C.2. Consider the following transportation table: Destination Source A B C D E Supply 1 $12 $8 $5 $10 $4 18 2 $6 $11 $3 $7 $9 14 Demand 6 8 12 4 2 Find the optimal solution of amounts from sources to destinations. Compute the total cost.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 56E
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Answer C.2

C.1. Supply Chain Manager Gabriela Valdez wishes the find the lowest cost shipping routes to ship from
three source cities to three destination cities. Unit costs for each shipping route are in dollars.
To
From
Mexico City
Detroit
Los Angeles
$6
Calgary
$18
Panama City
Supply
$8
100
$17
$13
$19
60
Ottawa
$20
$10
$24
40
Demand
50
80
70
Find the optimal solution to the transportation problem. Compute the total cost.
C.2. Consider the following transportation table:
Destination
Source
A
B
C
D
E
Supply
1
$12
$8
$5
$10
$4
18
2
$6
$11
$3
$7
$9
14
Demand
6
8
12
4
2
Find the optimal solution of amounts from sources to destinations. Compute the total cost.
C.8. The Donna Mosier Clothing Group owns factories in three towns (W, Y, Z) which distributes to three
retail other cities (A, B, C). The following table summarizes factory availabilities, project store demand,
and unit shipping costs:
From To
Dress Shop A
Dress Shop B
Dress Shop C
Factory
Availability
Factory W
$4
$3
$3
35
Factory Y
$6
$7
$6
50
Factory Z
$8
$2
$5
50
Store demand
30
65
40
135
Determine the optimal solution for shipping at the Mosier Clothing Group.
C.15. For the following Gregory Bier Corp. data, find the optimal solution of amounts from sources to
destinations and the total costs.
From To
W
X
Y
Z
Supply
A
$132
$116
$250
$110
220
B
$220
$230
$180
$178
300
C
$152
$173
$196
$164
435
Demand
160
120
200
230
Transcribed Image Text:C.1. Supply Chain Manager Gabriela Valdez wishes the find the lowest cost shipping routes to ship from three source cities to three destination cities. Unit costs for each shipping route are in dollars. To From Mexico City Detroit Los Angeles $6 Calgary $18 Panama City Supply $8 100 $17 $13 $19 60 Ottawa $20 $10 $24 40 Demand 50 80 70 Find the optimal solution to the transportation problem. Compute the total cost. C.2. Consider the following transportation table: Destination Source A B C D E Supply 1 $12 $8 $5 $10 $4 18 2 $6 $11 $3 $7 $9 14 Demand 6 8 12 4 2 Find the optimal solution of amounts from sources to destinations. Compute the total cost. C.8. The Donna Mosier Clothing Group owns factories in three towns (W, Y, Z) which distributes to three retail other cities (A, B, C). The following table summarizes factory availabilities, project store demand, and unit shipping costs: From To Dress Shop A Dress Shop B Dress Shop C Factory Availability Factory W $4 $3 $3 35 Factory Y $6 $7 $6 50 Factory Z $8 $2 $5 50 Store demand 30 65 40 135 Determine the optimal solution for shipping at the Mosier Clothing Group. C.15. For the following Gregory Bier Corp. data, find the optimal solution of amounts from sources to destinations and the total costs. From To W X Y Z Supply A $132 $116 $250 $110 220 B $220 $230 $180 $178 300 C $152 $173 $196 $164 435 Demand 160 120 200 230
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