Problem $12-39($Algo$)$

Burger Prince buys top$-$grade ground beef for $$\mathrm{.}90$ per pound. A large sign over the entrance guarantees that the meat is fresh daily.

Any leftover meat is sold to the local high school cafeteria for $60$ cents per pound. Four hamburgers can be prepared from each

pound of meat. Burgers sell for $70$ cents each. Labor, overhead, meat, buns, and condiments cost $50$ cents per burger. Demand is

normally distributed with a mean of $382$ pounds per day and a standard deviation of $27$ pounds per day. What daily order quantity is

optimal? $($Hint: Shortage cost must be in dollars per pound.$)($Round your answer to $1$ decimal place.$)$

Use Table.

Answer is complete but not entirely correct.