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Firms and Production

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The documents covers the following topics productions, short-run production, long-run production and return to scale. It clearly explains and defines the concepts and provides some helpful examples to understand the concepts. It includes equations and graphs.

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March 25, 2021
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Written in
2020/2021
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Professor jan van heerden
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Microeconomics- Topic: Firms and Production
Learning outcomes in this topic:
1. Productions - Firms converts inputs/factors of production into output using
all available technologies.
2. Short-Run Production - One input/factor is variable and One fixed input –
In the short, one factor is varies, in order to allow the firm to change output
by adjusting that variable input.
3. Long-Run Production: Two inputs/factors are variable. In this case, the firm
has more flexibility in how it produces and how it changes its level of
output in the long- run when all factors are varied.
4. Returns to Scale: How the ratio of output to input varies/changes with the
size of the firm is an important factor in determining the size of a firm.
Production
 A firm uses a technology or what known as production process to transform
inputs or factors of production into outputs. Those inputs/factors are as
follows:
- Capital (K) – This includes land, buildings (factories, stores), and equipment (machines,
trucks).
- Labour (L) – This include people like managers, skilled workers (
architects, economists, engineers, plumbers) and less-skilled workers
(custodians, construction labourers etc)
- Materials (M) – This may include raw goods (oil, water, wheat) and
processed products.
The output can be either a service or physical product.


Productions Functions
 Production function - Shows the relationship between the quantities of
inputs used and the maximum quality of output that can be produced,
given current knowledge about technology and organization.
 The production function for a firm that uses only labour and capital is:
𝑞 = 𝑓 (𝐿, 𝐾 ), 1

, 𝑤ℎ𝑒𝑟𝑒 𝑞 𝑢𝑛𝑖𝑡𝑠 𝑜𝑓 𝑜𝑢𝑡𝑝𝑢𝑡 (𝑤𝑟𝑎𝑝𝑝𝑒𝑑 𝑐𝑎𝑛𝑑𝑦 𝑏𝑎𝑟𝑠) 𝑎𝑟𝑒 𝑝𝑟𝑜𝑑𝑢𝑐𝑒𝑑.
𝐿 𝑟𝑒𝑝𝑟𝑒𝑠𝑒𝑛𝑡𝑠 𝑢𝑛𝑖𝑡𝑠 𝑜𝑓 𝑙𝑎𝑏𝑜𝑢𝑟 𝑎𝑛𝑑 𝐾 𝑢𝑛𝑖𝑡𝑠 𝑜𝑓 𝑐𝑎𝑝𝑖𝑡𝑎𝑙
 The production function only shows the maximum amount of output that
can be produced from given levels of labour and capital.
Time and the Variability of Inputs
 Short run –A period of time so brief that at least one factor of production
cannot be varied practically.
 Fixed input – A factor of production that cannot be varied practically in the
short run.
 Variable input – A factor of production whose quantity can be
changed/varied by the firm during the relevant period.
 Lon run - A lengthy enough period of time that all inputs can be
varied/changed.
Short-Run Production: One Variable and One fixed input
 In the short, we assume that capital (K) is a fixed input and labour (L) is a
variable input.
 In this case the firm increase output only by increasing the amount of
labour it uses.
Production Function in the short run is:

……………………………… 2

- q is output, L is workers, and is the fixed number of capital.
- Example, we consider that a firm assembles computers for a
manufacturing firm supplies it with the necessary parts, such as
computer chips and disk drives.
Total Product
 The relationship between output or total production and labour can be
illustrated by using equation 2 or table 1.
 Table 1 below shows the relationship between output and labour when
capital is fixed for a firm.
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