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y se le LUSL. Example 37. A company has two factories located at P and Q and has three depots situated at A, B and C. The weekly requirement of the depots at A, B and C is respectively 5, 5 and 4 units, while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost (in 3) of transportation per unit is given below. Cost (in ) TO A B C From 160 100 120 150 100 100 (NCERT) Hore many units should be transported from each factory to each depot in order that the transportation cost is minimum?

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Q1
There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be delivered to each of the three depots situated at A, B and C. The weekly requirements of the depots are respectively 5,5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportation per unit is given below:

From/To

Cost (in Rs.)

A

B

C

P

160

100

150

Q

100

120

100



How many units should be transported from each factory to each depot in order that the transportation cost is minimum. What will be the minimum transportation cost?
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Q2
(Transportation problem) There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be delivered to each of the three depots situated at A,B and C. The weekly requirements of the depots are respectively 5,5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportation per unit is given below:
From / To Cost (in Rs)Cost (in Rs)Cost (in Rs)
ABC
P160100150
Q100120100
How many units should be transported from each factory to each depot in order that the transportation cost is minimum. What will be the minimum transportation cost?
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Q3
There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be delivered to each of the three depots situated at A, B and C. The weekly requirements of the depots are respectively 5, 5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportation per unit is given below:
From \ To Cost (in ₹)
A B C
P 160 100 150
Q 100 120 100

How many units should be transported from each factory to each depot in order that the transportation cost is minimum. What will be the minimum transportation cost?
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Q4
There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be delivered to each of the three depots situated at A, B, and C. The weekly requirements of the depots are respectively 5,5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportation per unit is given below:

How many units should be transported from each factory to each depot in order that the transportation cost is minimum. What will be the minimum transportation cost ?
View Solution
Q5
There are two factories located one at place P and the other at place Q. From these locations, a certain commodity is to be delivered to each of the three depots situated at A, B and C. The weekly requirements of the depots are respectively 5, 5 and 4 units of the commodity while the production capacity of the factories at P and Q are respectively 8 and 6 units. The cost of transportation per unit is given below:
Figure

How many units should be transported from each factory to each depot in order that the transportation cost is minimum. What will be the minimum transportation cost?
View Solution