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?

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 units.

The total units produced by company from 2005 to 2008 would be units.

The average of units produced during four years would be total units divided by total years (4) that is

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:

We can represent all this information in an equation as:

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

step-by-step explanation:

sry but any answer choices

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.