Marginal Cost The cost $\backslash ($ C $\backslash )($in dollars$)$ of producing $\backslash ($ x $\backslash )$ units of a product is given by the following.

$\backslash [$

C$=2\mathrm{.}6\backslash$sqrt$\{$x$\}+400$

$\backslash ]$

$($a$)$ Find the marginal cost $($in dollars per unit$)$ when $\backslash ($ x$=9\backslash ).($Round your answer to two decimal places.$)$

$\backslash$$

$\backslash (\backslash$checkmark $\backslash )$ per unit

$($b$)$ Find the additional cost $($in dollars$)$ when the production increases from $9$ to $10$ units. $($Round your answer to two decimal places.$)$

$\backslash$$

$($c$)$ Compare the results of parts $($a$)$ and $($b$).$

Score: $0\mathrm{.}18$ out of $0\mathrm{.}18$

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