Final answer:
The Takt time for Xebec Chemicals to produce 270 units a day with two 8-hour shifts and break times considered is 180 seconds per unit.
Step-by-step explanation:
The student is asking how to calculate the Takt time in seconds for Xebec Chemicals, which needs to produce 270 units a day, operating two 8-hour shifts with breaks deducted.
Firstly, we need to calculate the total working time in minutes per shift by subtracting the break times from the shift duration:
Shift duration (minutes) = 8 hours * 60 minutes/hour = 480 minutes
Total break time per shift (minutes) = (2 * 15 minutes) + 45 minutes = 75 minutes
Total working time per shift (minutes) = 480 minutes - 75 minutes = 405 minutes
There are two shifts per day, so the total working time per day is:
Total working time per day (minutes) = 2 shifts/day * 405 minutes/shift = 810 minutes/day
Now, the Takt time can be calculated by dividing the total working time per day by the number of units required:
Takt time (minutes) = 810 minutes/day / 270 units/day = 3 minutes/unit
Finally, we convert the Takt time to seconds:
Takt time (seconds) = 3 minutes/unit * 60 seconds/minute = 180 seconds/unit