a surfboard manufacturing plant is designed for an actual output of 94 boards pe
ID: 431286 • Letter: A
Question
a surfboard manufacturing plant is designed for an actual output of 94 boards per day 5 days per week. as part of the manufacturing process, each board requires a 24 hr curing time to set the fiberglass. each curing oven can accommodate 20 boards at a time, the ovens are operated 3 shifts/day over a 5 day work week but 13% of the individual oven time is lost due to start-up and changeovers. the firm also knows that product mix and tight control requirements reduce utilization to 84%. Each machine has a scrap/rework rate of 7%. Determine how many curing ovens should be planned for the new facility.
Explanation / Answer
Let number of curing ovens be N
Number of boards required = 94*5 = 470 per week
Time taken to cure a board = 24 hrs
Each oven has 20 boards. So, 20 boards can be cured together
Oven = 3 shifts per days
Number of shifts in a week = 3*5 = 15
Oven has 8 hour for each shift
13% time is lost every time oven starts operating
Actual time of oven in each shift = 8*0.87 = 6.96hrs
Time given by oven in a week = 15*6.96 = 104.4 hrs
Utiliation = 84%
Time utilised = 84% of 104.4 = 87.696 hrs per oven
Scrap rework = 7%
Total time available = 87.696*1.07 = 93.835 hrs
Number of boards = 470 per week
Total time available in an oven = 93.835 hrs
20 boards can go in an oven
Total curing time required for 470 boards = 470*24 = 11280
number of ovens = 11280/(20*93.835) = 6.011 = 6 ovens(rounding off)
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