Calculating X from a Known Probability Scenario Assignment

Scenario Script:

Caption: The possibility of a labor stoppage at Princess Foods is becoming greater and greater as the collective bargaining negotiations with the union have broken down.

Although they have a contingency plan for management to operate the machinery if a strike should occur, they only have enough people trained to cover 5% capacity of the normal distribution.

Bonnie: I am getting more and more uneasy about this situation. We've had four formal complaints filed already.

Liwei: Even with our contingency plan in place, we need more concrete information about how a labor stoppage could affect production numbers. I know that you've helped us with this already, but could you take another look? Exactly how many cans could be produced per day under these circumstances?

Assignment

The average number of cans of creamed peas produced each day at the processing plant is 20,000 with a standard deviation of 2,300.

How many cans would be produced per day under these circumstances?