Problem
JL.53 Bob's Bumpers has a repetitive manufacturing facility in Kentucky that makes automobile bumpers and other auto body parts. The facility operates 320 days per year and has annual demand of 78,000 bumpers. They can produce up to 420 bumpers each day. It costs $83 to set up the production line to produce bumpers. The cost of each bumper is $98 and annual holding costs are $40 per unit. Setup labor cost is $25 per hour.
Explain in Excel.
1. What is the optimal size of the production run for bumpers? (Display your answer to the nearest whole number.)
2. 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.)
3. Based on your answer two questions back, how many production runs will be required each year to satisfy demand? HINT: As a general rule, whenever calculating a value that is based on previous calculations in Excel, always be sure to use cell references rather than a rounded value as a calculation input. (Display your answer to the appropriate whole number.)
4. Suppose the customer (an auto manufacturer) wants to purchase in lots of 610 and that Bob's Bumpers is able to reduce setup costs to the point where 610 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.)
5. How much will they save in annual setup costs with this new lower production quantity? (Display your answer to two decimal places.)