EMGT 501 Fall 2004 Midterm Exam

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EMGT 501Fall 2004 Midterm Exam

• AN ANSWER EXAMPLE

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• a)
• The variables are as follows.
• x1bread
• x2peanut butter
• x3strawberry jelly
• x4graham cracker
• x5milk
• x6juice

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Maximize Subject to
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b) The simplex solution with WinQSB gives,
(x1, x2, x3, x4, x5, x6) (2,
0.5748, 0.2874, 1.0395, 0.5158,
0.4842) Z47.3106
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2. a) The simplex solution with WinQSB gives,
(x1, x2, x3, x4) ( 0, 2, 0, 2) Z14
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b)
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3. a) A?E ?I 17 months A?C ?F ? I 17 months B?D
?G ? J 17 months B?H ?J 18 months? Mean
Critical Path b)
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c) The other paths, A?E ?I
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c) A?C ?F ? I
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c) B?D ?G ? J
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d) Since these paths do not overlap, a better
estimate of the probability that the project will
be finished within 22 days can be obtained by
multiplying the probabilities of each path
calculated before.
This result shows that the approximate
probability of this drug to be ready within 22
days is 44.
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4. a) Maximize X4 Subject to
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b) The simplex solution with WinQSB gives,
(x1, x2, x3, x4) (0.3109, 0.4538, 0.2353,
1.3529) Zx41.3529