your soltuion from part (b). carefully label all the slopes and intercepts. d) In the long run, how many mixers should she use? How many machines? How many baklavas will she make? e) Suppose that the government decides to provide a $1 subsidy per mixer. What is the profit-maximizing amount of input to use now?
A firm engaged in the manufacture of RTWS faces the short-run production function Q = 250L - 5L², where L is the number of units of labor and Q is the number of RTWs produced annually. d.) How many RTWS can be produced by the firm in a year if there are 10 units of labor? e.) Compute the marginal product of the 40th unit of labor. f.) How many RTWs can be produced by the firm in a year if there are 40 units of labor? g.) Sketch the graph of the production function.
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a. A firm's long-run total cost can be written as LTC = 3000Q - 50Q2 + (1/3)Q3 and its long-run marginal cost by LMC = 3000 - 100Q + Q2. Find the range over which the firm will experience economies of scale. Explain your answer. b. A firm has a production function of Q = K * L + L, where the marginal product of labor is MPL = K + 1 and the marginal product of capital is MPK = L. The wage rate (W) is $100 per worker and the rental price (R) is $100 per unit of capital. In the short-run, capital (K) is fixed at 4. Find the minimum total cost of production in the short- and long-run if the firm produces 100 units of output.
3. A firm’s production function is q = 8K.25L.75 MPL = 6 K.25L-.25 MPK = 2 K-.75L.75 a. Determine the short-run cost function b. Derive the long-run cost function
Suppose that the production function of a chip manufacturer is O- KL'-L. If L-100 and K- 200, then A) MP, =1,245 B) MP-10,000 C) MP, 6,545 D) MP, - 250 E) MP, - 20,000
For a production function at a given level of output in the short run, the marginal product of labor is less than the and the marginal cost average product of labor. This means the average product of labor must be must be___the average variable cost. increasing above increasing below O decreasing below O decreasing above
1. A firm estimates its production function as Q = -2.4 + 20*L -.5*L< + 30*K -1.00*K2 + 15*F -.3*F<. Total cost is TC = $2*L+ $2.5*K + $1.75*F. The firm wishes to produce 400 units of output. Use Excel to find the cost minimizing amounts of L, K and F. How much F (Fuel) should the firm use? A.F=7.90. B.F=9.58. C.F=10.75. D.F=12.63. E. F=14.88.
QUESTION 1 Suppose the short-run production function is given by f(x) = 8Vx What is the Marginal Product? 1 2 2x 4x 2x 1 4x
7 A firm has this cost function: C = 4000 - 7Q + 8Q2. The firm is currently producing 5 units of its product. Calculate these a) Total cost b) Average fixed cost c) Average variable cost d) Marginal cost (You must clearly label and type each answer in eCourses, and show your calculations to receive any credit for your answers.)