3) Write the constraints X11+ X21+ X31 = 40 X12 + X22+ X32 = 50 X13+ X23+ X33 = 60 X11 + X12 + X13 <= 70 X21 + X22+ X23 <= 50 X31+ X32+ X33 <= 30 4) Non-negativity constraints Project A requirements Project B requirements Project C requirements Plant 1 capacity Plant 2 capacity Plant 3 capacity column column column row row row

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
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
15
16
17
18
19
20
21
22
23
24
25
26
27
28
37
1
1
1
1
1
1
LHS
Sign
0 =
0 =
0 =
0 <=
0 <=
0 <=
RHS
40
50
60
70
50
30
3) Write the constraints
X11 + X21 + X31 = 40
X12 + X22 + X32 = 50
X13+ X23+ X33 = 60
X11 + X12 + X13 <= 70
X21 + X22 + X23 <= 50
X31 + X32 + X33 <= 30
4) Non-negativity constraints
All variables >= 0
Project A requirements
Project B requirements
Project C requirements
Plant 1 capacity
Plant 2 capacity
Plant 3 capacity
column
column
column
row
row
row
Transcribed Image Text:15 16 17 18 19 20 21 22 23 24 25 26 27 28 37 1 1 1 1 1 1 LHS Sign 0 = 0 = 0 = 0 <= 0 <= 0 <= RHS 40 50 60 70 50 30 3) Write the constraints X11 + X21 + X31 = 40 X12 + X22 + X32 = 50 X13+ X23+ X33 = 60 X11 + X12 + X13 <= 70 X21 + X22 + X23 <= 50 X31 + X32 + X33 <= 30 4) Non-negativity constraints All variables >= 0 Project A requirements Project B requirements Project C requirements Plant 1 capacity Plant 2 capacity Plant 3 capacity column column column row row row
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