Demand for Container X$-100$ is $100$ per week. There are $52$ weeks per year. The lead time to get new containers is $3$ weeks. The interest rate $($holding cost rate$)$ is $40\%.$ The cost per order is $$96$ and the cost per container is $$20.$ One decimal point for all calculations.

What is the optimal ordering quantity?

a$.$

$2600$

b$.$

$353\mathrm{.}3$

c$.$

$499\mathrm{.}6$

d$.$

$395\mathrm{.}0$