$15\mathrm{.}15.*$ Michael Wise operates a newsstand at a busy intersection downtown every day except Sundays. Demand for the Daily Times

averages $300$ copies with a standard deviation of $50$ copies $($assume a normal distribution$).$ Michael purchases the papers for $$0\mathrm{.}75$ and

sells them for $$1\mathrm{.}25.$ Any papers left over at the end of the day are recycled with no monetary return.

a$.$ Suppose that Michael buys $350$ copies for his newsstand each morning. Use Analytic Solver to perform $1,000$ trials of a

computer simulation on a spreadsheet. What will be Michael's mean profit from selling the Daily Times? What is the probability

that Michael will make at least $$0$ profit?

b$.$ Generate a parameter analysis report to consider five possible order quantities between $250$ and $350.$ Which order quantity

maximizes Michael's mean profit?

c$.$ Generate a trend chart for the five order quantities considered in part $b.$

d$.$ Use the Solver in Analytic Solver to search for the order quantity that maximizes Michael's mean profit.