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?

(A) 148,000

(B) 172,000

(C) 200,000

(D) 264,000

(E) 288,000

264,000 (D)

Step-by-step explanation:

An average of 2000 products is produced per month.

In 2005, the company produced 2000*12 = 24000 products

The total amount of products produced between 2005 to 2008 if the company produces X products from 2006 to 2008 is

X + 24000

The average = (X + 24000) / 4

The average is 200% higher than that in 2006

24000 + 200% (24000)

= 24000 + 48000

= 72,000

Therefore;

(X + 24000) / 4 = 72000

X + 24000 = 72000 * 4

X + 24000 = 288000

X = 288000 - 24000

X = 264000 (D)