a. The cost function of a firm is C (x) = x 6z + 13z + 15 %3D - i. Derive an expression for the marginal cost ii. Find the value of x that minimizes the marginal cost function 1,2 K is sapital andLis labor A is
a. The cost function of a firm is C (x) = x 6z + 13z + 15 %3D - i. Derive an expression for the marginal cost ii. Find the value of x that minimizes the marginal cost function 1,2 K is sapital andLis labor A is
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:a. The cost function of a firm is C (x) = x – 6x2 + 13x + 15
i. Derive an expression for the marginal cost
ii. Find the value of x that minimizes the marginal cost function
b. The production function of a firm is Y = AK 3 L3.Y represents output, K is capital, and L is labor. A is a constant term.
This equation says that the firm uses labor and capital to produce its output.
i. Find the marginal products of labor
%3D
ii. Find the marginal product of capital.
C. A firm's revenue function is R (x) = 100x – 0.01a, and the cost function is C (x) = 50x + 10, 000, where x is output.
a. Compute the marginal revenue function and the marginal cost function.
b. Suppose the markets are competitive, which output level will maximize this firm's profit? Show all your
calculations.
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