3.1: Production Function and Costs
Production: Converting Inputs Into Output
To Earn Profit, Firms Must Make Products (output)
Input (aka factor): A Resource Used To Make Output
Ours Will Always Be Workers In Today’s Examples
Total Physical Product (TP): Total Output Or Quantity Produced
Marginal Product (MP): The Additional Output Generated By Additional Inputs (workers)
Marginal Product = [change In Total Product]/[change In Inputs]
Average Product (AP): The Output Per Unit Of Input
Average Product = [total Product]/[units Of Labor]
Fixed Vs Variable
Fixed Resource: A Resource That Doesn’t Change With The Quantity Produced
Eg. Tables, Scissors, Staplers
Variable Resource: A Resource That Does Change With The Quantity Produced
Eg. Workers, Papers, Staples
Law Of Diminishing Marginal Returns: As Variable Resources (workers) Are Added To Fixed Resources (ovens, Machinery, Tools, Etc.), The Additional Output Produced From Each Additional Worker Will Eventually Fall
The Three Stages Of Returns
Increasing Marginal Returns
Decreasing Marginal Returns
Negative Marginal Returns
Not A Specific Amount Of Time
Short-run: The Period In Which At Least One Resource Is Fixed
Eg. Capacity/size Is Not Changeable
Long-run: The Period In Which All Resources Are Variable
No Fixed Resources
Eg. Capacity/size Is Changeable
Total Costs
FC: Total Fixed Costs
VC: Total Variable Costs
TC: Total Costs
Per Unit Costs
AFC: Average Fixed Costs
AVC: Average Variable Costs
ATC: Average Total Costs
MC: Marginal Cost
Fixed Cost: The Cost For Fixed Resources That Don’t Change With The Amount Produced
Eg. Rent, Insurance, Salaries
Average Fixed Cost = [fixed Cost]/[quantity]
Variable Cost: The Cost For Variable Resources That Do Change With The Amount Produced
Eg. Raw Materials, Labor, Electricity
Average Variable Cost = [variable Cost]/[quantity]
Total Cost: The Sum Of Fixed And Variable Costs
Average Total Cost = [total Cost]/[quantity]
Marginal Cost: The Additional Costs Of An Additional Output
Eg. If The Production Of Two More Units Of Output Increases Total Cost From $100 To $120, The Marginal Cost Is $10
Marginal Cost = [change In Total Costs]/[change In Quantity]
Not A Specific Amount Of Time
Short-run: The Period In Which At Least One Resource Is Fixed
Eg. Capacity/size Is Not Changeable
Long-run: The Period In Which All Resources Are Variable
No Fixed Resources
Eg. Capacity/size Is Changeable
Used For Planning So That Firms Can Identify Which Size Factory Results In The Lowest Per-unit Cost
Three Things That Can Occur To Input
increasing Returns To Scale — Output More Than Doubles
constant Returns To Scale — Output Exactly Doubles
The Long-run Average Total Cost Is As Low As It Can Get
decreasing Returns To Scale — Output Less Than Doubles
“returns To Scale” Only Looks At Production, Not Costs
The Long Run ATC Curve Is Made Up Of All The Different Short Run ATC Curves Of Various Plant Sizes
Firms That Produce More Can Better Use mass Production Techniques And specialization
Eg. A Car Company That Makes 50 Cars Will Have A Very High Average Cost Per Car
A Car Company That Can Produce 100,000 Cars Will Have A Low Average Cost Per Car
Using Mass Production Techniques, Like Robots, Will Cause Total Cost To Be Higher But The Average Cost For Each Car Will Be Significantly Lower
Long-run Average Cost Falls Because Mass Production Techniques Are Used
diseconomies Of Scale: Long-run Average Costs Increase As The Firm Becomes Too Large And Difficult To Manage [decreasing Returns To Scale]
Big Idea — The Law Of Diminishing Marginal Returns Doesn’t Apply In The Long Run Because There Are No Fixed Resources.
Production: Converting Inputs Into Output
To Earn Profit, Firms Must Make Products (output)
Input (aka factor): A Resource Used To Make Output
Ours Will Always Be Workers In Today’s Examples
Total Physical Product (TP): Total Output Or Quantity Produced
Marginal Product (MP): The Additional Output Generated By Additional Inputs (workers)
Marginal Product = [change In Total Product]/[change In Inputs]
Average Product (AP): The Output Per Unit Of Input
Average Product = [total Product]/[units Of Labor]
Fixed Vs Variable
Fixed Resource: A Resource That Doesn’t Change With The Quantity Produced
Eg. Tables, Scissors, Staplers
Variable Resource: A Resource That Does Change With The Quantity Produced
Eg. Workers, Papers, Staples
Law Of Diminishing Marginal Returns: As Variable Resources (workers) Are Added To Fixed Resources (ovens, Machinery, Tools, Etc.), The Additional Output Produced From Each Additional Worker Will Eventually Fall
The Three Stages Of Returns
Increasing Marginal Returns
Decreasing Marginal Returns
Negative Marginal Returns
Not A Specific Amount Of Time
Short-run: The Period In Which At Least One Resource Is Fixed
Eg. Capacity/size Is Not Changeable
Long-run: The Period In Which All Resources Are Variable
No Fixed Resources
Eg. Capacity/size Is Changeable
Total Costs
FC: Total Fixed Costs
VC: Total Variable Costs
TC: Total Costs
Per Unit Costs
AFC: Average Fixed Costs
AVC: Average Variable Costs
ATC: Average Total Costs
MC: Marginal Cost
Fixed Cost: The Cost For Fixed Resources That Don’t Change With The Amount Produced
Eg. Rent, Insurance, Salaries
Average Fixed Cost = [fixed Cost]/[quantity]
Variable Cost: The Cost For Variable Resources That Do Change With The Amount Produced
Eg. Raw Materials, Labor, Electricity
Average Variable Cost = [variable Cost]/[quantity]
Total Cost: The Sum Of Fixed And Variable Costs
Average Total Cost = [total Cost]/[quantity]
Marginal Cost: The Additional Costs Of An Additional Output
Eg. If The Production Of Two More Units Of Output Increases Total Cost From $100 To $120, The Marginal Cost Is $10
Marginal Cost = [change In Total Costs]/[change In Quantity]
Not A Specific Amount Of Time
Short-run: The Period In Which At Least One Resource Is Fixed
Eg. Capacity/size Is Not Changeable
Long-run: The Period In Which All Resources Are Variable
No Fixed Resources
Eg. Capacity/size Is Changeable
Used For Planning So That Firms Can Identify Which Size Factory Results In The Lowest Per-unit Cost
Three Things That Can Occur To Input
increasing Returns To Scale — Output More Than Doubles
constant Returns To Scale — Output Exactly Doubles
The Long-run Average Total Cost Is As Low As It Can Get
decreasing Returns To Scale — Output Less Than Doubles
“returns To Scale” Only Looks At Production, Not Costs
The Long Run ATC Curve Is Made Up Of All The Different Short Run ATC Curves Of Various Plant Sizes
Firms That Produce More Can Better Use mass Production Techniques And specialization
Eg. A Car Company That Makes 50 Cars Will Have A Very High Average Cost Per Car
A Car Company That Can Produce 100,000 Cars Will Have A Low Average Cost Per Car
Using Mass Production Techniques, Like Robots, Will Cause Total Cost To Be Higher But The Average Cost For Each Car Will Be Significantly Lower
Long-run Average Cost Falls Because Mass Production Techniques Are Used
diseconomies Of Scale: Long-run Average Costs Increase As The Firm Becomes Too Large And Difficult To Manage [decreasing Returns To Scale]
Big Idea — The Law Of Diminishing Marginal Returns Doesn’t Apply In The Long Run Because There Are No Fixed Resources.