MUST ANSWER ALL PARTS! Do not include anything other than numbers in your responses. For example, do not include comma or dollar sign in your numbers. As a rule of thumb, keep 2 decimal places for larger numbers and 3 decimal places for smaller numbers less than 1. Joes Slop House is a little hole in the wall restaurant that serves slow-cooked barbecue beef sandwiches. The beef for the sandwiches cooks overnight, so each evening Joe decides how much beef to cook for the next day. The beef costs $2.5 a pound and Joe sells each sandwich (filled with 1 pound of beef) for $4.5. At the end of the day, any leftover beef is given to the neighborhood church for their soup kitchen. The tax deduction for this is worth $2 a pound. Daily demand for the beef can be approximated by a normal distribution with a mean of 280 pounds and a standard deviation of 25 pounds.

1)Cost of Shortage (Cs):

2)Cost of Excess (Ce):

3)What is the optimal service level?

4)What is the corresponding z value?

5)How many pounds of beef should Joe cook for the next day?