In the following the feasible region (shaded) for a LPP is shown Determine the maximum and minimum value of `Z=x+2y`

Options

A. maximum = `7` minimum = `4(7)/(9)`
B. maximum = `9` minimum = `3(1)/(7)`
C. maximum = `10` minimum = `3(4)/(5)`
D. maximum = `8` minimum = `5(4)/(7)`

Answer

B

Explanation

From the shaded bounded region. It is clear the coordinates of corner points are
`((3)/(13),(24)/(13)), ((18)/(7),(2)/(7)),((7)/(2),(3)/(4)) and ((3)/(2),(15)/(4))`
Also we have to determine maximum and minimum value of Z=x+2y.

Hence, the maximum and minimum value of Z are 9 and `3(1)/(7)`, respectively