Match List I with List II
| LIST I | LIST II | ||
| A. | If the corner points of the feasible region for an LPP are 90, 4), (5, 0), (7, 9), then the minimum value of the objective function Z = 5x + 8y, is | I. | 27 |
| B. | If the corner points of the feasible region for an LPP are (0,0), (0, 2) ,(3, 4), (5, 3), then the maximum value of the objective function Z=3x+4y | II. | 60 |
| C. | The corner points of the feasible region for an LPP are (0, 2), (1, 2), (4, 3), (7, 0). The objective function is Z+ x+5y . Then (Max Z+ Min Z) is. | III. | 25 |
| D. | If the corner points of the feasible region for an LPP are (0, 4), (3, 0), ( 3, 2), (6, 9). The objective function is Z=2x+6y. Then (Max Z - Min Z) | IV. | 26 |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A-III, B-I, C-IV, D-II
(A) $Z=5x+8y$
$Z(5,0)=5×5+8×0$
$=25$ is minimum value
(B) $Z=3x+4y$
$Z(5,3)_{max}=3×5+4×3=27$
(C) $X=x+5y$
$Z_{max}(4,3)=4+5×3=19$
$Z_{min}(7,0)=7$
$∴Z_{max}+Z_{min}=19+7=26$
(D) $Z=2x+6y$
$Z_{max}(6,9)=2×6+6×9=66$
$Z_{min}(3,0)=2×3+6×0=6$
$Z_{max}-Z_{min}=60$