The fastener division of Sunland Fasteners manufactures zippers and then sells them to customers for $$7\mathrm{.}23$ per unit. Its unit variable cost is $$2\mathrm{.}72,$ and its unit fixed cost is $$1\mathrm{.}89.$ Management would like the fastener division to transfer $12,300$ of these zippers to another division within the company at a price of $$2\mathrm{.}72.$ The fastener division could avoid $$0\mathrm{.}29$ 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 $52\mathrm{.}43$