Question 1 A Highway contractor has four locations A, B, C, and D on a road contract which crushed stone is to be delivered. The stone, which is all of the same quality is to be supplied from three quarries 1, 2, and 3. The table below shows the relative transportation cost per cubic meter of transporting stone from each quarry to each site. Location Quarry output (m³) Quarry A D Relative transportation costs ($ per m') 1 10 15 11 120 12 8. 6. 3 255 3 10 6. 13 60 45 105 150 135 Quantities required at each location (m³) a) What is the optimal allocation of the crushed stone from each quarry to each location? b) What is the transportation cost corresponding to the solution obtained in part a?
Question 1 A Highway contractor has four locations A, B, C, and D on a road contract which crushed stone is to be delivered. The stone, which is all of the same quality is to be supplied from three quarries 1, 2, and 3. The table below shows the relative transportation cost per cubic meter of transporting stone from each quarry to each site. Location Quarry output (m³) Quarry A D Relative transportation costs ($ per m') 1 10 15 11 120 12 8. 6. 3 255 3 10 6. 13 60 45 105 150 135 Quantities required at each location (m³) a) What is the optimal allocation of the crushed stone from each quarry to each location? b) What is the transportation cost corresponding to the solution obtained in part a?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A Highway contractor has four locations A, B, C, and D on a road contract which crushed stone is to be delivered. The stone, which is all of the same quality is to be supplied from three quarries 1, 2, and 3. The table attached shows the relative transportation cost per cubic meter of transporting
stone from each quarry to each site.
a) What is the optimal allocation of the crushed stone from each quarry to each location?
b) What is the transportation cost corresponding to the solution obtained in part a?
Transcribed Image Text:Question 1
A Highway contractor has four locations A, B, C, and D on a road contract which crushed stone is
to be delivered. The stone, which is all of the same quality is to be supplied from three quarries 1,
2, and 3. The table below shows the relative transportation cost per cubic meter of transporting
stone from each quarry to each site.
Location
Quarry
A
output (m³)
Quarry
В
C
Relative transportation costs ($ per m')
1
9.
10
15
11
120
12
8.
6.
3
255
3
10
6.
13
60
45
105
150
135
Quantities required at each location (m³)
a) What is the optimal allocation of the crushed stone from each quarry to each location?
b) What is the transportation cost corresponding to the solution obtained in part a?
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