a)
AP, MP and TP relationship.
B)
Firm must operate at 2nd stage. Here , Total production of firm is maximum.
MP is positive in this stage.
Firm must not operate in third stage since here diseconomies of scale are larger than the economies of scale.
Firm must not operate in first stage either. Here economies of scale are much larger than diseconomies of scale. Thus it is incumbent on firm to raise the level of output.
2) Figure A presents the three stages of a production function. (10 points) a. Illustrate the...
Typically, a production function can be divided into three production stages. i) Use Total Product, Average Product and Marginal Product to determine these stages. ii) Then, use the elasticity of production in the determination of the three production stages . iii) Why are stages 1 and 3 considered as an irrational area of operation? Use the graph to illustrate your answer (2 marks for the graph).
Figure 13-2 The figure depicts a total cost function for a firm that produces cookies. Total Cost Quantity of Output (# of cookies) Refer to Figure 13-2. What does the changing slope of the total-cost curve reflect? decreasing average variable cost decreasing average total cost decreasing marginal product O decreasing marginal cost The figure depicts a total cost function for a firm that produces cookies. Total Cost Quantity of Output (# of cookies) Refer to Figure 13-2. What is the...
Q1 [30 points] Show in a diagram using isoquants that a production function can have diminishing marginal return to a factor and constant returns to scale? With the help of a diagram explain the concepts of "isoquant", "diminishing marginal return to a factor", and "constant returns to scale". What are the similarities and differences between indifference curves and isoquants. Q2 [30 points Assume that a firm has a fixed-proportions production function, in which one unit of output is produced using...
A6 Microeconomics Assignment 6 Part I: Short Answer Questions [(100 points) Q1 [30 points) Show in a diagram using isoquants that a production function can have diminishing marginal return to a factor and constant returns to scale? With the help of a diagram explain the concepts of "isoquant", "diminishing marginal return to a factor", and "constant returns to scale". What are the similarities and differences between indifference curves and isoquants. Q2 [30 points Assume that a firm has a fixed-proportions...
Suppose you are given the following production function
Q= 21x + 9x2-x3
Compose a table calculating the Total Product (Q), Marginal
Product (MP) and Average Product (AP), for x ranging from 0 to 9
units.
Using the information from the table, graph these individual
curves and identify the rate of which diminishing marginal returns
are evident. Delineate the stages of production and
explain why Stages I and III are considered as
irrational whereas Stage II is termed as rational. What...
Using the information above.
1. Trace/graph the stages of production
2. Identify the point of diminishing returns
Units of Fixed Input Units of Variable Input Quantity/ Output Marginal Product Average Product 0 29 70 0 36 45 48 45 36 21 0 -27 -60 0 29 35 39 0 164 205 234 245 232 189 39 35 29 21 9
Q5. Given the following short-run production function (x = variable input, Q = output): Q = 3x2 - 0.1x3 (a) Determine the marginal product function (MPx) and the average product function (APx ). (b) Find the value of x that maximizes Q. (c) Find the value of x for which MPx is maximum. (d) Find the value of x for which APx is maximum. (e) Determine the boundaries of the three...
Assume labor is the only variable input and that the law of diminishing returns applies, explain the relationship between the marginal product of labor and marginal costs, and the average product of labor and average variable costs. Illustrate graphically these two sets of relationships, and illustrate graphically the short-run average total cost curve. Explain why, in the short-run, that average total cost is eventually increasing as production increases
Answer the following questions based on the following production function: Does this production function represent the long run or the short run? Explain. Suppose capital (K) is held fixed at 3 units and the firm hires 5 workers. What is the average product? What is the marginal product of adding the 6^th worker? Does the production function eventually exhibit diminishing returns? If so, where and why does this occur? Depict the isoquants for the production function for output levels 27...
Use Table 23-1 to answer Questions 39 through 43. Table 23-1 Fixed Input Variable Input Total Product 141111 O-Amino 39. For the firm described in Table 23-1, what is the marginal product of the eighth unit of variable input? a. 8 B. -2 c. 5 d. 8 e. 40 40. For the production function described by Table 23-1, what level of output marks the boundary between Stage II and Stage III? a 6.5 6. 7.5 c. 10 d. 40 ....