Consider the situation a chocolate factory faces each year. The factory produces a special chocolate box for Valentine's day. Suppose a chocolate box costs $6 to make and sells for $9. Any box not sold by Valentine's day will be discounted to $4. Suppose further that demand has been forecasted to be 60,000 units on average with a standard deviation of 7,000 units and that the normal distribution is a reasonable representation of demand. How many chocolate boxes should the factory produce?