BUS 220
–
Introduction to Decision Science
Spring 2011
Assignment 2 due on Thursday, 3/10/2011
NOTE:
The assignment could be done jointly by (at most) 2 students. (Of course, it can be
done by a single person.) In any case, the cover page indicating only student(s) names and
student id(s) should be attached to each assignment
. I will keep this page for my recording
purposes. The first page of the solutions to the assignment should also include student(s)
names and student number(s), so that you can get the solutions back. The assignment is due
BEGINNING of class on the due date. 10% of your grade will be deducted if the work is
not presented in a clear and neat manner.

Problem 1
Grand Pizza Inc. produces two pizza products. Letting
C= number of Cheese pizzas
D= number of Double pizzas
leads to a formulation:
Max
z = 2 C + 2.5 D
s.t.
10 C + 14 D
8960
Dough
6 C + 2 D
4160
Cheese
4 C + 4 D
3200 Tomatoes
C, D
0
The Excel solution is enclosed.
a. (5 points)
What is the optimal objective function value, and what are the optimal
values of variables?
b
.
(5 points)
Specify the range of optimality for the objective function coefficients.
c
.
(5 points)
What are the shadow prices for each constraint? Interpret each.
d
.
(5 points)
Identify the range of feasibility for each of the right hand side values (i.e.
in what range the shadow price for a constraint is valid).
Problem 1, Assignment 2
Microsoft Excel 9.0 Answer Report
Target Cell (Max)
Cell
Name
Original Value
Final Value
$B$10 Max
0
1720
Adjustable Cells
Cell
Name
Original Value
Final Value
$C$9
Dec. variables C
0
560
$D$9
Dec. variables D
0
240
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 Fall '08
 drexel
 Operations Research, Linear Programming, LHS, Shadow price, dec. variables

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