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 number of the ICC World Cup towels that Christy’s can complete in a day ?
150
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Each of the ICC World Cup towels require one hour for cutting the towel fabric, two hours for dyeing and screen printing, eighty minutes for border stitching and monogramming, and fifteen minutes for folding, packing and sealing.
There are twenty cutters with Christy’s, who will put in 10*20 = 200 man hours of work per day, which is equivalent to cutting 200/1 = 200 towel fabrics for ICC World Cup towels.
There are fifty printers with Christy’s, who will put in 10*50 = 500 man hours of work per day, which is equivalent to dyeing and screen printing on 500/2 = 250 ICC World Cup towels.
There are twenty stitchers with Christy’s, who will put in 10*20 = 200 man hours of work per day, which is equivalent to stitching and monogramming on 200/(80/60) = 150 ICC World Cup towels.
There are five packers with Christy’s, who will put in 10*5 = 50 man hours of work per day, which is equivalent to folding, packing and sealing of 50/(15/60) = 200 ICC World Cup towels.
Hence the maximum number of ICC World Cup towels that Christy’s can complete in a day = 150