Operations and Supply Chain Management
14th Edition
ISBN: 9780078024023
Author: F. Robert Jacobs
Publisher: MCG
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Chapter 14, Problem 5PE
Summary Introduction
To determine: The term for the given concept.
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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…
[-16.66 Points] DETAILS
MY NOTES
CAMMIMS16 4.E.008. 0/1 Submissions Used
A linear programming computer package is needed.
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PRACTICE ANOTHER
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 14 Solutions
Operations and Supply Chain Management
Ch. 14 - Prob. 1DQCh. 14 - Prob. 2DQCh. 14 - Prob. 3DQCh. 14 - Prob. 4DQCh. 14 - Prob. 5DQCh. 14 - Prob. 6DQCh. 14 - Prob. 7DQCh. 14 - Prob. 8DQCh. 14 - Prob. 9DQCh. 14 - Prob. 10DQ
Ch. 14 - Prob. 11DQCh. 14 - Prob. 12DQCh. 14 - Prob. 13DQCh. 14 - Prob. 14DQCh. 14 - Prob. 15DQCh. 14 - Prob. 16DQCh. 14 - Prob. 17DQCh. 14 - Prob. 1OQCh. 14 - Prob. 2OQCh. 14 - Prob. 3OQCh. 14 - Prob. 4OQCh. 14 - Prob. 5OQCh. 14 - Prob. 6OQCh. 14 - Prob. 7OQCh. 14 - Prob. 8OQCh. 14 - Prob. 9OQCh. 14 - Prob. 10OQCh. 14 - Prob. 11OQCh. 14 - Prob. 12OQCh. 14 - Prob. 13OQCh. 14 - Prob. 14OQCh. 14 - Prob. 15OQCh. 14 - Prob. 16OQCh. 14 - Prob. 17OQCh. 14 - Prob. 18OQCh. 14 - Prob. 19OQCh. 14 - Prob. 20OQCh. 14 - Prob. 1.1CQCh. 14 - Prob. 1.2CQCh. 14 - Prob. 1.3CQCh. 14 - Prob. 1.4CQCh. 14 - Prob. 2.1CQCh. 14 - Prob. 2.2CQCh. 14 - Prob. 2.3CQCh. 14 - Prob. 3.1CQCh. 14 - Prob. 3.2CQCh. 14 - Prob. 3.3CQCh. 14 - Prob. 1PECh. 14 - Prob. 2PECh. 14 - Prob. 3PECh. 14 - Prob. 4PECh. 14 - Prob. 5PECh. 14 - Prob. 6PECh. 14 - Prob. 7PECh. 14 - Prob. 8PECh. 14 - Prob. 9PECh. 14 - Prob. 10PECh. 14 - Prob. 11PECh. 14 - Prob. 12PE
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