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Write an expression of the marginal cost function MC. Estimate the effect on...
5) A firm's short-run production function is given by Q=50 L-.02 L^{2}
5) A firm's short-run production function is given by Q=50 L-.02 L^{2}Where L denotes the number of workers.1. Find the size of the workforce that maximizes output.2. Find marginal product of labor (M PL)3. Find the average product of labor (APL)4. Find the size of the workforce which maximizes the average product of labor. Calculate M PL and A PL at this value. What do you observe.6) Find and classify the critical (stationary) points of the following function and state...
The figure below contains the short-run total product curve (TPsR) for a firm. It graphs its...
The figure below contains the short-run total product curve (TPsR) for a firm. It graphs its output (q) as a function of hired labor (L) 2.a) Graphically illustrate on the figure below the extent of both the average product of labor (APL) and the marginal product of labor (MP) at point A. 2.b) At point A is MPL APL or is MPL APL? 2.c) Locate a point on TP (label it C) where MPL is negative. 2.e) Locate a point...
3. Consider the production function y=. Assume r > 1. (a) Show that the production function...
3. Consider the production function y=. Assume r > 1. (a) Show that the production function y(«) is concave. (b) Show that the inverse production function z(y) is convex. (e) The price of y is p= 10. Find the firm's total product TP(x), marginal product MP) and average product AP (a). (d) Find the firm's value of marginal product VMP), and value of average product V AP(x). (e) Assume w<marV AP(x) Find the firm's input demand curve r*(w). (1) Suppose...
1. Imagine a firm has the following short-run production function: q=f(L,K) = K L – L?...
1. Imagine a firm has the following short-run production function: q=f(L,K) = K L – L? Assume K = 25. a. Fill in the following table. (First, find the total output from the production function, then find the marginal product by dividing the change in total output by change in labor.) Capital MPL Labor 7 Total Output 126 APL 18 25 12 25 25 25 25 25 10 11 12 13 14 15 25 25 25 b. How many units...
Question 2 (10 points) suppose that a firm's total product is TP(L)-40L2-L3 , where L is...
Question 2 (10 points) suppose that a firm's total product is TP(L)-40L2-L3 , where L is labor. a) Find function of Marginal Product of Labor MP(L) b) Find function of Average Product of Labor AP(L) c) Find the stationary point for AP(L) and determine whether this point is Maximum or Minimum d) Find the stationary point for MP(L) and determine whether this point is Maximum or Minimum
Please answer the two sub-parts Question 4 (20 points) A firm has the following short-run production...
Please answer the two sub-parts
Question 4 (20 points) A firm has the following short-run production function as follows: Q = 15L +18L2-0.5L, where Q = total products per period and L = number of workers employed per period. 4.1) (3 points) Derive the marginal product of labor (MPL). At what number of workers (L) does the law of diminishing returns begin? MPL = f(L) = Law of diminishing return begins when L = workers. . 4.2) (3 points) Derive...
3. Consider the production function y= . Assume r 1. (a) Show that the production function...
3. Consider the production function y= . Assume r 1. (a) Show that the production function y(x) is concave. (b) Show that the inverse production function r(y) is convex (c) The price of y is p 10. Find the firm's total product TP(x), marginal product MP(a) and average product AP(a) (d) Find the firm's value of marginal product VMP(a), and value of average product VAP(r) (e) Assume w < marVAP (x) Find the firm's input demand curve r*(w) (f) Suppose...
Professor Sprout decides to leave Hogwarts and run a business of mandrakes which have commercial due...
Professor Sprout decides to leave Hogwarts and run a business of mandrakes which have commercial due to its health restorative properties. She reads a research article in the Daily Prophet that provides the following production function (as a function of labor): ?(?) = ??? + ??? ? − ?. ?? ? Before she enters into business, she asks you to help her to figure out if it is feasible for her to enter in the market with 14 workers. I....
Q6: CH 10 (15%) You are planning to estimate a short-run production function for your firm,...
Q6: CH 10 (15%) You are planning to estimate a short-run production function for your firm, and you have collected the following data on labor usage (L) and output (Q): Labor usage (L) Output (0) a. Please key in the data into MS Excel for regression analysis. Estimate your firm's short-run production function. Do the parameter estimates have the appropriate algebraic signs? Are they statistically significant at the 5 percent level? (Hint: Run the production function as Q = AL...
Managerial Econ and Strategy (3rd Edition) Perloff Ch. 5 q. 2.2 Please explain in Excel? Figure...
Managerial Econ and Strategy (3rd Edition) Perloff
Ch. 5 q. 2.2
Please explain in Excel?
Figure 5.1 for reference.
2.2 Each extra worker produces an additional unit of out- put up to six workers. As more workers are added, no additional output is produced. Draw the total product of labor, average product of labor, and marginal prod- uct of labor curves in a graph similar to Figure 5.1. pollo product Curve su u at such production is inefficient and is...
5) A firm's short-run production function is given by Q=50 L-.02 L^{2}Where L denotes the number of workers.1. Find the size of the workforce that maximizes output.2. Find marginal product of labor (M PL)3. Find the average product of labor (APL)4. Find the size of the workforce which maximizes the average product of labor. Calculate M PL and A PL at this value. What do you observe.6) Find and classify the critical (stationary) points of the following function and state...
The figure below contains the short-run total product curve (TPsR) for a firm. It graphs its output (q) as a function of hired labor (L) 2.a) Graphically illustrate on the figure below the extent of both the average product of labor (APL) and the marginal product of labor (MP) at point A. 2.b) At point A is MPL APL or is MPL APL? 2.c) Locate a point on TP (label it C) where MPL is negative. 2.e) Locate a point...
3. Consider the production function y=. Assume r > 1. (a) Show that the production function y(«) is concave. (b) Show that the inverse production function z(y) is convex. (e) The price of y is p= 10. Find the firm's total product TP(x), marginal product MP) and average product AP (a). (d) Find the firm's value of marginal product VMP), and value of average product V AP(x). (e) Assume w<marV AP(x) Find the firm's input demand curve r*(w). (1) Suppose...
1. Imagine a firm has the following short-run production function: q=f(L,K) = K L – L? Assume K = 25. a. Fill in the following table. (First, find the total output from the production function, then find the marginal product by dividing the change in total output by change in labor.) Capital MPL Labor 7 Total Output 126 APL 18 25 12 25 25 25 25 25 10 11 12 13 14 15 25 25 25 b. How many units...
Question 2 (10 points) suppose that a firm's total product is TP(L)-40L2-L3 , where L is labor. a) Find function of Marginal Product of Labor MP(L) b) Find function of Average Product of Labor AP(L) c) Find the stationary point for AP(L) and determine whether this point is Maximum or Minimum d) Find the stationary point for MP(L) and determine whether this point is Maximum or Minimum
Please answer the two sub-parts
Question 4 (20 points) A firm has the following short-run production function as follows: Q = 15L +18L2-0.5L, where Q = total products per period and L = number of workers employed per period. 4.1) (3 points) Derive the marginal product of labor (MPL). At what number of workers (L) does the law of diminishing returns begin? MPL = f(L) = Law of diminishing return begins when L = workers. . 4.2) (3 points) Derive...
3. Consider the production function y= . Assume r 1. (a) Show that the production function y(x) is concave. (b) Show that the inverse production function r(y) is convex (c) The price of y is p 10. Find the firm's total product TP(x), marginal product MP(a) and average product AP(a) (d) Find the firm's value of marginal product VMP(a), and value of average product VAP(r) (e) Assume w < marVAP (x) Find the firm's input demand curve r*(w) (f) Suppose...
Q6: CH 10 (15%) You are planning to estimate a short-run production function for your firm, and you have collected the following data on labor usage (L) and output (Q): Labor usage (L) Output (0) a. Please key in the data into MS Excel for regression analysis. Estimate your firm's short-run production function. Do the parameter estimates have the appropriate algebraic signs? Are they statistically significant at the 5 percent level? (Hint: Run the production function as Q = AL...
Managerial Econ and Strategy (3rd Edition) Perloff
Ch. 5 q. 2.2
Please explain in Excel?
Figure 5.1 for reference.
2.2 Each extra worker produces an additional unit of out- put up to six workers. As more workers are added, no additional output is produced. Draw the total product of labor, average product of labor, and marginal prod- uct of labor curves in a graph similar to Figure 5.1. pollo product Curve su u at such production is inefficient and is...
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