A Highway contractor has four locations A, B, C, and D on a road contract to which crushed stone is to be delivered. The stone, which is all of the same quality is to be supplied from two quarries 1 and 2. The table below shows the relative transportation cost per cubic meter of transporting stone from each quarry to each site. Quarry 1 2 A Location 9 12 45 B с D Relative transportation costs ($ per m³) 15 6 150 10 8 105 Quantities required at each location (m³) 11 3 135 Quarry output (m³) 120 255 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?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A Highway contractor has four locations A, B, C, and D on a road contract to which crushed stone
is to be delivered. The stone, which is all of the same quality is to be supplied from two quarries 1
and 2. The table below shows the relative transportation cost per cubic meter of transporting stone
from each quarry to each site.
Quarry
12
2
A
9
12
45
Location
B
с
D
Relative transportation costs ($ per m³)
15
10
8
105
Quantities required at each location (m³)
11
3
135
6
150
Quarry
output (m³)
120
255
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:A Highway contractor has four locations A, B, C, and D on a road contract to which crushed stone is to be delivered. The stone, which is all of the same quality is to be supplied from two quarries 1 and 2. The table below shows the relative transportation cost per cubic meter of transporting stone from each quarry to each site. Quarry 12 2 A 9 12 45 Location B с D Relative transportation costs ($ per m³) 15 10 8 105 Quantities required at each location (m³) 11 3 135 6 150 Quarry output (m³) 120 255 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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