Inputs and Costs, Lecture notes of Decision Making

The total product curve shows how the quantity of output depends on the quantity of one variable input, for a given quantity of other inputs.

Typology: Lecture notes

2022/2023

Uploaded on 03/01/2023

shekhar_hin
shekhar_hin 🇺🇸

4.9

(9)

226 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
1
Inputs and Costs
Inputs and Costs
September 21, 2006
Reading: Chapter 8
Begin examination of how firms make decisions using the
principles of individual decision making (marginal costs and
benefits)
First we examine relation between inputs and outputs
Second we examine costs and marginal (and other) costs
Next topic: Marginal benefits for the firm and how they decide
how much to produce 2
Inputs and Costs
a.Production function
How inputs and outputs are related
Diminishing returns
b.Cost function and cost curve
Total cost
How cost function is related to production
function
c. Marginal and average cost
d.Short-run and long-run costs and returns to scale
3
Production Function
Definitions
Production function: relationship between the quantity
of inputs a firm uses and the quantity of output it
produces.
Inputs are of two types:
Fixed input: an input whose quantity is fixed and cannot
be varied in the relevant time preriod.
Variable input: an input whose quantity the firm can vary
in the relevant time period.
Time periods:
Short run: time period in which at least one input is fixed.
Long run: time period in which all inputs can be varied.
Why? Some things take longer to change than others
Why? Some things take longer to change than others
4
Production Function
Total product curve
The total product curve shows how the quantity of output
depends on the quantity of one variable input, for a given
quantity of other inputs.
Assume:
firm produces one product
with two inputs, labor and land
amount of land held constant
So labor is variable input and land is fixed input
5
Production Function
Total product curve, cont.
Diminishing returns
6
The marginal product of an input is the additional quantity of
output that is produced by using one more unit of that input.
The marginal product of labor is the additional quantity of
output produced by using one more unit of labor.
Production Function
Marginal Product
We have diminishing returns to an input when an increase
in the quantity of that input, holding the levels of all other
inputs fixed, leads to a decline in the marginal product of that
input.
Marginal product can be negative total product falls as input
increased.
pf3
pf4

Partial preview of the text

Download Inputs and Costs and more Lecture notes Decision Making in PDF only on Docsity!

Inputs and Costs Inputs and Costs

September 21, 2006

Reading: Chapter 8

Begin examination of how firms make decisions using the principles of individual decision making (marginal costs and benefits)

First we examine relation between inputs and outputs

Second we examine costs and marginal (and other) costs

Next topic: Marginal benefits for the firm and how they decide how much to produce 2

Inputs and Costs

a. Production function

„ How inputs and outputs are related

„ Diminishing returns

b. Cost function and cost curve

„ Total cost

„ How cost function is related to production

function

c. Marginal and average cost

d. Short-run and long-run costs and returns to scale

3

Production Function

Definitions

Production function: relationship between the quantity of inputs a firm uses and the quantity of output it produces.

Inputs are of two types: Fixed input: an input whose quantity is fixed and cannot be varied in the relevant time preriod. Variable input: an input whose quantity the firm can vary in the relevant time period.

Time periods : Short run: time period in which at least one input is fixed. Long run: time period in which all inputs can be varied. Why?Why? Some things take longer to change than othersSome things take longer to change than others

4

Production Function

Total product curve

The total product curve shows how the quantity of output depends on the quantity of one variable input, for a given quantity of other inputs.

Assume : „ firm produces one product „ with two inputs, labor and land „ amount of land held constant So labor is variable input and land is fixed input

5

Production Function

Total product curve, cont.

Diminishing returns

6

The marginal product of an input is the additional quantity of output that is produced by using one more unit of that input. The marginal product of labor is the additional quantity of output produced by using one more unit of labor.

Production Function

Marginal Product

We have diminishing returns to an input when an increase in the quantity of that input, holding the levels of all other inputs fixed, leads to a decline in the marginal product of that input. Marginal product can be negative – total product falls as input increased.

7

Production Function

Marginal Product of Labor Curve

8

Production Function

Shifts in total and marginal product curves

The total and marginal product curves for labor shift when:

  1. Amount of other (fixed) factor changes
  2. Technology changes

9

Cost

Definitions

„ Fixed cost : cost that does not depend on the

quantity of output produced. It is the cost of fixed

inputs.

„ In our example, it is the cost of land

„ Variable cost : cost that depends on the

quantity of output produced. It is the cost of

variable inputs for any level of output.

„ In our example, it is the cost of labor

„ Total cost : Fixed cost + Variable cost

„ TC = FC + VC

„ The relation between output and costs is called

the total cost function and shown with a total

cost curve.

10

Cost

Total Cost Curve

The total cost curve shows how total cost depends on output. Slope increases due to diminishing returns to labor

11

Cost

From total product curve to total cost curve

output

labor

Total product curve

output

labor

output

Cost = labor x wage

Variable cost

output

Cost

Variable cost

Total cost

Fixed cost 12

Marginal and Average Cost

Marginal Cost

19

There is a trade-off between higher fixed cost and lower variable cost for any given output level, and vice versa.

But as output goes up, average total cost is lower with the higher amount of fixed cost.

SR and LR Costs

Changes in fixed costs

20

Long-run average total cost curve shows relationship between output and average total cost when fixed cost has been chosen to minimize average total cost for each level of output, by choosing the appropriate amount of the fixed factor(s)

Short-run and Long-run Costs

Long-Run Average Total Cost Curve

Not the minimum point of each SR ATC, but lower envelope

21

Short-Run and Long-Run Average

Total Cost Curves

22

Short-run and Long-Run Costs

Economies and Diseconomies of Scale

¾ There are economies of scale when long-run

average total cost declines as output increases.

¾ Specialization (division of labor) at higher levels of output

¾ There are diseconomies of scale when long-

run average total cost increases as output

increases.

¾ Problems of coordination and communication

¾ There are constant returns to scale when

long-run average total cost is constant as output

increases.

¾ ¾ ReplicationReplication