A company's total cost, in millions of dollars, is given by C(t)=120-80e^(-t) where t= time in years. Find the marginal cost when t=2.

Richard Ferrell

Richard Ferrell

Answered question

2022-11-24

A company's total cost, in millions of dollars, is given by C ( t ) = 120 80 e t where t= time in years. Find the marginal cost when t=2.

Answer & Explanation

Tristen Gregory

Tristen Gregory

Beginner2022-11-25Added 13 answers

A company's total cost; in million dollars is given by C ( t ) = 120 80 e t
Marginal cost is d e ( t ) d t
So, d e ( t ) d t = 80 ( e t ) = 80 e t
Now, when t=2, we have
= 80 e 2 = 80 × 0.13533528323 = 10.826 = 10.83

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