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Linear Programming Assignment Help Service
Alex Gerg

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Linear Programming Assignment Help Service
About Linear Programming: Statisticshelpdesk offers
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homework help. Our experts help student in understanding
this otherwise called mathematical optimization technique
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Linear Programming Assignment Illustrations and Solutions
Question-1:
Solution:
Decision Variables:
Let jiX No. of units to be shipped from ith Origin to jth Destination
Here, i = 1, 2, 3(i.e., A, B, C) & j = 1, 2, 3

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Formulation of Linear Programming Model:
Minimize Z = $5X11 + 4X12 + 3X13 + 2X21 + 3X22 + 5X23 + 4X31 + 8X32 + 7X33
Subject to the constraint
X11 + X12 + X13 ≤ 130
X21 + X22 + X23 ≤ 70
X31 + X32 + X33 ≤ 100
X11 + X21 + X31 = 80
X12 + X22 + X32 = 110
X13 + X23 + X33 = 60
All Xi,j ≥ 0

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The above linear programming problem has been solved by the use of Excel solver tool and
the corresponding results are shown in the following table:
From
To (cost)
1 2 3
A $5 $4 $3
B 2 3 5
C 4 8 7
DV
From
To
Supply
1 2 3 Constraint
A 0.00 70.00 60.00 130 <= 130
B 30.00 40.00 0.00 70 <= 70
C 50.00 0.00 0.00 50 <= 100
Constraint 80.00 110.00 60.00
= = =
Demand 80 110 60
Objective Minimize Cost $840.00
From the above resultant table, we have
Optimal Solution:
No. of units to be shipped from Origin A to Destination 2: X12 = 70
No. of units to be shipped from Origin A to Destination 3: X13 = 130
No. of units to be shipped from Origin B to Destination 1: X21 = 30
No. of units to be shipped from Origin B to Destination 2: X22 = 40
No. of units to be shipped from Origin C to Destination 1: X31 = 50
Minimum Transportation Cost = $840.

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