A pastry shop is considering how much hot chocolate to prepare each morning. Hot chocolate costs $$0\mathrm{.}10$ per oz to make and sells for $$0\mathrm{.}40$ per oz$.$ Customers can buy hot chocolate in any

number of ounces that they wish. Any hot chocolate not sold by the end of the day is discarded.

The daily demand for hot chocolate is normally distributed with a mean of $1,200$ oz and a standard

deviation of $150$ oz$.$ How much hot chocolate should the pastry shop make each morning? You

may use a z$-$table for this question.