$($Q$2)$ What effect will each of the following have on the supply of auto tires?

$(7)$

$($a$)$ A technological advance in the methods of producing tires

$($b$)$ A decline in the number of firms in the tire industry

$($c$)$ An increase in the prices of rubber used in the production of tires

$($d$)$ A decline in the price of the large tires used for semi$-$trucks and earth$-$hauling rigs $($with no change in the price of auto tires$)$

$($e$)$ The levying of a per$-$unit tax on each auto tire sold.