$(5$ points$)$ See worksheet $$EOQ $-$ Nonlinear$$ with the nonlinear order cost function A $($Q$)=100+5$

Q

$($where the fixed cost for an order of size Q is A $($Q$),$ i$.$e$.,$ it now depends on the order size$).$ What is the

optimal order quantity that minimizes

T AC $($Q$)=$ A $($Q$)\backslash$times

D

Q

$+$

$1$

$2$

$\backslash$times Q $\backslash$times H $\backslash$times V$,$

where A $($Q$)=100+5$

Q$?$ Note that this function is still convex $($e$.$g$.,$ using an online graphing

calculator$).$ Then, we can minimize the TAC in Solver $($subject to the constraint Q $>=0).$