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For an objective function Z = ax + by," ...

For an objective function `Z = ax + by," where "a,b gt 0,` the corner points of the feasible region determined by a set of constraints (linear inequalities) are (0, 20), (10, 10), (30, 30) and (0, 40). The condition on a and b such that the maximum Z occurs at both the points (30, 30) and (0, 40) is:

A

`b-3a=0`

B

`a=3b`

C

`a+2b=0`

D

`2a-b=0`

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