The cost (in dollars) of producing x units of a certain commodity is c(x) = 9000 + 6x + 0.05x2. (a) find the average rate of change of c with respect to x when the production level is changed from x = 100 to the given value. (round your answers to the nearest cent.) (i) x = 102

The correct answer is $16.1 per unit.

Explanation:

C(x) = 9000 + 6x + 0.05x²

C(100) = 9000 + 6 × 100 + 0.05(100)²

           = 9000 + 600 + 500

            = 10,100

C(102) = 9000 + 6 × 102 + 0.05(102)²

           = 9000 + 612 + 520.5

            = 10,132.2

Now, the average rate of change of C with respect to x when production level changed from x = 100 to x = 102 is :

⇒

=

= $16.1 per unit

16

Explanation: Average rate of change of C with respect to X is given as

=

=

=

= 32/2

= 16

if you use only 25 for your entertainment and only 200 for the groceries that you really need and take out the 50 per month for the computer then that should be enough

i would prefer to go with the news article for nate, its recent and updated and stores a lot of information