Match List-I with List-II.
| List-I | List-II | ||
| (A) |
Corner points of the feasible region for a LPP are (0, 0), (0, 3), (4, 0). The maximum value of objective function $z=3x+5y $ is, |
(I) | 0 |
| (B) |
Corner points of the feasible region for a LPP are (0, 0), (2, 4), (3, 0), (5, 2). The minimum value of objective function $z=x+6y $ is, |
(II) | 4 |
| (C) |
Corner points of the feasible region for a LPP are (0, 0), (0, 5), (7,0), (2, 3), The maximum value of objective function $z=10x+30y$ is , |
(III) | 15 |
| (D) |
Corner points of the feasible region for a LPP are (1, 0), (0, 1), (2, 4), (3, 2), The minimum value of objective function $z=6x+4y $ is, |
(IV) | 150 |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A)-(III), (B)-(I),(C)-(IV), (D)-(II)
(A) $Z_{(0,3)}=3×0+5×3=15$ (III)
(B) $Z_{(0,0)}=3×0+6×0=0$ (I)
(C) $Z_{(0,5)}=10×0+30×5=150$ (IV)
(D) $Z_{(0,1)}=6×0+4×1=4$ (II)