A convenience store sells spicy black bean burritos during the weekday lunch hour. It charges $$6\mathrm{.}00$ for each burrito and the burritos are purchased from a local manufacturer for $$1\mathrm{.}75$ each. Any burritos left at the end of the day are disposed of and have no salvage value. The manufacturer's production cost is $$1\mathrm{.}00$ per burrito. Burrito demand follows a normal distribution with a mean of $200$ and a standard deviation of $40.$

How many burritos should be ordered to maximize the expected supply chain?