You face a newsvendor problem with a discrete demand distribution. Let Demand $=x$ and $F(x)$

Demand $$ x$),$ i$.$e$.,F(x)={\displaystyle \underset{i=1}{\overset{x}{}}}{p}_i.$ Let $S{L}^{**}=\frac{MB}{MB+MC}$ be the optimal service level. Suppose there

exist a quantity $Q$ such that $F(Q)=S{L}^{**}.$ Show that you are indifferent between stocking $Q$ and $Q+1.$