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Question

Mathematics Question on Equation of a Plane

Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5). Let z=4x+6y be the objective function.The minimum value of z occurs at

A

Only (0, 2)

B

Only (3, 0)

C

The mid-point of the line segment joining the points (0, 2) and (3, 0)

D

Any point on the line segment joining the points (0, 2) and (3, 0)

Answer

Any point on the line segment joining the points (0, 2) and (3, 0)

Explanation

Solution

The correct answer is Option (D) : Any point on the line segment joining the points (0, 2) and (3, 0)