Question:
Minimise Z=sumᵢ=1ⁿsumj=1ᵐ cᵢjxᵢj
Subject to
sumᵢ=1ⁿ xᵢj=bj, j=1,2,…,m
sumj=1ᵐ xᵢj=bᵢ, i=1,2,…,n
is a LPP with number of constraints
Minimise Z=sumᵢ=1ⁿsumj=1ᵐ cᵢjxᵢj
Subject to
sumᵢ=1ⁿ xᵢj=bj, j=1,2,…,m
sumj=1ᵐ xᵢj=bᵢ, i=1,2,…,n
is a LPP with number of constraints
Show Hint
In transportation-type LPPs, constraints come from both rows and columns.
Updated On: Mar 20, 2026
- \(m-n\)
- \(mn\)
- \(m+n\)
- (m)/(n)
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The Correct Option is C
Solution and Explanation
There are m column constraints and n row constraints.
Hence, total number of constraints =m+n.
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