Answer: Please see answer below
Explanation:
a)No of batches of heating elements produced annually =315 per day x 248 days
Batch size = 2300
No of batches produced annually = 315 x 248 / 2300 = 33.96 = 33.97 batches
b)
Number of inventory daily during production
= Daily production rate – Daily usage rate
= 830 – 315
= 515
so number of inventory on hand 4 days later = 515 per day x 4 days = 2060
c) Inventory for the heating elements = Batch size x ( 1 – daily requirement/ Daily production ) = 2300 x ( 1 – 315/830 ) = 2300 x ( 1 – 0.38) = 1,426
our minimum inventory per day =0
Average inventory = ( Max. inventory + Min inventory )/ 2 = 1426/2 = 713
d)we already have that 33.97batches of production of heating elements are required .
set up time of heating element per batch to use = 1/2 day
then Total set up time required in a year = 0.5 x 33.97days = 16.985 days
Number of heating elements required in a year = 315 per day x 248 days = 78,120
At production rate of 830 per day ,with no set up time required for heating element = 78120 /830 = 94.12 days
the total time required in a year for heating elements will now be
= Actual production time + Set up time
= 94.12 + 16.985
= 111.105 days
which means the spare time available annually to produce other components = 248 days – 111.105 = 136.895= 136.9 days
i )YES, since the time required to complete the other job is 6 days , there would be enough time because 6 days is less than 136.9 days of spare time
