Question

The cost of producing x units of a certain commodity is C(x) = 1000 +5.70x + .7x^2
What is the instantaneous rate of change of C with respect to x when x =
100?

Answer 1

Answer:

The instantaneous rate of change C(x) is  71570

Step-by-step explanation:

Given the function

$C(x) = 1000 +5.70x + 7x^2$

To get the instantaneous rate of change with respect to x, when x= 100

we have to substitute x= 100 in the given function and solve.

we have

$C(x) = 1000 +5.70(100) + 7(100)^2\\\\C(x) = 1000 +5.70(100) + 7(100)^2\\\C(x)= 1000+570+7*10000\\\\C(x)= 1570+70000\\\\C(x)= 71570$

Answer 2

Answer: 159.7

Step-by-step explanation: