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The minimum value of Z = 5x - 4y subject...

The minimum value of Z = 5x - 4y subject to constraints ` x+y le 10 , y le 4, x,y gt 0 ` will be at the point

A

(10,4)

B

(-10,4)

C

(6,4)

D

(0,4)

Text Solution

Verified by Experts

The correct Answer is:
D
Here, QRSOQ is the feasible region

`"Given , " "Z=5x -4y `
`"At Q(0,4), " "Z= -16 (minmum) `
`"At R (6,4), " "Z=14 `
`"At O(0,0), " "Z=0 `
`"At S(10,0), , " "Z=50 `
`therefore ` Minimum value of Z is - 16 which is attained at point (0,4)
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