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526 CHAPTER 12 SIMULATION

a. Set up intervals of random numbers that can be used to simulate sales.
b. Random numbers generated for the first ten days of a simulation are as follows: 0.4627,
0.8745, 0.4479, 0.6712, 0.4557, 0.8435, 0.2162, 0.1699, 0.1338, 0.2278. What is the
sales value generated for each day?
c. What are the total sales over the ten-day period?
5 The price of a share of a particular stock listed on the Frankfurt Stock Exchange is currently
E39. The following probability distribution shows how the price per share is expected to
change over a three-month period.

Stock Price Change (E) Probability

2 0.05
1 0.10
0 0.25
+1 0.20
+2 0.20
+3 0.10
+4 0.10

a. Set up intervals of random numbers that can be used to generate the change in stock
price over a three-month period.
b. With the current price of E39 per share and the random numbers 0.1091, 0.9407, 0.1941
and 0.8083, simulate the price per share for the next four three-month periods. What is
the ending simulated price per share?
6 A variety of routine maintenance checks are made on commercial aeroplanes prior to each
takeoff. One particular maintenance check of an aeroplane’s landing gear requires
between ten and 18 minutes of a maintenance engineer’s time. In fact, the exact time
required is uniformly distributed over this interval. As part of a larger simulation model
designed to determine total on-ground maintenance time for an aeroplane we will need to
simulate the actual time required to perform this maintenance check on the aeroplane’s
landing gear. Using random numbers of 0.1567, 0.9823, 0.3419, 0.5572 and 0.7758,
compute the time required for each of five simulated maintenance checks of the
aeroplane’s landing gear.
7 A project has four activities (A, B, C and D) that must be performed sequentially. The
probability distributions for the time required to complete each of the activities are as
follows:

Activity Activity Time (weeks) Probability

A 5 0.25
6 0.35
7 0.25
8 0.15
B 3 0.20
5 0.55
7 0.25

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