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The corner points of the feasible region determined by x+y≤8, 2x+y≥8, x≥0, y≥0 are A (0, 8), B (4, 0) and C (8, 0). If the objective function Z =
Question

The corner points of the feasible region determined by
x+y≤8, 2x+y≥8, x≥0, y≥0
are A (0, 8), B (4, 0) and C (8, 0). If the objective function Z = ax + by has its maximum value on the line segment AB, then the relation between a and b is:

A.

8a+4=b

B.

a=2b

C.

b=2a

D.

8b+4=a

Correct option is B

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