Question

Fill in the blanks $(i)$ In a $LPP$, the objective function is always $(ii)$ The feasible region for a $LPP$ is always a polygon. $(iii)$ A feasible region of a system of linear inequalities is said to be , if it can be enclosed within a circle. $(iv)$ In a $LPP$, if the objective function $Z = ax + by$ has the same maximum value on two corner points of the feasible region, then every point on the line segment joining these two points give the same value.

• A. a
• B. b
• C. c
• D. d

Answer 1

Answer: (D)

d

Answer 2

$(i)$ In a $LPP$, objective function is always linear. $(ii)$ The feasible region for a $LPP$ is always a convex polygon. $(iii)$ A feasible region of a system of linear inequalities is said to be bounded, if it can be enclosed within a circle. $(iv)$ In a $LPP$, if the objective function $Z = ax + by$ has the same maximum value on two corner points of the feasible region, then every point on the line segment joining these two points give the same maximum value.