Additional Algo $13-8$ Expected Profit

A grocer purchases carrots for $$2\mathrm{.}25$ per pound and sells them for $$4\mathrm{.}90$ per pound. At the end of the sales cycle, leftover carrots are sold for a closeout price of $$1\mathrm{.}20$ per pound. The grocer purchases $10,100$ pounds of carrots. Expected demand is normally distributed with a mean of $8,080$ pounds and a standard deviation of $1,010.$

What is the grocer's expected profit? Use Excel.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.