Question

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 silverware and sells for $3.00.
If the machine cos $9,000 and runs for 24 hours a day, how many days will it take to make enough silverware to pay for itself?

Answer 1

Answer on Question #36438 – Math – Algebra

Question

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 silverware and sells for $3.00. If the machine cos $9,000 and runs for 24 hours a day, how many days will it take to make enough silverware to pay for itself?

Solution

The machine produces 1000/2=500 pieces of silverware per hour, which form 500/50=10 boxes per hour and sells for 10× $3.00=$30.00 per hour.

If the machine runs for 24 hours a day and costs $9,000, then it will take 9000/30=300 hours, which is equal to 12 days 12 hours because 300=24× 12 + 12.

Answer: 12 days 12 hours.

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