Question

4. Jason is considering purchasing a new machine to make plastic silverware. The machine produces 1,000 pieces of silverware in two hours. One box contains 50 pieces of silverwares and sells for $3.00.

If the machine costs $9,000,and runs for many days, how many days will it take the machine to make enough silverware to pay for itself?

Answer 1

Answer on Question#37789, Math, Combinatorics.

Jason is considering purchasing a new machine to make plastic silverware. The machine produces 1,000 pieces of silverware in two hours. One box contains 50 pieces of silverwares and sells for $3.00.

If the machine costs $9,000, and runs for many days, how many days will it take the machine to make enough silverware to pay for itself?

Solution.

The machine produces 1000/2 = 500 pieces of silverware in an hour. Thus, it produces 500/50 = 10 boxes in an hour, or, in money equivalent, 10 · 3$ = 30$. So, Jason profit in an hour for one machine is 30$. The machine to pay for itself needs $9,000 or 9000/30 = 300 hours.

a) If it runs 24 hours per day it needs 300/24 = 12.5 days to pay for itself.

b) If it runs 12 hours per day it needs 300/12 = 25 days to pay for itself.

c) If it runs 8 hours per day it needs 300/24 = 37.5 days to pay for itself.

Answer.

24 hours/day: 12.5 days.

12 hours/day: 25 days.

8 hours/day: 37.5 days.