The feasible region for an LPP is shown in following figure. Find the minimum value of `Z=11x+7y.`

Options

A. `22`
B. `23`
C. `24`
D. `21`

Answer

D

Explanation

From the figure, it is clear that feasible region is bounded with corrdinates of corner points as (0,3),(3,2) and (0,5). Here Z=11x+7y.
`therefore x+3y=9 and x+y=5`
`Rightarrow 2y=4`
`therefore y=2 and x=3`
So, intersection points of x+y=5 and x+3y=9 is (3,2)

Hence, the minimum value of Z is 21 at (0,3)