The fastener division of Wildhorse Fasteners manufactures zippers and then sells them to customers for $$7\mathrm{.}27$ per unit. Its unit variable cost is $$3\mathrm{.}11,$ and its unit fixed cost is $$1\mathrm{.}40.$ Management would like the fastener division to transfer $12,900$ of these zippers to another division within the company at a price of $$3\mathrm{.}11.$ The fastener division could avoid $$0\mathrm{.}34$ per zipper of variable packaging costs by selling internally. Determine the minimum transfer price.

$($a$)$

Assuming the fastener division is not operating at full capacity. $($Round answer to $2$ decimal places $($e$.$g$.,10\mathrm{.}50).)$

Minimum transfer price $

$($b$)$

Assuming the fastener division is operating at full capacity. $($Round answer to $2$ decimal places $($e$.$g$.,10\mathrm{.}50).)$

Minimum transfer price $