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Module 13

Module 13. The Short Run Production Function. Objectives. Define a production function, define the three concepts of production–total product, average product, and marginal product, know how to calculate these production variables and be able to graph the product curves. Objectives.

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Module 13

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  1. Module 13 The Short Run Production Function

  2. Objectives • Define a production function, define the three concepts of production–total product, average product, and marginal product, know how to calculate these production variables and be able to graph the product curves.

  3. Objectives • Define a production function, define the three concepts of production–total product, marginal product, and average product, know how to calculate these production variables and be able to graph the product curves. • Define the law of diminishing marginal returns and understand its significance.

  4. Objectives • Define a production function, define the three concepts of production–total product, marginal product, and average product, know how to calculate these production variables and be able to graph the product curves. • Define the law of diminishing marginal returns and understand its significance. • Understand the relationship between marginalproductand average product.

  5. Objective 1: Define aproduction function … • A production function is the relationship between the quantities of various inputs used and the maximum quantity that can be produced per period of time. 5

  6. Objective 1: Define aproduction function … • A production function is the relationship between the quantities of various inputs used and the maximum quantity that can be produced per period of time. • For example, the production function for producing bread can be expressed as: Q = f (labor, capital, flour, sugar...) 6

  7. Objective 1: Define aproduction function … • In this module, we will use a simple two-inputproduction function which can be expressed as: Q = f (L, K) where Q = total product or output, L = labor and K = capital 7

  8. Objective 1: Define aproduction function … • In this module, we will use a simple two-inputproduction function which can be expressed as: Q = f (L, K) where Q = total product or output, L = labor and K = capital • Recall that in the short run, at least one factor is fixed. So a short run production function must reflect this. 8

  9. Objective 1: Define aproduction function … • In this module, we will use a simple two-inputproduction function which can be expressed as: Q = f (L, K) where Q = total product or output, L = labor and K = capital. • Recall that in the short run, at least one factor is fixed. So a short run production function must reflect this. • For example, 9

  10. Objective 1: … three concepts of total product 1. Total product of labor (TPL) This is simply the total output produced by labor, holding capital fixed. Total product is also called output. 10

  11. Objective 1: … three concepts of total product 1. Total product of labor (TPL) This is simply the total output produced by labor, holding capital fixed. Total product is also called output. 2. Average product (APL) = Q/L The average product of labor or average output is the commonly used measure of productivity. 11

  12. Objective 1: … three concepts of total product 1. Total product of labor (TPL) This is simply the total output produced by labor, holding capital fixed. Total product is also called output. 2. Average product (APL) = Q/L The average product of labor or average output is the commonly used measure of productivity. 3. Marginal product (MPL) = ∆Q/∆L It is defined as the additional output produced when the firm hires one more unit of labor input, holding capital fixed. 12

  13. Objective 1: … three concepts of total product Example:The Acme Box Company produces wooden boxes using two inputs, L and K. Capital (K) is fixed at K0. The total product schedule is given below. 13

  14. Columns (1) and (2) of the Table represent the total product schedule. Graphing this data gives the total product curve. The total product curve is also called the graph of the short run production function. 14

  15. Example: Calculating average product 15

  16. Example: Calculating marginal product 16

  17. Example: Calculating marginal product 17

  18. The Acme Box Company Increasing Marginal Returns 18

  19. The Acme Box Company Increasing Marginal Returns Diminishing Marginal Returns 19

  20. The Acme Box Company Increasing Marginal Returns Diminishing Marginal Returns Negative Marginal Returns 20

  21. The total product curve is also called the graph of the short run production function. 21

  22. Objective 2 Define the law of diminishing marginal returns and understand its significance • Thelaw of diminishing marginal returns states that in the presence of a fixed factor, after some point, equal increments in a variable input will increase output by a progressively smaller amount. 22

  23. Objective 2 Define the law of diminishing marginal returns and understand its significance • Thelaw of diminishing marginal returns states that in the presence of a fixed factor, after some point, equal increments in a variable input will increase output by a progressively smaller amount. • The law of diminishing marginal returns applies only in the short run where there is a fixed input. 23

  24. Based on the marginal product column in the Table, we can identify three distinct regions of Acme’s production function: increasing marginal returns followed by diminishing marginal returns and finally negative marginal returns. 24

  25. Based on the marginal product column in the Table, we can identify three distinct regions of Acme’s production function: increasing marginal returns followed by diminishing marginal returns and finally negative marginal returns. • The region of economic interest is the segment that displays diminishing marginal returns. 25

  26. Objective 3 Understand the relationship between marginal product and average product 26

  27. Objective 3 Understand the relationship between marginal product and average product • Suppose 20 students take an Economics exam and the average score is 80%.Then one more student, Rose, takes the exam. 27

  28. Objective 3 Understand the relationship between marginal product and average product • Suppose 20 students take an Economics exam and the average score is 80%.Then one more student, Rose, takes the exam. • If Rose scores 87% and if I re-calculate the class average (based on 21 students), what happens to the average score? It will be greater than 80%. 28

  29. Objective 3 Understand the relationship between marginal product and average product • Suppose 20 students take an Economics exam and the average score is 80%.Then one more student, Rose, takes the exam. • If Rose scores 87% and if I re-calculate the class average (based on 21 students), what happens to the average score? It will be greater than 80%. • If Rose scores 74%, what happens to the class average now? It will be less than 80%. 29

  30. Objective 3 Understand the relationship between marginal product and average product • Suppose 20 students take an Economics exam and the average score is 80%.Then one more student, Rose, takes the exam. • If Rose scores 87% and if I re-calculate the class average (based on 21 students), what happens to the average score? It will be greater than 80%. • If Rose scores 74%, what happens to the class average now? It will be less than 80%. • If Rose scored 80%, what happens to the class average? It will remain at 80%. 30

  31. Objective 3: The marginal-average relationship • The general marginal-average relationship is: 31

  32. Objective 3: The marginal-average relationship • The general marginal-average relationship is: • When the marginal value is below the average value, it pulls the average value down. 32

  33. Objective 3: The marginal-average relationship • The general marginal-average relationship is: • When the marginal value is below the average value, it pulls the average value down. • When the marginal value is above the average value, it pulls the average value up. 33

  34. Objective 3: The marginal-average relationship • The general marginal-average relationship is: • When the marginal value is below the average value, it pulls the average value down. • When the marginal value is above the average value, it pulls the average value up. • When the marginal value equalsthe average value, the average value is constant. 34

  35. Objective 3: The marginal-average relationship Between 1 and 4 units of labor, the marginal product lies above the average product, and average product is increasing. Marginal product is falling but it is still above average product. 35

  36. Objective 3: The marginal-average relationship Between the 5th and the 11th unit of labor, marginal product lies below the average product and average product is falling. 36

  37. Objective 3: The marginal - average relationship Diminishing marginal returns set in after the 3rd unit of labor where marginal product reaches a maximum. 37

  38. Objective 3: … marginal product curve From the 4th to the 9th unit of labor marginal product is positive but it is diminishing. 38

  39. End of Module 13 The Short Run Production Function Song: The Moneymaker Album: The Moneymaker Artist: Rilo Kiley

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