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  • Directions for question On 1st February 2022, Ms Dipali Goenka, MD & CEO of Christy’s, a subsidiary of Guj

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 would like to complete equal number of Wimbledon and ICC World Cup towels in a day, then what would be the total number of towels of both types it can complete within the stipulated time of the order, assuming that the first consignment of towel fabric arrived at Christy’s from M/s Welspun India on 1st March 2022 and that production continued on all seven days of a week ?

 

Option: 1

18300

 

 


Option: 2

24400 


Option: 3

27450

 


Option: 4

30500


Answers (1)

best_answer

Since an equal number of Wimbledon and ICC World Cup towels are to be completed in a day, let us consider a combo of one Wimbledon towel and one ICC World Cup towel as a unit of towels.

So, each unit consisting of one Wimbledon towel and one ICC World Cup towel would require : 

a) (40+60) = 100 minutes for cutting the towel fabric 

b) (2+2) = 4 hours for dyeing and screen printing 

c) (40+80) = 120 minutes for border stitching and monogramming

d) (10+15) = 25 minutes for folding, packing and sealing. 

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, 

Number of units for which the towel fabric can be cut = 200/(100/60) = 120

Number of units for which the dyeing and screen printing on the towels can be done = 500/4 = 125

Number of units for which the stitching and monogramming on the towels can be done = 200/(120/60) = 100

Number of units for which the folding, packing and sealing of the towels can be done = 50/(25/60) = 120

Hence the maximum number of units of towels that can be completed in a day = 100

Number of days from 1st March 2022 to 30th June 2022 = 31+30+31+30 = 122

Thus total number of units of towels that can be completed within the above time span = 100*122 = 12200

Hence, the total number of towels of both types it can complete within the stipulated time of the order = 12200*2 = 24400 

 

Posted by

Rishabh

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