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Maximum Number of month is 11.Proof: Sufficient to prove that 12 months are not possible.Let an denote the P&l on the nth month.Then we havea1+a2+a3+a4+a5 <0a2+..............<0......a8+a9+a10+a11+a12<0Now sum of each row is less than zero but sum of every column is positive. Hence can't be true.Possible sequence for 11 months is1,-1.6,1,1,-1.6,1,-1.6,1,1,-1.6,1.
Maximum Number of month is 11.
Proof: Sufficient to prove that 12 months are not possible.
Let an denote the P&l on the nth month.
Then we have
a1+a2+a3+a4+a5 <0
a2+..............<0
..
a8+a9+a10+a11+a12<0
Now sum of each row is less than zero but sum of every column is positive. Hence can't be true.
Possible sequence for 11 months is
1,-1.6,1,1,-1.6,1,-1.6,1,1,-1.6,1.
