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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:

What is the maximum total number of towels Christy’s can complete in a day if the target is to complete at least eighty towels for both Wimbledon and ICC World Cup every day ?

 

Option: 1

180


Option: 2

190


Option: 3

220


Option: 4

260


Answers (1)

best_answer

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.

To complete 80 Wimbledon towels in a day :

Cutters, who cut the towel fabric, will need 80*(40/60) = 53.33 man hours in the day 

Printers, who dye and screen print on the towels, will need 80*2 = 160 man hours in the day

Stitchers, who stitch and monogram on the towels, will need 80*(40/60) = 53.33 man hours in the day

Packers, who fold, pack and seal the towels, will need 80*(10/60) = 13.33 man hours in the day

To complete 80 ICC World Cup towels in a day :

Cutters, who cut the towel fabric, will need 80*1 = 80 man hours in the day 

Printers, who dye and screen print on the towels, will need 80*2 = 160 man hours in the day

Stitchers, who stitch and monogram on the towels, will need 80*(80/60) = 106.67 man hours in the day

Packers, who fold, pack and seal the towels, will need 80*(15/60) = 20 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 80 Wimbledon towels and 80 ICC World Cup towels in a day,

Man hours of cutters left in the day = 200 – (53.33+80) = 66.67 

Man hours of printers left in the day = 500 – (160+160) = 180

Man hours of stitchers left in the day = 200 – (53.33+106.67) = 40

Man hours of packers left in the day = 50 – (13.33+20) = 16.67

For every aspect, except dyeing and screen printing on the towels, the Wimbledon towels take lesser time. So to maximize the completion of the number of towels in the day, Christy’s should choose to complete more Wimbledon towels.

Thus, after completing 80 Wimbledon towels and 80 ICC World Cup towels in a day,

Number of Wimbledon towels for which the towel fabric can be cut = 66.67/(40/60) = 100

Number of Wimbledon towels for which the dyeing and screen printing on the towel can be done = 180/2 = 90

Number of Wimbledon towels for which the stitching and monogramming on the towel can be done = 40/(40/60) = 60

Number of Wimbledon towels for which the folding, packing and sealing of the towel can be done = 16.67/(10/60) = 100

Hence, the maximum number of Wimbledon towels that Christy’s can complete in the left-over man hours = 60

Hence, the maximum total number of towels Christy’s can complete in a day if the target is to complete at least eighty towels for both Wimbledon and ICC World Cup every day = 80+80+60 = 220

 

Posted by

Sanket Gandhi

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