The Ace Steel Mill estimates the demand for steel in millions of tons per year as follows:
MILLIONS OF TONS PROBABILITY
12 .15
15 .20
18 .30
20 .20
25 .15
a. If capacity is set at 25 million tons, how much of a capacity cushion is there?
b. What is the probability of idle capacity, and what is the average utilization of the plant at 25 million tons of capacity?