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Mathematics Question on Linear Programming Problem

The feasible region of an LPP is shown in the figure . If z=3x+9y,z = 3x + 9y , then the minimum value of z occurs at

A

(5,5)

B

(0,10)

C

(0,20)

D

(15,15)

Answer

(5,5)

Explanation

Solution

Corner Points
z = 3x + 9y

(5, 5)
z = 60

(0, 10)
z = 90

(0, 20)
z = 180

(15, 15)
z = 180

∴\therefore Minimum value of z occurs at (5, 5)