(total 15 points) Brookline Cloth & Paper prints T-shirts for local concerts. The shirts cost $5 to make and distribute. They are sold for $20. Company policy is to discount any excess inventory after the concert by 80 percent. For the upcoming show, the expected demand is 10, 800 shirts, with a significant amount of uncertainty, as illustrated by the given discrete probability distribution function for demand:

Demand (in shirts) Probability
7,000 0.25
11,000 0.40
13,000 0.30
15,000 0.05

If you order the expected demand of 10,800 shirts, what percent of fans do you expect to turn away due to being sold out of T-shirts?