The Campus Bookstore Sells Highlighters That It Purchases by the Case

The campus bookstore sells highlighters that it purchases by the case. Cost per case, including shipping and handling, is $200. Revenue per case is $350. Any cases unsold will be discounted and sold at $175. The bookstore has estimated that demand will follow the pattern below
$$\begin{array} { | c | c | } \hline \text { Demand level } & \text { Probability } \\\hline 10 \text { cases } & 20 \% \\\hline 11 \text { cases } & 20 \% \\\hline 12 \text { cases } & 40 \% \\\hline 13 \text { cases } & 15 \% \\\hline 14 \text { cases } & 5 \% \\\hline\end{array}$$ a. Construct the bookstore's payoff table.
b. How many cases should the bookstore stock in order to maximize profit?
c. How would your answer differ if the clearance price were not $175 per case but $225 per case? (It is not necessary to re-solve the problem to answer this.)