1) Define variables Xij = number of units shipped from Plant X to Project J let I = 1,2,3 with 1 = Plant 1, 2 = Plant 2, 3 = Plant 3 let j = 1,2,3 with 1 = Project A, 2 = Project B, 3 = Project C (ie number them no matter what they are called in the table) 2) Develop the objective function Minimize total cost = 10X11 + 4X12 + 11X13 + 12X21 +5X22 +8X23 +9X31 +7X32 + 6X33

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
3
4
6
7
8
2
Y21
3
4 in the problem)
5
9
10
11 X31
2
H
9
X32
:X ✓ fx
1
7
X33
J
6
Total
K
0
L
M
N
O
P
Q
R
S
1) Define variables.
Xij = number of units shipped from Plant X to Project J
T
let 1 = 1,2,3 with 1 = Plant 1, 2 = Plant 2, 3 = Plant 3
let j = 1,2,3 with 1 = Project A, 2 = Project B, 3 = Project C
(ie number them no matter what they are called in the table)
U
V
W
2) Develop the objective function
Minimize total cost = 10X11 + 4X12 + 11X13 + 12X21 + 5X22 + 8X23 + 9X31 + 7X32 + 6X33
X
Transcribed Image Text:3 4 6 7 8 2 Y21 3 4 in the problem) 5 9 10 11 X31 2 H 9 X32 :X ✓ fx 1 7 X33 J 6 Total K 0 L M N O P Q R S 1) Define variables. Xij = number of units shipped from Plant X to Project J T let 1 = 1,2,3 with 1 = Plant 1, 2 = Plant 2, 3 = Plant 3 let j = 1,2,3 with 1 = Project A, 2 = Project B, 3 = Project C (ie number them no matter what they are called in the table) U V W 2) Develop the objective function Minimize total cost = 10X11 + 4X12 + 11X13 + 12X21 + 5X22 + 8X23 + 9X31 + 7X32 + 6X33 X
M10
:X ✓ fx
A
B
1 SOLVED PROBLEM EXAMPLES Pg 338
2
3 From/TO
4 Plant 1
5
Plant 2
6
Plant 3
7 Project Requirements
8
9
10
11 Variables
12 Unit
13 Objective Function
14
15 Constraints
16 Project A requirements
17 Project B requirements
18 Project C requirements
19 Plant 1 capacity
20 Plant 2 capacity
21 Plant 3 capacity
22
23
24
25
X11
10
1
Project A Project B Project C Plant Capacity
10
11
12
9
40
1
C
X12
45
7
50
4
D
TRANSPORTATION PROBLEM
1
1
X13
8
6
60
11
E
1
1
X21
70
50
30
12
1
1
X22
F
LO
5
1
1
G
X23
(see table in the problem)
8
1
1
H
X31
9
1
1
X32
7
1
1
X33
J
6
1
1
K
Total
LHS
0
Sign
0 =
0 =
0 =
0 <=
0 <=
0 <=
L
M
RHS
40
50
60
70
50
30
N
Transcribed Image Text:M10 :X ✓ fx A B 1 SOLVED PROBLEM EXAMPLES Pg 338 2 3 From/TO 4 Plant 1 5 Plant 2 6 Plant 3 7 Project Requirements 8 9 10 11 Variables 12 Unit 13 Objective Function 14 15 Constraints 16 Project A requirements 17 Project B requirements 18 Project C requirements 19 Plant 1 capacity 20 Plant 2 capacity 21 Plant 3 capacity 22 23 24 25 X11 10 1 Project A Project B Project C Plant Capacity 10 11 12 9 40 1 C X12 45 7 50 4 D TRANSPORTATION PROBLEM 1 1 X13 8 6 60 11 E 1 1 X21 70 50 30 12 1 1 X22 F LO 5 1 1 G X23 (see table in the problem) 8 1 1 H X31 9 1 1 X32 7 1 1 X33 J 6 1 1 K Total LHS 0 Sign 0 = 0 = 0 = 0 <= 0 <= 0 <= L M RHS 40 50 60 70 50 30 N
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