Understanding Economics 3rd edition by Mark Lovewell, Khoa Nguyen and Brennan Thompson Chapter 4 Costs of Production Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 1 Learning Objectives In this chapter you will: 1. 2. 3. 4. learn about economic costs (explicit and implicit) of production and economic profit analyze short-run (total, average, and marginal) products, and the law of diminishing marginal returns derive short-run (total, average, and marginal) costs examine long-run results of production (increasing returns to scale, constant to scale, and decreasing to scale) and long-run costs Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 2 T 2, Production in the Short Run (a) In the short run • some inputs (such as capital) are fixed • other inputs (such as labour) are variable Inputs are combined to make a business’s total product • Total product: the overall quantity of output produced with a given workforce • average product is total product divided by the number of workers • marginal product is the extra total product with an additional worker Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 3 Average product = total product (q) number of workers (L) Marginal product = change in total product (Δ q) change in workforce (Δ L) Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 4 Total chairs made 1st person 3 chairs 2nd person 7 chairs 3rd person 12 chairs Average Product Marginal Product Total Product One reason that the marginal product increases can be that teamwork fosters productivity. Also, with more people, delegation of tasks is possible, leading to an increase in productivity. What happens if you have a group of 20 students all working on the same project. Do you think that the productivity will increase, decrease or will be the same? Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 5 Total chairs made Average Product Marginal Product Total Product 1st person 3 chairs 3 3 3 2nd person 7 chairs 3.5 4 7 3rd person 12 chairs 4 5 12 One reason that the marginal product increases can be that teamwork fosters productivity. Also, with more people, delegation of tasks is possible, leading to an increase in productivity. What happens if you have a group of 20 students all working on the same project. Do you think that the productivity will increase, decrease or will be the same? Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 6 The Law of Diminishing Marginal Returns Short-run production is determined by the law of diminishing marginal returns the law of diminishing marginal returns: • At some point, as more units of a variable input are added to a fixed input, the marginal product will start to decrease average product also falls after some point Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 7 Relationship between marginal product and average product Marginal Test 1 Test 2 Test 3 80marks 90marks 80marks Test 1 Test 2 Test 3 80marks 90marks 85marks Test 1 Test 2 Test 3 80 marks 90marks 88marks Average Marginal Average Marginal Average Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 8 Relationship between marginal product and average product Test 1 Test 2 Test 3 Marginal 80marks 90marks 80marks Average 80 85 83.333 Test 1 Test 2 Test 3 Marginal 80marks 90marks 85marks Average 80 85 85 Test 1 Test 2 Test 3 Marginal 80 marks 90marks 88marks Average 80 85 86 Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 9 Focusing on the test 3 column, why do you see the average differ in all three cases? What seems to be the relationship between the marginal mark and the average mark? (Refer to Excel) Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 10 Relating Average and Marginal Values Average and marginal values are related using three rules • • • if an average value rises then the marginal value must be above the average value if an average value falls then the marginal value must be below the average value if an average value stays constant then the marginal value must equal the average value Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 11 Total, Marginal, and Average Products Total Product (q) (workers (T-shirts per day) per day) 0 0 1 80 2 200 3 250 4 270 5 280 6 270 Marginal Product (Δq/ΔL) (T-shirts per day) 80 120 50 20 10 -10 Average Product (q/L) (T-shirts per day) 80 100 83.3 67.5 56 45 300 250 TP 200 150 100 50 0 -- 1 2 3 4 5 6 Number of Workers Employed per Day T-Shirts Produced per Day Labour (L) T-Shirts Produced per Day Figure 4.2, Page 89 and Figure 4.3, Page 91 Diminishing returns set in 120 100 80 60 AP 40 20 0 -20 1 2 3 4 5 6 MP Number of Workers Employed per Day Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 12 Whether the marginal product curve is itself sloping upward or downward is irrelevant If an additional worker is to raise the average product of all workers, that additional worker's output must be greater than the average output of all the other workers. Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 13 It is immaterial whether the new worker's contribution to output is greater or less than the contribution of the previous worker hired immediately before; all that matters it that the new worker's contribution to output exceeds the average output of all workers hired previously Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 14 As we can see, although MP is going down, the AP does not go down until MP is below the AP Diminishing returns set in 120 T-Shirts Produced per Day 100 80 60 AP 40 20 0 -20 1 2 3 4 5 6 MP Number of Workers Employed per Day Copyright © 2005 by McGraw-Hill Ryerson Limited. All rights reserved. 15