MANAGEMENT SCIENCE (MGMT 306)
Spring Review Problems for Exam 1
Reminders:

The exam is on
February 14, Tuesday, 6:30 – 7:30 p.m.
in EE129 or EE170.
Room and seating
assignments will be announced on Katalyst.

The exam will be
closed
book and notes. You may bring a single 8.5” x 11” sheet of “crib” notes written
on both sides to use in the exam.

Students who are eligible for a makeup exam or need extra time must contact the instructor at least one
week prior to the exam date.

The exam will consist of two parts:
Part 1:
Multiple choice questions on basic concepts of linear and nonlinear programming, the
graphical solution method, Excel model and Solver’s parameters of linear programs, and sensitivity
analysis of linear programs using the Excel output.
Part 2:
Linear programming modeling questions.
Question I.
Using the following constraints and their graphical representation, answer the following multiple
choice questions. The shaded region with corner points A, B, C, D is the feasible region.
1
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If the objective function is to Minimize x + 2y, which of points A, B, C, D is optimal?
a.
Point A
b.
Point B
c.
Point C
d.
Point D
2.
If the objective function is to Maximize 3x + 5y, which of points A, B, C, D will be optimal?
a.
Both C and D
b.
Only A
c.
Only C
d.
Only D
3. At which of the points A, B, C, D does constraint 3 have a surplus (is not binding)?
a.
Only A
b.
Both A and B
c.
Only C
d.
Both C and D
4.
If x – y
≥
2 is added as an additional constraint, which of the points A, B, C and D will still
be feasible?
a.
C and D will be feasible, A and B will be infeasible
b.
A, C and D will be feasible, B will be infeasible
c.
B will be feasible, A, C and D will be infeasible
d.
None of A, B, C, D will be feasible
5.
Which of the following changes would make the feasible region infeasible (empty)?
a.
Add y
≥
6 as a new constraint
b.
Add x + y
≤
5 as a new constraint
c.
Add x
≤
7 as a new constraint
d.
Delete constraint 3
6.
Which of the following changes would make the feasible region unbounded?
a.
Delete constraint 4
b.
Delete constraints 1 and 2
c.
Delete constraints 2 and 4
d.
None of the above
7.
Which of the following are components of a mathematical model for decision making?
a. Decision variables
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 Spring '08
 Staff
 Management, Linear Programming, Optimization, optimal solution, linear programming model, regular model, TE Stock

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