How does subsidy influence the supply of a good by a firm?

Subsidy can be said as an help from the government ! 
For example if the gas cylinder costs 900 and consumer pays only 450 then the rest 450 is a subsidiary set by the government which the government pays ! 
Subsidy makes the increase in the supply of a good in the market ! 
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how dows subsidy influence the supply of a good by a firm??
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When subsidy is provided to the producer for the production then in results cost of factors of production decreases accordingly producers are induces or encouraged to produce more consequently there is rise in supply which leads to incerase in the profit of the firm .....and here is the flow chart of impact of high subsidy rate and low......👍👍

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