Supply function plan

Price of the factors of production

LAND
LABOUR
CAPITAL
ENTREPRENEURSHIP
Producers have to pay a certain amount in terms of rent, wage and interest in the return of using factors of production. When these prices rise up, producers may want to divert their investment (resources, time and money) in the production of other commodities. As a result, the supply of the product in the market decreases.

Goal of producers

The primary objective of every firm is to earn revenue and maximize profit. 
However, there may be circumstances when firms focus on earning prestige rather than profit.

State of technology

Technology is one of the major components of firms and industries these days.
Advancement in technology has a great impact on the production rate.
It increases the production rate efficiently, and with an increase in the amount of products produced, there will be an increase in the supply of the commodity in the market.

Miscellaneous factors

transportation and communication
natural factors
taxation policy
expectations
All these factors have potential to influence the ability or willingness of producers to offer the product in the market.

What is supply function?

Supply function is a mathematical description of the connection between the quantity required of a service or product, its value and other associated factors such as input costs and related goods prices.
In other words, supply function quantifies the relationship between quantity supplied and price of a product, while keeping the other factors at constant.
The supply function can be expressed as:
Qs = f (Pa, Pb, Pc, T, Tp)
Where, Qs = Supply Pa = Price of the good supplied Pb = Price of other goods Pc = Price of factor input T = Technology Tp = Time Period