

Question 2 (10 points) suppose that a firm's total product is TP(L)-40L2-L3 , where L is...
6. Show that Suppose that a firm's total product function is y = 40L- - L. Show that! the average product of labor, AP(L), rises when marginal product of labor, MP(L), exceeds AP(L), falls when MP(L) is less than AP(L), and is horizontal at the point where MP(L) = AP(L). P(L) is lesen marginal pro
Consider the Total Product (TP) curve given below. Three rays from
the origin touch the TP curve at four points. Label these points
(A, B, C, D). Now consider the slope of the ray from the origin to
each point and the slope of a line tangent to TP at each point.
Use the relationship among the slopes to plot the Average
Product ( AP) and Marginal Product (MP) curves on the set of axes
below. You need not “calculate”...
1. What is the formula for calculating the Marginal Product of Labor (MP)? 2. What is the formula for calculating the Average Product of Labor (AP)? Use the chart given below to answer questions 3-14: Labor Total Product Marginal Product Average Product 0 20 2 3 80 125 165 26.6 31.25 5 7 21 213 231 243 32 30.4 88 2 9 12 10 25 3. What is the total product of 2 workers? 4. For which worker does the...
Suppose the firm's production function is Q = 2KL where Q is units of output, K is units of capital (which are fixed at 2), and L is units of labor. a. What is the firm’s short-run production function? b. Over the labor input usage range of 0 to 5, that is L ranging from 0 to 5, graph the firm’s Total Product curve. c. Derive and graph the firm’s Average Product curve and the Marginal Product curve. Graph/plot them...
2. Consider the graph below which illustrates a given firm's AP and MP curves: AP MP Average and marginal product of labor MP 10 20 40 50 30 Labor a. At what level of output is AVC minimized? Explain your answer. b. When 10 workers are hired, what is the firm's output? c. When 15 workers are hired, what is the firm's AVC if w = 300? d. When 15 workers are hired, what is the firm's SMC if w-300?...
only number 5
Write an expression of the marginal cost function MC. Estimate the effect on TC about by 2 units decrease in from the current output level of 15 units. 5) A firm's short-run production function is given by Q = 50L -.0212 Where L denotes the number of workers. 1. Find the size of the workforce that maximizes output. 2. Find marginal product of labor (MPL) 3. Find the average product of labor (APL) 4. Find the size...
21. Refer to the above graph. It shows the marginal product of labor (MP) and the average product of labor (APL). At which point above does diminishing marginal returns set in? A. Point A B. Point B C. Point C D. Point D Assume that the only variable resource used to produce output is labor. Amount of Labor Total Product 6 1 16 2 24 3 30 4 34 36 22. Refer to the above table. The marginal product of...
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...
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...
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...