$($b$)$ Solve the optimization problem you formulated in part $($a$).$ What is the optimal solution value $($in dollars$)?$ Hint: Use the Multistart

option as described in Appendix $8\mathrm{.}1.$ Add lower and upper bound constraints of $0$ and $5,000$ for both $L$ and $C$ before solving. $($Round

your answers to three decimal places.$)$

$

$at(L,C)=(,)$