Multiple choice

A warehouse is tasked with sorting 1,560 packages per day. Male and female workers are employed for this job, with each worker working 8 hours per day. A male worker can sort 25 packages per hour, and a female worker can sort 30 packages per hour. Male workers receive a fixed wage of Rs. 300 per day and Rs. 12 per package sorted, while female workers receive a fixed wage of Rs. 350 per day and Rs. 10 per package sorted. How many male workers should the warehouse employ, given that it must employ at least 3 and at most 7 female workers, and what will be the total operational cost per day with the given condition?

  1. 2, Rs. 20,100 per day

  2. 3, Rs. 19,100 per day

  3. 4, Rs. 15,400 per day

  4. 5, Rs. 19,200 per day

  5. a

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total packages = 1560. Let M be male workers and F be female workers. Total sorted = 25*8*M + 30*8*F = 200M + 240F = 1560. Simplifying, 5M + 6F = 39. Given 3 <= F <= 7, testing values: if F=4, 5M = 39-24=15, M=3. If F=3, 5M=21 (no). If F=7, 5M= -3 (no). With M=3, F=4: Cost = (300+12*25*8)*3 + (350+10*30*8)*4 = (300+2400)*3 + (350+2400)*4 = 2700*3 + 2750*4 = 8100 + 11000 = 19100.