Waterways has discovered that a small fitting it now manufactures at a unit cost of $$1\mathrm{.}00$ could be bought elsewhere for $$0\mathrm{.}82$ per unit. Waterways has unit fixed manufacturing costs of $$0\mathrm{.}20$ that cannot be eliminated by buying this unit. Waterways needs $461,000$ of these units each year.

If Waterways decides to buy rather than produce the small fitting, it can devote the machinery and labor to making a timing unit it now buys from another company. Waterways uses approximately $400$ of these units each year. The cost of the unit is $$12\mathrm{.}61.$ To aid in the production of this unit, Waterways would need to purchase a new machine at a cost of $$2,355,$ and the unit cost of producing the units would be $$10\mathrm{.}40.$

$($a$)$

Your answer is partially correct.

Without considering the possibility of making the timing unit, evaluate whether Waterways should buy or continue to make the small fitting.

The company should the fitting. Incremental cost $/($savings$)$ will be $