18). Option D. This is because it is the second stage of production where profit maximizing output is achieved.
19) Option D. Slope of total product is marginal product and here the line is tangent at Y. After Y MP declines steadily
20) Option A. Slope of TP is MPL
21) Option A. This is because it is the second stage where MP starts declining but AP is rising so MP > AP
22) Option B. At X
23) Option B. Because TP is maximum.
Questions 17-22 are based on the short-run production function in the graph on the right 18....
17) We manufacturer automobiles given the production function q = 5KL where q is the number of autos assembled per eight-hour shift, K is the number of robots used on the assembly line (capital) and L is the number of workers hired per hour (labor). If we use K = 10 robots and L = 10 workers in order to produce q = 450 autos per shift, then we know that production is: A) technologically efficient. B) technologically inefficient. C)...
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...
3) Consider the production function ? = 6? 0.3? 0.6 . The marginal products are ??? = 1.8? −0.7? 0.6 and ??? = 3.6? 0.3? −0.4 . a. In the short run assume that capital is fixed at ? = 10. Derive formulas for the short-run Total Product (TP), Average Product (APL), and Marginal Product (MPL). Graph these three functions. b. In the long run, capital is not fixed. Graph the isoquant for ? = 6. Identify and label three...
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(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...
Consider the production function y = x2 for for x > 1. (a)Derive and graph the marginal product MP and average product AP curves. (b)If the price of the input is w = 1, find total cost C(y); also find marginal cost MC and average cost AC. Draw the latter two curves on the same graph. (c)If the input price is w = 1, can you derive the supply curve for this competitive firm? Why or why not? With steps,...
1. Which of the following is true before a firm has reached the point of diminishing returns? a) marginal product is negative b) marginal product is rising, but still positive c) average product is declining d) average product may be rising or declining e) both a) and c) are correct 2. Whenever the slope of the total product curve is increasing at an increasing rate, the marginal product curve is _____. a)...
248 PROFIT MAXIMIZATION (Ch. 20) 20.1 (0) The short-run production function of a competitive firm is given by f(L)62/3, where L is the amount of labor it uses. (For those who do not know calculus-if total output is al, where a and b are constants, and where L is the amount of some factor of production. then the marginal product of L is given by the formula abL- The cost per unit of labor is w-6 and the price per...
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...
A fully competitive firm has the following short-run cost function c(y)=(y)^3-8(y)^2+30y+5 a. Calculate the firm's marginal cost function b. Calculate the firm's average variable cost function c. Show on a graph the marginal cost function and of the average variable cost function d. When is the average variable cost falling as output rises? When is the average variable cost rising as output rise? e. At what output does marginal cost equals average variable cost? f. At what price does the...