The revenue (in thousands of dollars) from producing x units of an item is modeled by r(x)=12x-0.01x^2. a. find the average rate of change in revenue as x changes from 1002 to 1007. b. find the marginal revenue at x=1000.

It is given in the question that

The revenue (in thousands of dollars) from producing x units of an item is modeled by

a. Average rate of change is given by

So the average rate of change of revenue is -8090dollars per unit .

b .To find the marginal revenue, we have to differentiate revenue function, that is

And at x=1000, we will get

S the marginal revenue is -8000 dollars.

b is the answer that makes most sense

step-by-step explanation:

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!