C.1 Find an initial solution to the following transporta- tion problem. TO FROM LOS ANGELES CALGARY PANAMA CITY SUPPLY Mexico City $ 6 $18 $ 8 100
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Management Science Operation

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C.1
Find an initial solution to the following transporta-
tion problem.
TO
FROM
LOS ANGELES
CALGARY
PANAMA CITY
SUPPLY
Mexico City
$ 6
$18
$ 8
100
Detroit
$17
$13
$19
60
Ottawa
$20
$10
$24
40
Demand
50
80
70
a) Use the northwest-corner method. What is its total cost?
b) Use the intuitive lowest-cost approach. What is its total
cost?
c) Using the stepping-stone method, find the optimal solution.
Compute the total cost. PX
1824.jpg
'l ' ' '1." " "'U' ' ' ' ' ' ' "'J' - D.2 There is only one copying machine in the student
lounge of the business school. Students arrive at the rate of )t =
40 per hour (according to a Poisson distribution). Copying takes
an average of 40 seconds, or p. = 90 per hour (according to a
negative exponential distribution). Compute the following: a) The percentage of time that the machine is used. b) The average length of the queue. c) The average number of students in the system. d) The average time spent waiting in the queue. e) The average time in the system. H - D.3 Paul Fenster owns and manages a chili-dog and soft-
drink stand near the Kean U. campus. While Paul can service
30 customers per hour on the average ([1,), he gets only 20 custom-
ers per hour (A). Because Paul could wait on 50% more customers
than actually visit his stand, it doesn’t make sense to him that he
should have any waiting lines. Paul hires you to examine the situation and to determine some
characteristics of his queue. After looking into the problem, you
find it follows the six conditions for a single-server waiting line (as
seen in Model A). What are your findings? m ‘I—lh‘ M A A _fl H!

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