A​ company's total​ cost, in millions of​ dollars, is given by ​C(t) where t is the time in years since the​ start-up date. The graph of​ C(t) is shown to the right. Find each of the following.​a) The marginal​ cost,
​b)
​c)
​d) Find ​C(t) and

Respuesta :

The marginal cost that can be deduced from the information given about the company is 40e^-t.

What is a a marginal cost?

Marginal cost simply means the change in production cost due to an additional unit produced.

From the complete question, the cost function is given as 60 - 40e^-t. Therefore, the marginal cost will be:

C'(t) = d/dt (60 - 40e^-t)

= d/dt (60) - 40 d/dt (etc)

= 0 - 40(-1)e^-t

= 40 e^-t.

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