Suppose that a room has many cotton spinning looms and two operators. Once the looms set...

Suppose that a room has many cotton spinning looms and two operators. Once the looms set up, they run
automatically. One operator can set up one loom independently. The setup time is exponentially distributed, with
mean 30 minutes. The looms are breakdown on an average of one every 20 minutes throughout the day with an
exponential distribution. Suppose that loom operators are paid $20 an hour, and looms not running incur a cost of
$80 an hour. If the probability that all looms are running (no loom needs to be set up) is 0.15,

(1) What is the probability that both operators are busy?
(2) What is the probability that only one operator is busy (only one loom is breakdown)?
(3) Estimate the long-run average cost per hour of the system.

Expert Solution

orchestra answered 2 years ago

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