Bunuel wrote:
A machine costing $5600 can produce 15 units of a product per day with cost per unit equal to $20, while a worker working alone can produce 10 units of the same product per day with cost per unit equal to $25. The machine undergoes maintenance for 5 days in a month and the worker works for 26 days in a month. If each unit of the product can be sold for $30 without incurring any extra cost, at the end of how many months will the difference between cumulative monthly profit earned by producing units of the product with the machine and the monthly profit earned by producing with the worker, be greater than the cost incurred in purchasing the machine?(Assume each month has 30 days)
A. 2
B. 3
C. 4
D. 5
E. 6
This word problem has a lot of information of process, so its best to create a table to keep a track of the information.
Attachment:
Screenshot 2022-12-29 004849.jpg [ 69.12 KiB | Viewed 1197 times ]
Difference in cumulative monthly profit earned by producing units of the product with the machine and the monthly profit earned by producing with the worker (P) = 3750 - 1300 = $2450
Cost of Machine (C) = $5200
We need the number of months it will take for P > C
Had the profit been $2500, it would have taken 3 months to recover, as the number is very close we can be sure the value is 3.
Option B