High School

A small metal shop operates 10 hours each day, producing 100 parts per hour. If productivity were increased by 20%, how many hours would the plant have to work to produce 1000 parts?

A. Less than 2 hours
B. Between 9 and 10 hours

Answer :

The answer is 50 minutes

Increasing productivity by [tex]20%[/tex]% would result in [tex]20%[/tex]% more components being produced per hour, or

[tex]100\times(1 + 0.20) = 120[/tex] parts/hr.

Use a proportion to calculate for the time needed to create [tex]100[/tex] parts if the rate is [tex]120[/tex] parts per hour.

[tex]\frac{120\ parts}{60\ minutes} =\frac{100\ parts}{x\ minutes}[/tex]

[tex]120x = 6000[/tex]

[tex]x = 50 minutes[/tex]

Increase in Productivity:

Greater output for the same quantity of input is the definition of increased productivity. It denotes increased productivity in a company's or economy's ability to convert resources into goods. Growth in productivity offers us the chance to produce more with fewer resources.

By comparing the number of products and services produced (output) with the quantity of inputs required to produce those goods and services, productivity is a measure of economic performance.

Production per worker or output for each employee per hour are standard metrics for determining productivity. The quantity or cost of the final items each employee can create in a certain amount of time may be used as a productivity indicator for a manufacturing organization.

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