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An elevator in a manufacturing plant carries exactly 400 kilograms of material. There are three kinds of material packaged in boxes that arrive for a

An elevator in a manufacturing plant carries exactly 400 kilograms of material. There are three kinds of material packaged in boxes that arrive for a ride on the elevator. These materials and their distributions of time between arrivals are as follows:

Material

Weight (kg)

Interarrival Time (minutes)

A

200

5 +- 2 (uniform)

B

100

6 (constant)

C

50

P(2) = 0.33, P(3) = 0.67

It takes the elevator 1 minute to go up to the second floor, 2 minutes to unload, and 1 minute to return to the first floor. The elevator does not leave the first floor unless it has a full load. Simulate 1 hour of operation of the system.

  1. What is the average transit time for a box of material A (time from its arrival until it is unloaded)?
  2. What is the average waiting time for a box of material B?
  3. How many boxes of material C made the trip in 1 hour?

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