05 Jul Homework-3 Economics 202
1.
(25 total points) Joe runs a farm. He rents the land for $240 a day, and he can hire workers for $10 per day for each worker. His short run production function is given in the first two columns of the following table.
Complete the table below by filling in ALL missing numbers. If your answer is a decimal rather than a whole number, round your answer to the nearest 2 decimal places.
Helpful advice: When filling out large tables, you may want to print the table and fill it out by hand. Then, type in the numbers when completed with your work. In addition, this will give you a completed table to view when answering the problems below the table. This practice is strongly recommended.
| Workers | Output | MP | TVC | TFC | TC | AFC | AVC | ATC | MC |
| 0 | 0 | —- | 0 | —- | —- | —- | —- | ||
| 1 | 10 | ||||||||
| 2 | 40 | ||||||||
| 3 | 80 | ||||||||
| 4 | 105 | ||||||||
| 5 | 115 | ||||||||
| 6 | 120 | ||||||||
| Table for Individual Question Feedback | |||||||||
2.
In the table you just filled out, find where diminishing marginal productivity begins.
Specifically, which is the first worker to add less marginal output than the previous worker?
A) first worker
B) second worker
C) third worker
D) fourth worker
E) fifth worker
F) sixth worker
| Table for Individual Question Feedback | ||
| Points Earned: | 3.0/3.0 | |
3.
According to the table (and general theory), what is true?
A) the highest MP is associated with the highest MC
B) the highest MP is associated with the lowest MC
C) the lowest MP is associated with the lowest MC
D) the lowest MC is associated with the lowest ATC
| Table for Individual Question Feedback | ||
| Points Earned: | 3.0/3.0 | |
4.
For the following 6 questions, refer to the table you filled out above. Plot the labor input (workers) against the output. Put the labor input on the horizontal axis and the output on the vertical axis. What is the general shape of this function?
A) an upward sloping line
B) an upward sloping function that gets steeper as a lot of workers are hired
C) an upward sloping function that gets shallower as a lot of workers are hired
D) a symmetrical parabola
E) a downward sloping line
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
5.
Plot the labor input (workers) against the MP (marginal product). Put the labor input on the horizontal axis and the MP on the vertical axis. What is the general shape of this function?
A) It is a hill-shaped function (goes up, peaks, then falls)
B) It is a valley-shaped function (goes down, bottoms out, then rises)
C) It is a horizontal line
D) It is an upward sloping function
E) It is a downward sloping function
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
6.
Plot the output against the TVC (total variable cost). Put the output on the horizontal axis and the TVC on the vertical axis. What is the general shape of this function?
A) It is a hill-shaped function (goes up, peaks, then falls)
B) It is a valley-shaped function (goes down, bottoms out, then rises)
C) It is a horizontal line
D) It is an upward sloping function
E) It is a downward sloping function
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
7.
Plot the output against the TC (total cost). Put the output on the horizontal axis and the TC on the vertical axis. What is the general shape of this function?
A) It is a hill-shaped function (goes up, peaks, then falls)
B) It is a valley-shaped function (goes down, bottoms out, then rises)
C) It is a horizontal line
D) It is an upward sloping function
E) It is a downward sloping function
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
8.
Plot the output against the TFC (total fixed cost). Put the output on the horizontal axis and the TFC on the vertical axis. What is the general shape of this function?
A) It is a hill-shaped function (goes up, peaks, then falls)
B) It is a valley-shaped function (goes down, bottoms out, then rises)
C) It is a horizontal line
D) It is an upward sloping function
E) It is a downward sloping function
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
9.
Plot the output against the AFC (average fixed cost). Put the output on the horizontal axis and the AFC on the vertical axis. What is the general shape of this function?
A) It is a hill-shaped function (goes up, peaks, then falls)
B) It is a valley-shaped function (goes down, bottoms out, then rises)
C) It is a horizontal line
D) It is an upward sloping function
E) It is a downward sloping function
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
10.
Think about the general relationship between the marginal product of labor (MPL) and the marginal cost of output (MC). As MPL increases, what happens to MC?
A) MC increases
B) MC decreases
C) MC remains the same
D) Any of the above answers could be correct, depending on the industry
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
11.
Think about the general relationship between the marginal product of labor (MPL) and the marginal cost of output (MC). As MPL decreases, what happens to MC?
A) MC increases
B) MC decreases
C) MC remains the same
D) Any of the above answers could be correct, depending on the industry
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
12.
If the margin is greater than the average, what can we say about the average and margin?
A) The average is at its maximum
B) The average is at its minimum
C) The average is rising
D) The average is falling
E) The margin is at its maximum
F) The margin is at its minimum
G) The margin is rising
H) The margin is falling
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
13.
What is the general relationship between AVC, ATC, and MC?
A) the three functions are all valley-shaped, but don’t intersect each other
B) the three functions are all hill-shaped, but don’t intersect each other
C) the thee functions are all valley-shaped, and AVC = ATC at most output levels
D) the three functions are all valley-shaped, and MC intersects each of the average functions at their minimum.
E) the three functions are all valley-shaped, and there is a single intersection point where MC = AVC = ATC.
F) the three functions are all valley-shaped, and ATC < AVC for most levels of output
G) answers [E] and [F} are both correct
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
14.
Diminishing marginal returns to labor
A) Will happen immediately at the first worker
B) Occur only in the long run
C) Are a result of variable capital inputs
D) Are the cause of decreasing returns to scale
E) All of the above
F) None of the above
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
15.
In the long run, what is true about increasing returns to scale? Increasing returns to scale means that doubling our inputs will result in _________ the output, and the long run average cost curve is ___________.
A) less than doubling, downward sloping
B) less than doubling, horizontal
C) less than doubling, upward sloping
D) doubling, downward sloping
E) doubling, horizontal
F) doubling, upward sloping
G) more than doubling, downward sloping
H) more than doubling, horizontal
I) more than doubling, upward sloping
| Table for Individual Question Feedback | ||
| Points Earned: | 2.0/2.0 | |
16.
In the long run, what is true about constant returns to scale? Constant returns to scale means that doubling our inputs will result in _________ the output, and the long run average cost curve is ___________.
A) less than doubling, downward sloping
B) less than doubling, horizontal
C) less than doubling, upward sloping
D) doubling, downward sloping
E) doubling, horizontal
F) doubling, upward sloping
G) more than doubling, downward sloping
H) more than doubling, horizontal
I) more than doubling, upward sloping
| Table for Individual Question Feedback | ||
17.
What is considered to be a cause of decreasing returns to scale (also called diseconomies of scale)?
A) high levels of technology
B) bureaucratic inefficiencies
C) workers organizing and forming unions
D) bulk discounts from the firm buying large amounts of inputs
E) workers slacking off with less supervision
| Table for Individual Question Feedback | ||
18.
What is an intuitive explanation for increasing returns to scale (also called economies of scale)?
A) Bigger firms with larger amounts of capital can produce the goods at a lower cost
B) Bigger firms with larger amounts of capital produce the goods at a higher cost
C) Bigger firms pay workers higher wages
D) Firms will always attempt to secure the largest amount of capital
E) Larger firms always have fewer overhead costs
| Table for Individual Question Feedback | ||
19.
Suppose there is an increased demand for output. How will this affect the demand curve for labor?
A) The labor demand will shift to the right
B) The labor demand will shift to the left
C) Firms will try to avoid using any labor (if possible) in their production process
D) Firms will try to use as much labor as possible in their production process
| Table for Individual Question Feedback | ||
20.
Suppose that capital and labor are complements in production. Assume there is an increase in the quantity of capital. How will this affect the demand curve for labor?
A) The labor demand will shift to the right
B) The labor demand will shift to the left
C) Firms will try to avoid using any labor (if possible) in their production process
D) Firms will try to use as much labor as possible in their production process
| Table for Individual Question Feedback | ||
21.
Suppose that capital and labor are complements in production. Assume there is a decrease in the quantity of capital. How will this affect the demand curve for labor?
A) The labor demand will shift to the right
B) The labor demand will shift to the left
C) Firms will try to avoid using any labor (if possible) in their production process
D) Firms will try to use as much labor as possible in their production process
| Table for Individual Question Feedback |
22.
The Marginal Revenue Product of Labor (MRPL) curve is equivalent to:
A) The labor supply curve
B) The wage rate
C) The labor demand curve
D) The number of workers employed by the firm
| Table for Individual Question Feedback | ||
23.
A profit-maximizing firm will continue to hire labor inputs as long as
A) it can pay the workers a low wage
B) the workers are very productive
C) the demand for labor is low
D) the demand for the output produced is high
E) the marginal revenue product is greater than the wage rate
| Table for Individual Question Feedback | ||
24.
Suppose that capital and labor are substitutes in production. In other words, the firm can generally use capital or labor to get the production completed. Suppose the cost of capital increases greatly. How will this affect the demand for labor?
A) The labor demand will shift to the right
B) The labor demand will shift to the left
C) Firms will try to avoid using any labor (if possible) in their production process
D) Firms will try to use as much labor as possible in their production process
| Table for Individual Question Feedback | ||
25.
Billy is an employee at BigCo. Suppose that at a wage rate of w = $10 per hour, Billy worked 40 hours per week. After Billy gets a raise to a new wage of w = $12, he decides to work 45 hours per week. What can we infer about Billy from this information?
A) His labor demand curve is downward sloping
B) His labor supply curve is downward sloping
C) Billy really enjoys going to work every day
D) Billy’s substitution effect is greater than the income effect
E) Billy is working extra hours in hopes of getting an even higher wage raise
F) Billy has a perfectly inelastic supply of labor
| Table for Individual Question Feedback | ||
26.
LeatherTown sells wallets for a price of $50 each. The firm pays its workers $100 per day. How many workers should LeatherTown hire?
A) 5000 workers
B) 5 workers
C) 2 workers
D) 1 part-time worker
E) not enough information to answer this question
| Table for Individual Question Feedback | ||
27.
In this problem, the short run production function is given. In other words, we are able to see the total output that is produced when different amounts of labor inputs are hired. Each output unit produced by this firm is sold at a price of P = $4.
Fill out the rest of the table from the given information. Recall that MP = Marginal Product, MRP = Marginal Revenue Product, and TR = Total Revenue.
| Labor | Output | MP | MRP | TR |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 80 | |||
| 2 | 140 | |||
| 3 | 185 | |||
| 4 | 220 | |||
| 5 | 250 | |||
| 6 | 260 | |||
28.
Having filled out the above table, we now consider the number of workers that will be hired by the profit-maximizing firm. In the table below, fill in Quantity of Labor demanded column. In other words, we are asking the following: How many workers will the firm hire at each wage rate?
| Wage | Quantity of labor demanded | |
| 50 | ||
| 130 | ||
| 150 | ||
| 200 | ||
| 250 | ||
| 300 | ||
| 350 | ||
| Table for Individual Question Feedback | ||
| Points Earned: | 14.0/14.0 | |
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