Q. 325.0( 2 Votes )

Corner points of A. (0, 2) only

B. (3, 0) only

C. the midpoint of the line segment joining the points (0, 2) and (3, 0) only

D. any point on the line segment joining the points (0, 2) and (3, 0).

Correct

Answer :

F = 4x + 6y



Corner points - (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5).


Value of F at corner points –


At (0, 2), F = 12


At (3, 0), F = 12


At (6, 0), F = 24


At (6, 8), F = 72


At (0, 5), F = 30


Feasible region –


As, feasible region to be bounded so it is a closed polygon.


So, minimum value of F = 12 are at (3, 0) and (0, 2).


Therefore, minimum value of F occurs at, any point on the line segment joining the points (0, 2) and (3, 0).

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