Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

For a LPP the feasible solution region is as shown above and the objective function is

Min z = 10 x+ 5y

Then minimum value of x is :

Options:

80 at (6, 4)

0 at (0, 0)

40 at (0, 8)

50 at (0, 10)

Correct Answer:

50 at (0, 10)

Explanation:

The correct answer is Option (4) → 50 at (0, 10)

corner points   value of Z
$A(0,10)$ $Z_A=50$
$B(6,4)$ $Z_B=80$
$C(16,0)$ $Z_C=160$

Minimum value of Z = 50 at (0, 10)