Directions for question
On 1st February 2022, Ms Dipali Goenka, MD & CEO of Christy’s, a subsidiary of Gujarat based M/s Welspun India, received a large order for supplying handmade players’ towels for the centenary Wimbledon Tennis tournament in July 2022, and the ICC Men’s T-20 World Cup in October 2022, both to be delivered by the last date of June 2022.
Christy’s have
a) Twenty cutters whose job is to cut the towel fabric supplied from M/s Welspun India
b) Fifty printers who do the dyeing and screen printing on the towels
c) Twenty stitchers whose job is to do the border stitching and monogramming on the towels
d) Five packers who fold, pack and seal the towels
Each of the hundred employees mentioned above work for ten hours per day.
Each of the Wimbledon towels require forty minutes for cutting the towel fabric, two hours for dyeing and screen printing, forty minutes for border stitching and monogramming, and ten minutes for folding, packing and sealing. Whereas the ICC World Cup towels require one hour, two hours, eighty minutes and fifteen minutes respectively for the same above mentioned activities.
At Christy’s, the following steps are followed in order, after the arrival of the towel fabric, till the final packed product is obtained :
Step I: Cutting of towel fabric by the cutters
Step II: Dyeing and screen printing on the towels by the printers
Step III: Stitching and monogramming on the towels by the stitchers
Step IV: Folding, packing and sealing of towels by the packers
Question:
If Christy’s decides to make two hundred Wimbledon towels only and no other towels on a particular day, how many total man-hours will remain unutilized on that day ? (Man-hours for a task = number of men who can do the task * number of hours for the task)
100
133.33
200
250
Each of the Wimbledon towels require forty minutes for cutting the towel fabric, two hours for dyeing and screen printing, forty minutes for border stitching and monogramming, and ten minutes for folding, packing and sealing.
To complete 200 Wimbledon towels in a day :
Cutters, who cut the towel fabric, will need 200*(40/60) = 133.33 man hours in the day
Printers, who dye and screen print on the towels, will need 200*2 = 400 man hours in the day
Stitchers, who stitch and monogram on the towels, will need 200*(40/60) = 133.33 man hours in the day
Packers, who fold, pack and seal the towels, will need 200*(10/60) = 33.33 man hours in the day
But,
There are twenty cutters with Christy’s, who will put in a total of 10*20 = 200 man hours of work per day
There are fifty printers with Christy’s, who will put in a total of 10*50 = 500 man hours of work per day
There are twenty stitchers with Christy’s, who will put in a total of 10*20 = 200 man hours of work per day
There are five packers with Christy’s, who will put in a total of 10*5 = 50 man hours of work per day
Thus, after completing 200 Wimbledon towels in a day,
Man hours of cutters left in the day = 200 – 133.33 = 66.67
Man hours of printers left in the day = 500 – 400 = 100
Man hours of stitchers left in the day = 200 – 133.33 = 66.67
Man hours of packers left in the day = 50 – 33.33 = 16.67
Hence, if Christy’s decides to make two hundred Wimbledon towels only and no other towels on a particular day, the total number of man-hours that will remain unutilized on that day = 66.67+100+66.67+16.67 = 250