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. The perfume is produced in small batches, and current batch size is $10$ bottles $($which represents a standard box of perfume$).$

What is the lead time $($in hours$)$ for $50$ boxes of perfume? $($Round your answer to $2$ decimal places$)$

Notes:

$1)$ Each process step must complete a full batch of perfume $(10$ bottles$)$ before transferring the batch to the next step. In other words, Step C must fill $10$ bottles, and then those $10$ bottles are all transferred to Step D at the same time.

$2)$ Cycle times listed are per bottle $($not batch$/$box$).$ Step A cycle time is $7$ minutes per bottle, and so forth.

Assumptions:

$1)$ The system is empty upon receipt of the order.

$2)$ Production starts as soon as the order is received.

$4$ step sequential process.png

$7$ min $4$ min $2$ min $2$ min