PRACTICAL MGT. SCIENCE (LL)-W/MINDTAP
6th Edition
ISBN: 9781337610278
Author: WINSTON
Publisher: CENGAGE L
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Chapter 12.5, Problem 12P
Summary Introduction
To determine: The number of minutes to wait in a queue that has 5 percent of chance.
Introduction: In order to predict the waiting time and length of the queue, queueing model will be framed. Queueing theory is the mathematical model that can be used for the decision-making process regarding the resources required to provide a service.
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The binding constraints for this problem are the second and third constraints are binding.
Min x1 + 2x2
s.t.
x1 + x2 ≤ 300
2x1 + x2 ≥ 400
2x1 + 5x2 ≥750
X1, X220
(a) Keeping the second objective function coefficient fixed at 2, over what range can the first objective function coefficient vary before there is a change in the optimal solution point?
The first objective coefficient can from a low of
to a high of
(b) Keeping the first objective function coefficient fixed at 1, over what range can the second objective function coefficient vary before there is a change in the optimal solution point?
The second objective coefficient can from a low of
to a high of
(c) If the objective function becomes Min 1.5x₁ + 2x2, what will be the optimal values of x1 and x2?
x1 =
X2
=
What is the value of the objective function at the minimum?
(d) If the objective function becomes Min 7x₁ + 6x2, what constraints will be binding? (Select all that apply.)
First Constraint
Second Constraint
Third Constraint…
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The Clark County Sheriff's Department schedules police officers for 8-hour shifts. The beginning times for the shifts are 8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m. An officer beginning a shift at one of these times works for the next 8 hours. During
normal weekday operations, the number of officers needed varies depending on the time of day. The department staffing guidelines require the following minimum number of officers on duty:
Time of Day
8:00 A.M. Noon
Noon
-
4:00 P.M.
Minimum Officers Time of Day on Duty
4
7
4:00 P.M. - 8:00 P.M.
11
8:00 P.M. Midnight
6
Midnight 4:00 A.M.
4:00 A.M. -8:00 A.M.
3
7
Determine the number of police officers that should be scheduled to begin the 8-hour shifts at each of the six times (8:00 a.m., noon, 4:00 p.m., 8:00 p.m., midnight, and 4:00 a.m.) to minimize the total number…
discuss in detail the benefits of working in a team
Chapter 12 Solutions
PRACTICAL MGT. SCIENCE (LL)-W/MINDTAP
Ch. 12.3 - Prob. 1PCh. 12.3 - Explain the basic relationship between the...Ch. 12.3 - Prob. 3PCh. 12.3 - Prob. 4PCh. 12.4 - Prob. 5PCh. 12.4 - Prob. 6PCh. 12.4 - Prob. 7PCh. 12.4 - Prob. 8PCh. 12.5 - Prob. 9PCh. 12.5 - Prob. 10P
Ch. 12.5 - Prob. 11PCh. 12.5 - Prob. 12PCh. 12.5 - Prob. 13PCh. 12.5 - Prob. 14PCh. 12.5 - Prob. 15PCh. 12.5 - Prob. 16PCh. 12.5 - Prob. 17PCh. 12.5 - Prob. 18PCh. 12.5 - Prob. 19PCh. 12.5 - Prob. 20PCh. 12.5 - Prob. 21PCh. 12.5 - Prob. 22PCh. 12.5 - On average, 100 customers arrive per hour at the...Ch. 12.5 - Prob. 24PCh. 12.5 - Prob. 25PCh. 12.5 - Prob. 26PCh. 12.5 - Prob. 27PCh. 12.5 - Prob. 28PCh. 12.5 - Prob. 29PCh. 12.5 - Prob. 30PCh. 12.5 - Prob. 31PCh. 12.5 - Prob. 32PCh. 12.5 - Prob. 33PCh. 12.5 - Prob. 34PCh. 12.5 - Prob. 35PCh. 12.5 - Two one-barber shops sit side by side in Dunkirk...Ch. 12.5 - Prob. 37PCh. 12 - Prob. 46PCh. 12 - Prob. 47PCh. 12 - Prob. 48PCh. 12 - Prob. 49PCh. 12 - Prob. 50PCh. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 54PCh. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Prob. 59PCh. 12 - Prob. 60PCh. 12 - Prob. 61P
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