Blue Spruce Service Center just purchased an automobile hoist for $$17,100.$ The hoist has a $5-$year life and an estimated salvage value

of $$1,270.$ Installation costs were $$3,790,$ and freight charges were $$980.$ Blue Spruce uses straight$-$line depreciation.

The new hoist will be used to replace mufflers on automobiles. Blue Spruce estimates that the new hoist will enable his mechanics to

replace four extra mufflers per week. Each muffler sells for $$85$ installed. The cost of a muffler is $$46,$ and the labor cost to install a

muffler is $$13.$

$($a$)$

Compute the payback period for the new hoist. $($Round answer to $1$ decimal place, e$.$g$.1\mathrm{.}2.)$

Cash payback period

years