1.

Find the maximum value of 4x+7y with theconditions 3x+8y le 24, y le2,x ge 0, and y ge 0.

Answer»

14
`(74)/(3)`
`21`
`32`

SOLUTION :Given CONDITION `3x+8y le 24`
`y le 2, x gt 0, y GE 0`.

The vertices of the feasible polygon region are (0,0), (8,0),(8/3,2) nad (0,3).
The MAXIMUM value of the objective function attains at (8,0).
f=4x+7y
The maximum value `=4xx8+7xx0=32`


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