Joe's Coffee Shop has fresh muffins delivered each morning. Daily demand for muffins is approximately normal with a mean of 2000 and a standard deviation of 350. Joe pays $0.40 per muffin and sells each muffin for $1.25. Joe and the staff eat any leftovers they can and throw the rest, instead of feeding homeless. What a shame!

a) Find the optimal order quantity for Joe that minimizes his cost. Does the number make any sense? Why or why not?