$[0/0\mathrm{.}66$ Points$]$

TAMUBUSCALC$12\mathrm{.}4\mathrm{.}014.\frac{3}{6}$ Submissions Used

A company has determined their yearly cost function, in dollars, to be given by

$C(x)=\frac{1,500x^{\frac{5}{2}}}{6x^2+5x-4}$

when $x$ pounds of product are made. Find the marginal cost $($in dollars per pound$)$ when $5$ pounds of product are made. $($Round your answer to four decimal places.$)$

$C^{\text{'}}(5)=$ dollars per pound