Recall the Martin-Beck Company distribution system problem shown below. Min 5x1 + 2x12 + 3x13 + 4x21 + 3x22 + 4x23 + 9x31 + 7x32 + 5x33 + 10x41 +4x42 + 2x43 + &r5ı + 4x52 + 3xs3 + 175yı + 300y2 + 375y3 + 500y4 s.t. < 10yı Detroit capacity < 20y2 Toledo capacity < 30yz Denver capacity < 40y4 Kansas City capacity < 30 St. Louis capacity X1 + x12 + x13 x21 + x22 + x23 X31 + x32 + x33 X41 + x42 + xX43 X51 + X52 + x53 XI1 + x21 +x31 + x41 + x51 = 30 Boston demand %3D X12 + x22+ x32 + x42+ x52 = 20 Atlanta demand x13 + x23 + x33 + x43 + x53 = 20 Houston demand Xj 2 0 for all i and j; yı, y2. y3, Y4 = 0, 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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b. Modify the formulation shown above to account to the policy restriction that no more than two plants can be located in Denver, Kansas City, St. Louis. Note: all answers should be whole
numbers.
New Optimal Solution:
211 =
212 =
213 =
221 =
223 =
I31 =
232 =
233 =
241 =
242 =
X
243 =
251 =
X
252 =
253 =
Y1 =
Y2 =
Y3 =
Y4 =
Value =
860
Transcribed Image Text:b. Modify the formulation shown above to account to the policy restriction that no more than two plants can be located in Denver, Kansas City, St. Louis. Note: all answers should be whole numbers. New Optimal Solution: 211 = 212 = 213 = 221 = 223 = I31 = 232 = 233 = 241 = 242 = X 243 = 251 = X 252 = 253 = Y1 = Y2 = Y3 = Y4 = Value = 860
Problem 7-13
Recall the Martin-Beck Company distribution system problem shown below.
Min 5x11 + 2x2 + 3x13 + 4x21 + 3x22 + 4x23 + 9x31 + 7x32 + 5x3z + 10x41 + 4x42
+ 2x43 + 8x51 + 4x52 + 3x53 + 175yı + 300y2 + 375y3 + 500y4
s.t.
< 10y Detroit capacity
< 20y2 Toledo capacity
< 30y; Denver capacity
< 40y4 Kansas City capacity
St. Louis capacity
Elx + 7ix + Ix
X21 + x22 + x23
X31 + x32 + x33
X41 + x42 + X43
X51 + X52 + X53
< 30
XI1 + x21 +x31 + x41 + rSı
= 30
Boston demand
x12 + x22 + x32 + x42 + x52
= 20
Atlanta demand
x13 + x23 + x33 + x43 + xs3
= 20
Houston demand
X; 2 0 for all i and j; yı, y2. y3. y4 = 0, 1
Transcribed Image Text:Problem 7-13 Recall the Martin-Beck Company distribution system problem shown below. Min 5x11 + 2x2 + 3x13 + 4x21 + 3x22 + 4x23 + 9x31 + 7x32 + 5x3z + 10x41 + 4x42 + 2x43 + 8x51 + 4x52 + 3x53 + 175yı + 300y2 + 375y3 + 500y4 s.t. < 10y Detroit capacity < 20y2 Toledo capacity < 30y; Denver capacity < 40y4 Kansas City capacity St. Louis capacity Elx + 7ix + Ix X21 + x22 + x23 X31 + x32 + x33 X41 + x42 + X43 X51 + X52 + X53 < 30 XI1 + x21 +x31 + x41 + rSı = 30 Boston demand x12 + x22 + x32 + x42 + x52 = 20 Atlanta demand x13 + x23 + x33 + x43 + xs3 = 20 Houston demand X; 2 0 for all i and j; yı, y2. y3. y4 = 0, 1
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