Respuesta :
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 [tex]12\times 2,000=24,000[/tex] units.
The total units produced by company from 2005 to 2008 would be [tex]x+24,000[/tex] units.
The average of units produced during four years would be total units [tex](x+24,000)[/tex] divided by total years (4) that is [tex]\frac{x+24,000}{4}[/tex]
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:
[tex]24,000+24,000\times \frac{200}{100}\\\Rightarrow 24,000+24,000\times 2\\=24,000+48,000\\=72,000[/tex]
We can represent all this information in an equation as:
[tex]\frac{x+24,000}{4}=72,000[/tex]
[tex]\frac{x+24,000}{4}*4=72,000*4[/tex]
[tex]x+24,000=288,000[/tex]
[tex]x+24,000-24,000=288,000-24,000[/tex]
[tex]x=264,000[/tex]
Therefore, the company needs to produce 264,000 units from 2006 through 2008.
