Question

(calculus!) A toy manufacturing company the cost dollars of producing a certain number of dollars a day is C(x) = x^3 + 2x^2, Where X is the quantity what is the marginal cost of $100 are produced each day

Answer 1

Given:

`C(x)=x^3+2x^2`

Where: C(x) is the cost in dollars and x is the number of dolls produced.

We will find the marginal cost if 100 dolls are produced each day

To find the marginal cost, we need to find the first derivative of the function C(x)

We will use the exponent rule to find C'(x) as follows:

`C^(\prime)(x)=3x^2+4x`

Now, we will substitute x = 100

`C^(\prime)(100)=3(100)^2+4(100)=3*10000+400=30,400`

So, the answer will be B. $30,400/day