Bonus Problem: (6 points) (Bonus points will be added to your homework score). A fish distributor is trying to perfect his business to maximize the money he saves. Daily fish sales are normally distributed with a mean of 250 and standard deviation of 30. The distributor sells each fish for $4.50 and pays $1.65 to buy each fish. The distributor must get rid of unsold fish by paying a waste removal facility fee of $0.25 per fish. How many fish should the distributor order each day and what % of the time will he experience a stock-out? Are there any drawbacks to the order size proposed and how could the fisherman address such issues?