Specialty Smells, Inc. uses a four$-$step process to manufacture their super$-$luxurious "Essence of Luxury"$$brand of perfume. The process consists of $($A$)$ measuring the ingredients, $($B$)$ mixing the ingredients, $($C$)$ filling the bottle, and $($D$)$ putting the lid on the bottle.

Assuming the process starts a shift in steady state, if the fastest step of this process were allowed to constantly produce for an $8$ hour shift, how many more hours$$would the bottleneck step have to work to complete all the WIP produced? $($round your answer to $2$ decimal places$)$

$$

$3$ min$10$ min$8$ min$15$ min

Assuming there is one person per step, and each employee gets paid $6$ dollars per hour, what is the labor cost for $1$ bottle of perfume$$in dollars?$($round your answer to $2$ decimal places$)?$

$16$ min$19$ min$13$ min$16$ min

Type your answer into the box as a number only. Do not enter any non$-$numerical characters. For example, an answer of$122$ doughnuts$$would be entered as $"122".$Note: A shift can$$only produce a whole number of batches $-$no partial batches are allowed.

$$

Setup Time $=12$ minsSetup Time $=23$ minsSetup Time $=46$ mins$$Per unit time $=0\mathrm{.}88$min

$$Per unit time $=0\mathrm{.}97$min

Per unit time $=0\mathrm{.}55$mi

Suppose the batch size is $40$ doughnuts. How many doughnuts can they produce in one eight$-$hour shift?

Type your answer into the box as a number only. Do not enter any non$-$numerical characters. For example, an answer of$122$ doughnuts$$would be entered as $"122".$Note: A shift can$$only produce a whole number of batches $-$no partial batches are allowed.

$$

Setup Time $=12$ minsSetup Time $=23$ minsSetup Time $=46$ mins$$Per unit time $=0\mathrm{.}88$min

$$Per unit time $=0\mathrm{.}97$min

Per unit time $=0\mathrm{.}55$mi