UI procures game$-$day football programs $($magazines$)$ from a publishing company. Under the current protocol, the UI pays the publishing company $$9\mathrm{.}00$ for each program ordered. The UI then sells the programs for $$10\mathrm{.}00$ at the corresponding games via a group of hired vendors. For each sold program, the UI pays the vendors $$0\mathrm{.}50.$ It costs the publishing company $$7\mathrm{.}00$ to produce each program. For the first game of the season, the UI has determined that demand will be normally distributed with a mean of $9000$ and a standard deviation of $400.$ Suppose that any unsold programs are worthless, and the UI simply recycles them.