Write the following down $($or cut and paste it into a MS Word Document$)$ so that you can refer to it as you work.

A grocer must decide how many cases of milk to stock each week in order to meet demand. The probability distribution of demand is

Demand $($cases$)$

Probability

$15$

$\mathrm{.}20$

$16$

$\mathrm{.}25$

$17$

$\mathrm{.}40$

$18$

$\mathrm{.}15$

$1\mathrm{.}00$

Each case costs the grocer $$10,$ who, in turn, sells it for $$12.$ Unsold cases are sold to a local farmer $($who mixes it with feed for livestock$)$ for $$2$ per case. If a shortage exists, the grocer considers the pro$$t of $$2$ per case to be a cost. In addition, customer ill will costs are $$2$ per case. Thus, a shortage cost of $$4$ per case is incurred.