JL $53$ Bob's Bumpers has a repetitive manufacturing facily in Kentucky that makes automobile bumpers and other aufo body parts. The lacily operates $330$ days per year and has annual dernand of $54,000$ bumpers Thery can produce up io $455$ bumpers each day it costs $555$ lo set up the production line to produce bumpers. The cost of each bumper is $5144$ and annual holding costs are $535$ per unt. Setup labor cost is $$22$ per hour.

What is the optimal size of the production run for bumpers? $($Display your answer to the nearest whole numbet.$)$

Based on your answer to the previous question, and assuming the manufacturer holds no safety stock. what would be the average inventory for these bumpers? $($Display your answer to the nearest whole number$)$

Based on your answat two questions bsck$,$ how many produchicn runs will be recured each year to satisty demand? HINT. As a general rule, whenever caiculating a value that is based on previous calculations in Excet, ahways be stre to tuse cell references father than a rounded value as a caiculation input. $($Display your answer to the appropriate whole number.$)$

Suppose the customer $($an auto manufacturer$)$ Wants to purchase in lots of $330$ and that Boo's Bumpers is able to reduce setup costs to the point where $390$ is now the optimal production run quantity. How much will they save in annual holding costs with this new lower production quantity? $($Display your answer to two decimal places.$)$

How much will they save in annual selup costs with this new iower producton quantity? $($Desplay your answer to two decimal places.$)$