Production Answer Key

PRODUCTION Chapter Overview Chapter 5 begins by exploring the nature of different kinds of production costs. A numerical and graphical example is presented concerning how production levels, and production costs, change as the use of a variable input is increased. You will learn about total product curves, total cost curves, marginal cost curves, and the long-run average cost curve. After reading and reviewing this chapter, you should be able to: Understand the economist’s notion of production. Define the difference between economic and accounting costs. Distinguish between private and external costs. Understand an economic production function. Describe the relationship between patterns of returns and patterns of (total and marginal) production costs. 6. Discuss economies of scale 1. 2. 3. 4. 5. Key Term Review triple bottom line cost-benefit analysis inputs outputs marginal analysis variable costs fixed costs (sunk costs) accounting costs economic costs production function fixed input variable input short run limiting factor long run total product curve marginal product diminishing marginal returns constant marginal returns increasing marginal returns total cost total cost curve increasing marginal costs constant marginal costs decreasing marginal costs average cost (average total cost) long-run average cost economies of scale constant returns to scale diseconomies of scale minimum efficient scale maximum efficient scale input substitution 1 Active Review Fill in the Blank 1. Costs of production that are not borne by persons or entities directly involved in the production are known as _________________________ costs. 2. Annika opens a riding stable. She factors in the cost of buying horses, buying riding tackle, and renting space. However, she does not consider the opportunity cost of her time. Annika is considering only the _________________________ costs of her project. 3. A cost that can be easily adjusted is known as a(n) ________________________ cost. 4. An equation or graph that shows the relationship between types or quantities of inputs and quantity of the output is known as a(n) _________________________. 5. In the short run, a factor that creates a constraint to increasing production is known as a(n) _________________________ factor. 6. When we consider a time scale long enough to allow fixed inputs to become variable, it becomes relevant to consider the long run _________________________ cost of production. 7. Applying fertilizer to a crop of beans is associated with diminishing marginal returns. From this fact, we can deduce that applying fertilizer to beans has _________________________ marginal costs. 8. When a company's long-run average cost increases with increasing output, that company is experiencing _________________________ of scale. 9. A lawn service decides to get rid of its leaf blowing machines and increase its number of workers, who will gather and move leaves using regular, nonautomated rakes. This decision is an example of input _________________________. True or False 10. The harmful effects of the pesticide DDT on human health can be considered an external cost. 11. The costs of fixed inputs can only be adjusted in the long run. 12. The social costs of production include opportunity costs, accounting costs, and external costs. 2 13. A process exhibits economies of scale when long run average cost increases with increasing output capacity. 14. A paper mill pollutes a local river by discharging waste containing chlorine and other toxic chemicals. The cost of treating diseases that result from this pollution would be considered an accounting cost of production. 15. A company signs a contract for five years, under which it will pay the same amount every month for property insurance. This cost, which is independent of the level of production in any given month, is referred to as a variable cost. 16. In the long run, all inputs are variable. Short Answer 17. Suggest a situation in which the economic costs of a project would be lower than the accounting costs. 18. Which is a better guide in making decisions about what projects to undertake: accounting cost or economic cost? 19. The relationship between hours spent studying (input) and knowledge of economics (output) is positive. However, once you have done 20 hours of studying, an additional hour does not add as much to your knowledge as the first hour did. When you graph the relationship between studying and knowledge, is the resulting line straight or curved? Why? 20. Explain the difference between fixed and variable costs. 3 Problems 1. As Augusta’s Hair Salon increases its staff from 1 to 15 hairdressers, it experiences increasing marginal returns, because the hairdressers work faster and better when they are in a larger group. Illustrate this situation on a total product curve graph. 2. A shoe factory has 500 employees and produces a thousand pairs of shoes per hour. a. What is the shoe factory’s productivity per worker per hour? __________ b. The factory hires one new worker. Now, the factory produces 1,002 shoes per hour. Then the factory hires one more worker. Production rises to 1,004 per hour. Does the factory have diminishing, constant, or increasing marginal returns at this level of production? __________________________________________________________________ __________________________________________________________________ __________________________________________________________________ c. Graph the production function (total product curve) of the shoe factory at these levels of production, carefully labeling all lines and points. 4 3. Production at Julia's call center shows the following relationship between the number of workers and the number of phone calls handled (per day). Quantity of Variable Input: Labor 0 1 2 3 Quantity of Output: Calls 0 100 180 240 Marginal Return to Additional Labor -- Fixed Cost ($) Variable Cost ($) Total Cost ($) a. Calculate the marginal return gained from the addition of each worker, filling in the column in the table. b. Suppose Julie has entered a long term lease for an office space and telephones, and this is her only fixed cost. The lease costs her $50 (per day). Fill in the Fixed Cost column in the table. c. Julia pays each worker she hires $80 per day, and this is her only variable cost. Fill in the Variable Cost column in the table. d. Fill in the column for the Total Cost corresponding to each level of production. 4. Producing umbrellas requires inputs of fabric, metal, and labor. Umbra’s Umbrella Factory experiences increasing returns to inputs of labor up to a certain point, and constant returns for all levels of production thereafter. There is no range of diminishing returns at Umbra’s Umbrella Factory. a. What is the shape of the production function for Umbra’s Umbrella Factory? Sketch (and fully label) it below. b. Sketch the total cost curve for Umbra’s Umbrella Factory. 5 c. Sketch the marginal cost curve for Umbra’s Umbrella Factory. 5. Coretta can build three chairs in her first week of work. In the second week, she starts to get tired and has to take time out to clean the workshop, so she can only make two additional chairs. In the third week, she settles into a pattern of one additional chair per week, which she can maintain for a fourth, fifth, and sixth week. In the seventh week, she’s exhausted and can only finish half an additional chair. a. Make a table showing the number of weeks worked and the marginal and total number of chairs produced. b. Sketch Coretta’s total product curve for chairs, where the variable input is the time she spends, and the output is the total number of chairs produced. 6 Self Test Knowledge of Calculus For Question # 1, refer to the graph shown below. Total Product Curve Time spent studying 1. You are taking a calculus course. The graph above shows the relationship between the time spent studying calculus (input) and knowledge of calculus (output). Based on the graph, you can see that … a. b. c. d. e. studying calculus is characterized by increasing marginal returns. studying calculus is characterized by diminishing marginal returns. studying calculus is characterized by constant marginal returns. studying calculus has a synergistic effect on calculus knowledge. the slope of the studying production curve is constant. 2. A hat maker pays $500 per month in rent for his production facility. This cost is best described as … a. b. c. d. e. an opportunity cost. an external cost. a variable cost. a fixed cost. a marginal cost. 3. Jim decides to start a business manufacturing toothpaste. Which of the following would be included in the accounting costs of the undertaking? a. $100,000 of Jim's own money that he invests to start up the business. b. Interest Jim could have made if he put the $100,000 into a savings account instead. c. Money Jim could make if he got a job at a local shampoo factory instead. d. Costs of toothpaste ingredients Jim needs to purchase each week. e. Both a and d are true. 7 For Question #4, refer to the graph shown below. Egg production C Total Product Curve B A # of chickens 4. Babette’s Barn produces eggs. The production function for Babette’s Barn is shown above. Based on the graph (not on your knowledge of chicken biology), which of the following statements is likely to be false? a. In region A, there's lots of space in the barn and the chickens are lonely. In this region, adding one additional chicken makes all the chickens happier and more likely to lay eggs. b. In region B, the barn is overcrowded and each additional chicken increases stress, decreasing the number of eggs laid per chicken. c. In region C, the barn is overcrowded and each additional chicken increases stress, decreasing the number of eggs laid per chicken. d. Throughout the range of production shown here, the number of chickens has a positive relationship to egg production. e. Throughout the range of production shown here, the number of chickens has a direct relationship to egg production. Total Cost ($) For Question # 5, refer to the graph shown below. Total cost curve C A B Alfalfa harvest 8 5. The graph above shows the total cost curve for the alfalfa harvest on Alf’s Alfalfa Farm. Based on this graph, which of the following statements about Alf’s Alfalfa Farm must be false? a. b. c. d. e. In region A, marginal costs are increasing. In region B, marginal costs are constant. Total costs increase as production rises. The marginal cost curve is flat in region B. In region A, the production function is characterized by increasing marginal returns. 6. Albert is interested in opening a bicycle repair shop, but to do so will require getting information about other bike shops in the city, getting a permit to open a new business, and interviewing applicants for the positions of shop manager and accounts manager. All of these factors, which will slow down the process considerably, are a. b. c. d. e. extra costs external costs equity costs accounting costs transaction costs 7. Which of the following is an example of external costs? a. Mark purchases 10 books and pays 10% tax on the entire purchase. b. Aurelio sells an acre of land but has to pay to have the land surveyed before the sale is completed. c. Marty opens a chocolate factory and offers free samples to neighborhood children every Friday. d. Gustave buys a new piece of equipment for his factory. e. Georgette operates a noisy machine every morning, and scares away the birds from the local wildlife refuge. 8. Suppose in the short run a factory cannot increase its production output without adding more workers. What term would best describe the workers in this example? a. b. c. d. e. A fixed input An external cost A limiting factor An opportunity cost A marginal product 9 9. You have signed a two-year lease on a building in which you are planning to open a day care center. You have no choice about how much money you spend on rent for the next two years, because you are already committed to this agreement. This is an example of … a. b. c. d. e. a variable input a short run input a long run input a fixed input a marginal input 10. Suppose that adding fertilizer always increases corn growth. The relationship between fertilizer application and corn growth would be a. b. c. d. e. positive direct fixed efficient both a and b are true. 11. Charlie initially leased a one-room space and started a small day care center with only 4 children and one staff member. But he found that the costs per child were very high. When he leased a larger space, and expanded the center to have more children and staff, the cost per child fell. Which of the following factors came into play when Charlie expanded the center? a. b. c. d. e. economies of scale diseconomies of scale increasing returns to the labor inputs decreasing returns to the labor inputs input substitution 12. Which of the following statements is true? a. Long-run average cost is calculated by multiplying marginal cost by the unit of time in question. b. In computing marginal cost, we can ignore fixed costs. c. Constant returns to scale result from increasing marginal returns to production. d. Diseconomies of scale occur when long-run average cost declines with rising output. e. Increasing factory size always leads to decreasing marginal costs. 10 Long-Run Average Cost ($) Questions 13 to 16 refer to the following graph. Long-Run Average Cost Curve C D E A B Quantity of Steel Produced 13. The graph above shows the long-run average cost curve for a steel foundry. On this graph, point A is … a. b. c. d. e. the minimum efficient scale. the maximum efficient scale. the point where economies of scale begin. the point where diseconomies of scale begin. the optimal level of output. 14. The region marked D is characterized by … a. b. c. d. e. economies of scale. increasing returns to scale. constant returns to scale. diseconomies of scale. maximum average long-run cost. 15. Which of the following statements is true regarding the graph? a. Returns to scale are constant throughout. b. As production increases, the amount used of all inputs--including the quantity of labor and the size of the factory--increases. c. In region E, there isn’t enough space for all the workers required to produce at this level and they are getting in one another’s way. d. The minimum efficient scale is at a production level of zero. e. The maximum efficient scale is marked by point A. 11 16. Which of the points or regions on this graph is associated with diseconomies of scale? a. b. c. d. e. A B C D E 17. A self-employed accountant spends a lot of money identifying clients and advertising her services. These activities are an example of … a. b. c. d. e. external costs transaction costs fixed inputs marginal returns opportunity costs 18. In economics, the “long run” is a time period in which … a. b. c. d. e. all inputs are variable. all inputs are paid for. all outputs are determined. all loans are repaid. all interest is paid. 19. In the case of constant marginal costs, the total cost curve will be … a. b. c. d. e. a flat line a straight line sloping upward a straight line sloping downward a curved line sloping upward a curved line sloping downward 20. A production function with diminishing marginal returns … a. b. c. d. e. can continue to slope upward indefinitely. is very unlikely in the real world. is quite common in the real world. must eventually display increasing marginal returns. Both B and D 12 Answers to Active Review Questions 1. external 2. accounting 3. variable 4. production function or total product curve 5. limiting 6. average 7. increasing 8. diseconomies 9. substitution 10. True. 11. True. 12. True. 13. False. Economies of scale are present when long-run average cost declines with increasing output capacity. 14. False. 15. False. This is a fixed cost. 16. True. 17. A project that hires people who would otherwise be unemployed, and pays them the legal minimum wage or union negotiated wage, has economic costs below the accounting costs because it is bringing otherwise unused resources into valuable activity. 18. Economic cost is a better guide, because it takes into account the real value of whatever is given up in order to undertake the project. 19. The resulting line is curved, because marginal returns diminish with increasing time spent studying. 20. Fixed cost is the cost associated with using fixed inputs, which is the same no matter what quantity of output is produced. For example, if you have signed a lease on a factory building, you have to pay the same amount each month regardless of what you produce. A variable cost is the cost of using variable inputs (e.g. raw materials, energy, labor), which rise with quantity of output. Answers to Problems Number of Haircuts Haircuts per hour 1. Total Product Curve Number of Hairdressers # of hairdressers 13 2. a. 2 2. b. constant 2. c. 1004 Total Product Curve 1003 1002 1001 1000 999 998 499 500 501 502 Quantity of Workers 3. The completed table is: Quantity of Variable Input: Labor Quantity of Output: Calls 0 1 2 3 0 100 180 240 a. Marginal Return to Additional Labor -100 80 60 b. Fixed Cost ($) c. Variable Cost ($) d. Total Cost ($) $50 $50 $50 $50 0 $80 $160 $240 $50 $130 $210 $290 Umbrellas Quantity of Umbrellas 4. a. Total product curve Range of increasing returns Range of constant returns Quantity of Labor Labor 14 4. b. Total Cost Total cost curve Range of decreasing marginal cost Range of constant marginal cost Umbrellasof Umbrellas Quantity Cost Total Cost 4. c. Range of decreasing marginal cost Range of constant marginal cost Marginal cost curve Umbrellas Quantity of Umbrellas 5. a. Number of Weeks worked 1 2 3 4 5 6 7 Marginal return to additional week of work (number of chairs) 3 2 1 1 1 1 ½ Total Quantity of Chairs Produced 3 5 6 7 8 9 9 1/2 # of Chairs 5.b. 10 9 8 7 6 5 4 3 2 1 0 Total Product Curve 1 2 3 4 5 6 7 Weeks worked 15 Answers to Self Test Questions 1. b 2. d 3. e 4. b 5. a 6. e 7. e 8. c 9. d 10. e 11. a 12. b 13. a 14. c 15. b 16. e 17. b 18. a 19. b 20. c 16