In a factory, 20 workers start working on a project of packing consignments. They need exactly 5 hours to pack one consignment. Every hour 4 new workers join the existing workforce. It is mandatory to relieve a worker after 10 hours. Then how many number of consignments that would be packed in the initial 113 hours?
20 workers ==> 1 consignment in 5 hours
1 worker ==> 1 consignment in 100 hours
4 workers ==> 1 consignment in 25 hours
Consignments done as a function of h (hours) can be written based on the above facts as shown
Consignments = (1/5)h + (1/25)(h - 1)h/2 - (1/100)×((h - 10) + (h - 20) +(h - 30) + ...... + (h - 110))
After substituting h = 113 we get Consignments approximately = 270.
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