Question

Suppose that the total cost (in dollars) for a product is given by $C(x) = 1600 + 180 \ln(2x + 1)$ where $x$ is the number of units produced. (a) Find the marginal cost $MC$ function. $MC = $ (b) Find the marginal cost when 180 units are produced. (Round your answer to the nearest cent.) $ Interpret your result. \text{It will cost approximately this amount to make the next unit.} \text{This is the total cost of producing 180 units.} \text{The profit from the next unit will be approximately this amount.} \text{This is the total profit from producing 180 units.} (c) Total cost functions always increase because producing more items costs more. What then must be true of the marginal cost function? $MC \le 0$ $MC = 0$ $MC < 0$ $MC \ge 0$ $MC > 0$ Does it apply in this problem? Yes No

          Suppose that the total cost (in dollars) for a product is given by
$C(x) = 1600 + 180 \ln(2x + 1)$
where $x$ is the number of units produced.
(a) Find the marginal cost $MC$ function.
$MC = $
(b) Find the marginal cost when 180 units are produced. (Round your answer to the nearest cent.)
$
Interpret your result.
\text{It will cost approximately this amount to make the next unit.}
\text{This is the total cost of producing 180 units.}
\text{The profit from the next unit will be approximately this amount.}
\text{This is the total profit from producing 180 units.}
(c) Total cost functions always increase because producing more items costs more. What then must be true of the marginal cost function?
$MC \le 0$
$MC = 0$
$MC < 0$
$MC \ge 0$
$MC > 0$
Does it apply in this problem?
Yes
No

Suppose that the total cost (in dollars) for a product is given by
C(x) = 1600 + 180 ln(2x + 1)
where x is the number of units produced.
(a) Find the marginal cost MC function.
MC =
(b) Find the marginal cost when 180 units are produced. (Round your answer to the nearest cent.)
Interpret your result.
It will cost approximately this amount to make the next unit.This is the total cost of producing 180 units.The profit from the next unit will be approximately this amount.This is the total profit from producing 180 units.
(c) Total cost functions always increase because producing more items costs more. What then must be true of the marginal cost function?MC ≤0MC = 0MC < 0MC ≥0MC > 0Does it apply in this problem?
Yes
No

Added by Alexander E.

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