The total cost to produce x handcrafted wagons is c(x) = 110 + 7x - x^2 + 2x^3. find the marginal cost when x = 8.
1016
1126
485
375

The marginal cost when x=8 is:

                          375

We know that the marginal function for a cost function C(x) at x=a

is given by:

   C'(x) at x=a

Here we have the cost function C(x) as:

Now we find the derivative of C(x) with respect to x.

i.e.

( Since,

 )

Hence, we get:

12 > 11 true

12 > 12 false

12 > 13 false

12 > 14 false