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The following table shows the unit cost of transportation associated from ith source to jth destination. The demand and supply at different location are also given in table. The initial basic feasible solution using Vogel’s approximation method is
  • a)
    Degenerate solution and transportation cost is 85
  • b)
    Non-degenerate solution and transportation cost is 85
  • c)
    Degenerate solution and transportation cost is 89
  • d)
    Redundant solution
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The following table shows the unit cost of transportation associated f...
Total demand = 3 + 4 + 6 + 7 + 10 = 30
Total supply = 5+13+12 = 30
As, Total supply = Total demand, i.e., problem is balanced
No. of filled cell = 7
The required no. of cell = m + n - 1 = 5 + 4 - 1 = 8
If, No. of filled cell < required="" no.="" of="" cell="" degenerate="" />
If, No. of filled cell = required no. of cell non degenerate solution
IIf, No. of filled cell > required no. of cell redundant solution
As, no. of filled cell < required="" no.="" of="" cell,="" so="" the="" solution="" is="" degenerate="" and="" the="" corresponding="" transportation="" cost="" is="" given="" />
Total transportation cost = 2×4 + 2×1 + 2×3 + 6×3 + 4×6 + 7×3 +10×1 = 89
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The following table shows the unit cost of transportation associated from ith source to jth destination. The demand and supply at different location are also given in table. The initial basic feasible solution using Vogel’s approximation method isa)Degenerate solution and transportation cost is 85b)Non-degenerate solution and transportation cost is 85c)Degenerate solution and transportation cost is 89d)Redundant solutionCorrect answer is option 'C'. Can you explain this answer?
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The following table shows the unit cost of transportation associated from ith source to jth destination. The demand and supply at different location are also given in table. The initial basic feasible solution using Vogel’s approximation method isa)Degenerate solution and transportation cost is 85b)Non-degenerate solution and transportation cost is 85c)Degenerate solution and transportation cost is 89d)Redundant solutionCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The following table shows the unit cost of transportation associated from ith source to jth destination. The demand and supply at different location are also given in table. The initial basic feasible solution using Vogel’s approximation method isa)Degenerate solution and transportation cost is 85b)Non-degenerate solution and transportation cost is 85c)Degenerate solution and transportation cost is 89d)Redundant solutionCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following table shows the unit cost of transportation associated from ith source to jth destination. The demand and supply at different location are also given in table. The initial basic feasible solution using Vogel’s approximation method isa)Degenerate solution and transportation cost is 85b)Non-degenerate solution and transportation cost is 85c)Degenerate solution and transportation cost is 89d)Redundant solutionCorrect answer is option 'C'. Can you explain this answer?.
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