Good X is produced in a competitive market using input A$.$ Explain what would happen to the supply of good X in each of the following situations:

$($A$)$ The price of input A decreases$($B$)$ A subsidy of $ $5$ is given to the producers of good X

$($C$)$ A previously imposed valorem tax on good X is reduced by $10\%$

$($D$)$ A technological change increases the cost of producing additional units of good X