Question

During 2005, a company produced an average of 2,000 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 200% over its 2005 average?

Answer 1

Answer:

The company needs to produce 264,000 units from 2006 through 2008.

Step-by-step explanation:

Let x represent units produced by company from 2006 to 2008.

We have been given that during 2005, a company produced an average of 2,000 products per month.

The total units produced by company in 2005 would be $12\times 2,000=24,000$ units.

The total units produced by company from 2005 to 2008 would be $x+24,000$ units.

The average of units produced during four years would be total units $(x+24,000)$ divided by total years (4) that is $\frac{x+24,000}{4}$

We are told that the average of the 4 years should be 200% more than in 2005. Let us find average for 4 years as:

$24,000+24,000\times \frac{200}{100}\\\Rightarrow 24,000+24,000\times 2\\=24,000+48,000\\=72,000$

We can represent all this information in an equation as:

$\frac{x+24,000}{4}=72,000$

$\frac{x+24,000}{4}*4=72,000*4$

$x+24,000=288,000$

$x+24,000-24,000=288,000-24,000$

$x=264,000$

Therefore, the company needs to produce 264,000 units from 2006 through 2008.