Leslie Knope is the owner of a small company that produces fresh bagels in Pawnee. The daily demand for bagels appears to be normally distributed and it has been forecasted to be 450 units on average with a standard deviation of 50 bagels. Bagels are baked every morning at a cost of $2 per bagel and the selling price per bagel is $3. Bagels not sold on the day it is baked are relabeled as “day-old” and sold subsequently at a discount price of $1.50 per bagel. The day-old bagels are usually sold out in the morning right after the day they are baked. Determine the optimal number of bagels to bake each morning.