Question

Choose the correct alternative :

The corner points of the feasible region are (0, 0), (2, 0), `(12/7, 3/7)` and (0,1) then the point of maximum z = 7x + y

Options

• (0, 0)

• (2, 0)

• `(12/7, 3/7)`

• (0, 1)

Answer 1

Z = 7x + y
At (0, 0), Z = 0 + 0 = 0
At (2, 0), Z = 7 (2) + 0 = 14

At `(12/7, 3/7), "Z" = 7(12/7) + (3)/(7) = (87)/(7)` = 12.428

At (0, 1), Z = 0 + 1 = 1.
The maximum value of Z is 14 and it occurs at (2, 0).