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A machine shop operates 10 hours each day, producing 100 parts per hour. If productivity were increased by 50%, how many hours would the shop have to work to produce 1,500 parts?

a. 8.33333 hours
b. 15 hours
c. 12.5 hours
d. 10 hours
e. 6.66667 hours

Answer :

A machine shop operates 10 hours each day, producing 100 parts per hour. The shop would still have to work for 10 hours to produce 1,500 parts. the correct answer is d. 10 hours.


To find out how many hours the machine shop would have to work to produce 1,500 parts, we can use the concept of productivity.

First, let's calculate the number of parts the shop produces in a day:
10 hours/day * 100 parts/hour = 1000 parts/day

Since the productivity is increased by 50%, we need to calculate the new productivity level:
1000 parts/day + 50% increase = 1000 parts/day + (50/100)*1000 parts/day = 1000 + 500 parts/day = 1500 parts/day

Now, let's find out how many hours it would take to produce 1500 parts:
1500 parts/day ÷ 150 parts/hour = 10 hours

So, the shop would still have to work for 10 hours to produce 1,500 parts.

Therefore, the correct answer is d. 10 hours.

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