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ECON CH 5-2 Costs of Production

 
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 1. 

Examine the information above. On the right, list the things you expect to learn from this lesson.
Review the vocabulary words and look for them as you work through the lesson. You will be tested on them later.
 
 
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The marginal product of labor is the increase in output added by the last unit of labor.
In Section 1, we identified how producers respond to a change in price. The law of supply states that producers will offer more goods as the price goes up and fewer as the price falls. In this section, we will explain how a supplier decides how much to produce.

Consider a firm that produces beanbags  The firm’s factory has one sewing machine and one pair of scissors. The firm’s inputs are workers and materials, including cloth, thread, and beans. Assume that each beanbag requires the same amount of materials. As the number of workers increases, what happens to the quantity of beanbags produced?
Labor and Output
One of the basic questions any business owner has to answer is how many workers to hire. To answer this question, owners have to consider how the number of workers they hire will affect their total production. For example, at the beanbag factory, one worker can produce four beanbags per hour. Two workers can make a total of ten bags per hour, and three can make a total of seventeen beanbags an hour. As new workers join the company, total output increases. After the seventh worker is hired, production peaks at 32 beanbags per hour. When the firm hires the eighth worker, however, total output drops to 31 bags per hour.

Figure 5.6 shows the relationship between labor, measured by the number of workers in the factory, and the number of beanbags produced.
 

 2. 

Why does the marginal product of labor decrease with more than four workers in this
example?
a.
They did not hire enough workers
c.
They do not have enough material to increase production
b.
Production is limited by the equipment needed to increase production
d.
They need to increase wages to increase production
 

 3. 

At what point does an increase in hiring actually decrease the number of beanbags produced?
a.
4 workers
c.
7 workers
b.
6 workers
d.
8 workers
 
 
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Marginal Product of Labor
The third column of Figure 5.6 shows the
marginal product of labor, or the change in
output from hiring one more worker. This
is called the marginal product because it
measures the change in output at the
margin, where the last worker has been
hired or fired.
The first worker to be hired produces
four bags an hour, so her marginal product
is four bags. The second worker raises total
output from four bags an hour to ten, so her
marginal product of labor is six. Looking
at this column, we see that the marginal
product of labor increases for the first three
workers, rising from four to seven.
 

 4. 

How many workers produces the highest marginal product of labor?
a.
3
c.
7
b.
4
d.
8
 

 5. 

Which statement is true?
a.
Hirering more workers always results in more production
c.
Hiring more workers never results in more production
b.
Hiring more workers does not necessarily result in more production
d.
There is no way to tell how many workers will increase production
 
 
Increasing Marginal Returns
The marginal product of labor increases for the first three workers because there are three tasks involved in making a beanbag. Workers cut and sew cloth into the correct shape, stuff it with beans, and sew the bag closed. In our example, a single worker performing all these tasks would only produce four bags per hour. Adding a second worker would allow each worker to specialize in one or two tasks. If each worker focuses on only one part of the
process, she will waste less time switching between tasks and will become more skillful at her assigned tasks. In other words, specialization increases output per worker, so the second worker adds more to output than the first. The firm enjoys increasing marginal returns.

In our example, there are benefits from specialization for the first three workers. The firm enjoys a rising marginal product of labor for the first three workers.
 

 6. 

How many tasks are required to produce a bean bag?
a.
2
c.
4
b.
3
d.
8
 

 7. 

What effect does specialization have on the production of bean bags?
a.
it increases the productivity of the workers
c.
it decreases the marginal productivity no matter how many workers are hired
b.
it decreases the productivity of the workers
d.
it has no effect on productivity
 
 
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Diminishing Marginal Returns
When the fourth through the seventh workers are hired, the marginal product of labor is still positive. Each new worker still adds to total output. However, the marginal product of labor shrinks as each worker joins the company. The fourth worker increases output by six bags, while the seventh increases output by only one bag. Why?

After the beanbag firm hires its first three workers, one for each task, the benefits of specialization end. At that point, adding more workers increases total output, but at a decreasing rate. This situation is known as diminishing marginal returns. A firm with diminishing marginal returns of labor will produce less and less output from each additional unit of labor added to the mix.

The firm suffers from diminishing marginal returns from labor because its workers must work with a limited amount of capital. Remember that capital is any human-made resource that is used to produce other goods. In this example, capital is represented by the factory’s single sewing machine and pair of scissors.
When there are three workers, but only one needs to use the sewing machine, this worker will never have to wait to get to work. When there are more  than three workers, the factory will assign more than one to work at the sewing machine. While one is working, the other will have to wait. She may be able to help cut fabric or stuff bags in the meantime, but every bag must be sewn up at some point, so she cannot greatly increase the speed of the production process.

The problem gets worse as more workers are hired and the amount of capital remains constant. Wasted time waiting for the sewing machine or scissors means that additional workers will add less and less to total output at the factory.

Negative Marginal Returns
As the table in Figure 5.6 shows, adding the eighth worker at the beanbag factory can actually decrease output by one bag. At this stage, workers get in each other’s way and disrupt the production process, so overall output decreases. Of course, few companies ever hire so many workers that their marginal product of labor becomes negative
 

 8. 

At that point does adding more workers increases total output, but at a decreasing rate.
a.
4 workers
c.
7 workers
b.
5 workers
d.
8 workers
 

 9. 

What do they call it when you add more workers that increases total output but at a decreasing rate?
a.
productivity enhancement
c.
increasing marginal returns
b.
specialization
d.
diminishing marginal returns
 

 10. 

What is the biggest impediment to specialization and increasing marginal productivity?
a.
land
c.
capital
b.
labor
d.
finance
 
 
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Labor has increasing and then diminishing marginal returns.
 

 11. 

What is the marginal product of labor when the factory currently employs five workers?
a.
3
c.
5
b.
4
d.
8
 

 12. 

Look at the chart on the right. Remember that labor is expensive. How many workers would you hire to maximize specialization and productivity?
a.
1
c.
3
b.
2
d.
4
 
 
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Production Costs
Paying workers and purchasing capital are all costs of producing goods. Economists divide a producer? ’s costs into two categories: fixed costs and variable costs.
 

 13. 

Firms must separate fixed costs from variable costs to determine whether or not to
produce at a given market price. Why are some employees considered variable costs?
a.
They are essential to running the company and must be paid no matter what
c.
They are always full time employees
b.
They are non-essential and the company can do without them if necessary. Their usefulness varies from time to time
d.
They do work essential for the company to make a profit
 

 14. 

Rent and utilities are considered
a.
fixed costs
c.
marginal expenditures
b.
variable costs
d.
capital
 
 
nar008-1.jpgFirms consider a variety of costs when deciding how much to produce.
Fixed Costs
A fixed cost is a cost that does not change, no matter how much of a good is produced. Most fixed costs involve the production facility, the cost of building and equipping a factory, office, store, or restaurant. Examples of fixed costs include rent, machinery repairs, property taxes on a factory, and the salaries of workers who keep the business running even when production temporarily stops.

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Variable Costs
Variable costs are costs that rise or fall depending on the quantity produced. They include the costs of raw materials and some labor. For example, to produce more beanbags, the firm must purchase more beans and hire more workers to stuff the beanbags. If the company wants to produce less and cut costs, it can stop buying beans or have some workers work fewer hours a week. The cost of labor is a variable cost because it changes with the number of workers, which changes with the quantity produced. Electricity and heating bills are also variable costs, because the company can cut off heat and electricity for the factory and its machines when they are not in use.
 

 15. 

What is the total cost of producing 7 bean bags?
a.
$36
c.
$84
b.
$48
d.
12%
 

 16. 

How many bean bags will give you the greatest profit?
a.
7
c.
10
b.
8
d.
12
 

 17. 

Would you rather take in $216 or $240 in total revenue?
a.
$240 because you make more profit
c.
Neither is enough to sustain the business
b.
$216 because costs are not as high
d.
It doesn’t matter because they both yield the same amount of profit
 
 
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Total Cost
Figure 5.9 shows some cost data for the firm that produces beanbags. The firm has a factory that is fully equipped to produce beanbags. How does the cost of producing beanbags change as the output increases?

In our example, the fixed costs are the costs of the factory building and all the machinery and equipment inside. As shown in the second column in Figure 5.9, the fixed costs are $36.00 per hour.

Variable costs include the cost of beans, fabric, and most of the workers hired to produce the beanbags. As shown in the third column, variable costs rise with the number of beanbags produced. Fixed costs and variable costs are added together to find total cost. Total cost is shown in the fourth column.
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Marginal Cost
If we know the total cost at several levels of output, we can determine the marginal cost of production at each level. Marginal cost is the additional cost of producing one more unit.

As shown in Figure 5.9, even if the firm is not producing a single beanbag, it still must pay $36.00 an hour for fixed costs. If the firm decides to produce just one beanbag an hour, its total cost rises $8.00 from $36.00 to $44.00 an hour. The marginal cost of the first beanbag is $8.00.

For the first three beanbags, the marginal cost falls as output increases. The marginal cost of the second beanbag is $4.00, and the marginal cost of the third beanbag is $3.00. Each additional beanbag is cheaper to make because of increasing marginal returns resulting from specialization.

With the fourth beanbag, the marginal cost starts to rise. The marginal cost of the fifth per hour is $7.00, the sixth costs $9.00, and the seventh, $12.00. The rising marginal cost reflects diminishing returns to labor. The benefits of specialization are exhausted at three beanbags per hour, and diminishing returns set in as more and more workers share a fixed production facility.
 

 18. 

At what point does the marginal cost of producing beanbags begin to rise?
a.
3 bags
c.
6 bags
b.
4 bags
d.
8 bags
 

 19. 

So what does the marginal cost of production tell the businessman?
a.
The cost in production by adding additional workers
c.
Whether or not to increase supply
b.
The total revenue taken in
d.
The projected demand for his products
 
 
nar010-1.jpgSetting Output
Behind all of the decisions about how many workers to hire is the firm’s basic goal: to maximize profits. Profit is defined as total revenue minus total cost. As you read in Chapter 4, a firm’s total revenue is the money the firm gets by selling its product. Total revenue is equal to the price of each good multiplied by the number of goods sold. Figure 5.9 shows total revenue when the price of a beanbag is $24.00. To find the level of output with the highest profit, we look for the biggest gap between total revenue and total cost. The gap is biggest and profit is highest when the firm makes 9 or 10 beanbags per hour. At this rate, the firm can expect to make a profit of $98.00 an hour.
 

 20. 

Why wouldn’t you make, at least, some profit by producing 2 beanbags?
a.
Because there is not enough total revenue
c.
because total costs equal total revenue
b.
Because fixed costs are higher than variable costs
d.
because total revenue is only $10
 

 21. 

If you don’t produce any beanbags, why are you loosing money?
a.
Because fixed costs still have to be paid
c.
Because there are not enough workers
b.
Because variable costs are not high enough
d.
Because you still have to pay the fixed costs
 
 
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Marginal Revenue and Marginal Cost
Another way to find the best level of output is to find the output level where marginal revenue is equal to marginal cost. Marginal revenue is the additional income from selling one more unit of a good. If the firm has no control over the market price, marginal revenue equals the market price. Each beanbag sold at $24.00 increases the firm’s total revenue by $24.00, so marginal revenue is $24.00.

According to the table, price equals marginal cost with 10 beanbags, so that’s the quantity that maximizes profit at $98 an hour.

To understand how an output of 10 beanbags maximizes the firm’s profits, suppose that the firm picked a different level of output. If the firm made only 4 beanbags per hour, is it making as much money as it can?  From Figure 5.9, we know that the marginal cost of the fifth beanbag is $7.00. The market price for a beanbag is $24.00, so the marginal revenue from that beanbag is $24.00. The $17.00 difference between the marginal revenue and marginal cost represents pure profit for the company from making and selling the fifth beanbag. The company should increase its production to five beanbags an hour to capture that profit on the fifth beanbag.
If we do the same calculations for a sixth beanbag, we find that the company can capture a profit of $15.00 by producing the sixth beanbag per hour. The price of the seventh beanbag is $12.00 higher than its marginal cost, so that beanbag earns an additional $12.00 in profit for the company. The profit is available any time the company receives more for the last beanbag than it cost to produce. Any rational entrepreneur would take this opportunity to increase profit.

Now suppose that the firm is producing so many beanbags an hour that marginal cost is
higher than price. If the firm produces eleven beanbags an hour, it receives $24.00 for that eleventh beanbag, but the $30.00 cost of that beanbag wipes out the profit. The firm actually loses $6.00 on the sale of the eleventh beanbag. Because marginal cost is increasing, and price is constant in this example, the losses would get worse at higher levels of output. The company would be better off producing less and keeping costs down.

The ideal level of output is where marginal revenue (price) is equal to marginal cost. Any other quantity of output would generate less profit.  
 

 22. 

Why would we try to find the output level of marginal revenue that is equal to marginal cost?
a.
to find the best level of input
c.
to determine the price of products
b.
to find the best level of output
d.
to determine the cost of capital
 

 23. 

What is marginal revenue?
a.
the difference between capital and labor
c.
the additional cost of selling all goods
b.
the additional cost from selling one more unit of a good
d.
the additional income from selling one more unit of a good
 

 24. 

According to the table, price equals marginal cost with _____ beanbags, so that’s the quantity that maximizes profit at $98 an hour.
a.
4
c.
6
b.
10
d.
12
 

 25. 

Look at the chart above. Is it possible for this company to produce so many beanbags that they loose money by producing them?
a.
yes
c.
the chart does not show this
b.
no
d.
Silly, it is obvious that the more beanbags you produce the more money you will make
 
 
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Responding to Price Changes
What would happen if the price of a beanbag rose from $24.00 to $37.00? Thinking at the margin, we would predict that the firm would increase production to twelve beanbags per hour. That’s the quantity at which the marginal cost is equal to the new, higher price. At the original price of $24.00, the firm would not produce more than ten beanbags, according to
Figure 5.11. When the price rises to $37.00, marginal revenue soars above marginal cost at that output level. Raising production to twelve beanbags an hour would allow the firm to capture profits on the eleventh and twelfth beanbags.

This example shows the law of supply in
action. An increase in price from $24.00
to $37.00 causes the firm to increase the
quantity supplied from ten to twelve
beanbags an hour.
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 26. 

If the price of beanbags remains at $24 the company will loose money by increasing supply (production) What happens if they increase the price from $24 to $37
a.
the company will still loose money
c.
the companies profits will remain the same
b.
the companies profits will go up
d.
increasing price has no effect on supply
 

 27. 

This chart is an illustration of the law of _____ .
a.
supply
c.
equilibrium
b.
demand
d.
falling revenues
 
 
nar013-1.jpgThe Shutdown Decision
Consider the problems faced by a factory that is losing money. The factory is producing at a  level of output at which marginal revenue is equal to marginal cost. As you have read, this is the most profitable level of output. However, the market price is so low that the factory’s total revenue is still less than its total cost, and the firm is losing money. Should this factory continue to produce goods and lose money, or should its owners shut the factory down? This may seem like a silly question. In fact, there are times when keeping a money-losing factory open is the best choice. The firm should keep the factory open if the total revenue from the goods and services the factory produces is greater than the cost of keeping it open.

For example, if the price of beanbags drops to $7, and the factory produces at the profit-maximizing level of five beanbags per hour, the total revenue of the business is $35 per hour. Weigh this against the factory? ’s operating cost, or the cost of operating the facility. The operating cost includes the variable costs the owners must pay to keep the factory running, but not the fixed costs, which the owners must pay whether the factory is open or closed.

According to Figure 5.9, if the factory produces five beanbags, the variable cost is $27 per hour. Therefore, the benefit of operating the facility (total revenue of $35) is greater than the variable cost ($27), so it makes sense to keep the facility running.

Consider the effects of the other choice. If the firm were to shut down the factory, it would still have to pay all of its fixed costs. The factory? ’s total revenue would be zero because it would be producing nothing for sale. Therefore, the firm would lose an amount of money equal to its fixed costs.

For this beanbag factory, the fixed costs equal $36 per hour, so the factory would lose $36 for each hour it is closed. If the factory were to keep producing five beanbags per hour, its total cost would be $63 ($36 in fixed costs plus $27 in variable costs) per hour, but it would lose only $28 ($63 in total cost minus $35 in revenue) for each hour it is open. The factory would lose less money while producing because the total revenue ($35) would exceed the variable costs ($27), leaving $8 to cover some of the fixed costs. Although the factory would lose money in either situation, it would lose less money by continuing to produce and sell beanbags.

How long will a business continue to operate a factory at a loss before it decides to replace the facility? The firm will build a new factory and stay in the market only if the market price of beanbags is high enough to cover all the costs of production, including the cost of building a new factory.
 

 28. 

When should a company keep its factory open even though it is loosing money?
a.
You will make more profits once you hire more workers and increase production of beanbags
c.
To benefit the workers who would loose their jobs if the factory closed
b.
The firm should keep the factory open if the total revenue from the goods and services the factory produces is lower than the cost of keeping it open.
d.
The firm should keep the factory open if the total revenue from the goods and services the factory produces is greater than the cost of keeping it open.
 

 29. 

Even though you may shut down an unprofitable factory, you would still have to pay the
a.
variable costs
c.
supply costs
b.
labor costs
d.
fixed costs
 
 
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For most firms, the marginal cost of production falls as output rises from zero, but eventually begins to rise.
 

 30. 

How many beanbags an hour should this firm make to produce at the lowest possible marginal cost?
a.
2
c.
3
b.
4
d.
10
 
 
a.
fixed cost
f.
increasing marginal returns
b.
marginal cost
g.
operating cost
c.
marginal product of labor
h.
diminishing marginal returns
d.
marginal revenue
i.
variable cost
e.
total cost
 

 31. 

a level of production in which the marginal product of labor decreases as the number of workers increases
 

 32. 

a cost that does not change, no matter how much of a good is produced
 

 33. 

the change in output from hiring one additional unit of labor
 

 34. 

fixed costs plus variable costs
 

 35. 

a cost that rises or falls depending on how much is produced
 

 36. 

the additional income from selling one more unit of a good; sometimes equal to price
 

 37. 

a level of production in which the marginal product of labor increases as the number of workers increases
 

 38. 

the cost of operating a facility, such as a store or factory
 

 39. 

the cost of producing one more unit of a good
 



 
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