Suppose that two products A and $B$ are jointly ordered and delivered in the same truck. Annual demand of product $A$ is twice as large as the annual demand of product $B($i$.$e$.,$ the ratio of the annual demands between products A and $B$ is $2$ vs$.1).$ If the total quantity of the optimum lot sizes of the two products A and $B$ exceeds the truck capacity, the lot size of product A should be $q,$ of the truck capacity and the lot size of product B should be $q,$ of the truck capacity.

$\frac{1}{2}$;$\frac{1}{2}$

$\frac{1}{3}$;$\frac{2}{3}$

$\frac{2}{3}$;$\frac{1}{3}$