Question

A new machine is 12% more productive (measured by the number parts it produces
in a period of time) than the last model. After replacing the machines during
an upgrade, a plant has 5% fewer new models than it had old models previously.
By what percent did the number of produced parts at this plant change?

Answer 1

Using decimal multipliers, it is found that the number of produced parts at this plant increased by 6.4%.

• The multiplier for an increase of a% is: $\frac{100 + a}{100}$.

• The multiplier for a decrease of a% is: $\frac{100 - a}{100}$.

In this question:

• 12% more productive, hence $\frac{100 + 12}{100} = 1.12$.

• The plant has 5% less machines, hence $\frac{100 - 5}{100} = 0.95$

Then, 1.12 x 0.95 = 1.064.

1.064 - 1 = 0.064

0.064 x 100% = 6.4%

The number of produced parts at this plant increased by 6.4%.

To learn more about decimal multipliers, you can take a look at https://brainly.com/question/19808269

Answer 2

Answer:

6.4

Step-by-step explanation:

I do RSM so i know it is correct.