Question:
Match LIST I with LIST IIList-I List-II A If the corner points of the feasible region For an LPP are (0, 4), (5, 0), (7, 9), then the minimum value of the objective function Z =5x+y 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 comer 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
Match LIST I with LIST II
Choose the correct answer from the options given below
| List-I | List-II | ||
| A | If the corner points of the feasible region For an LPP are (0, 4), (5, 0), (7, 9), then the minimum value of the objective function Z =5x+y 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 comer 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 |
Updated On: Mar 27, 2026
- A-III, B-IV, C-I, D-II
- A-III, B-I, C-IV, D-II
- A-IV,B-III,C-II, D-I
- A-I, B-III, C-IV, D-II
Show Solution
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The Correct Option is B
Solution and Explanation
To solve the problem, calculate the objective function value for each corner point of the feasible region, then determine the minimum or maximum value as required. Let's examine each case:
- Case A: Corner points: (0, 4), (5, 0), (7, 9). Objective Function: Z = 5x + y.
- For (0, 4): Z=5(0)+4=4
- For (5, 0): Z=5(5)+0=25
- For (7, 9): Z=5(7)+9=44
- Case B: Corner points: (0, 0), (0, 2), (3, 4), (5, 3). Objective Function: Z = 3x + 4y.
- For (0, 0): Z=3(0)+4(0)=0
- For (0, 2): Z=3(0)+4(2)=8
- For (3, 4): Z=3(3)+4(4)=25
- For (5, 3): Z=3(5)+4(3)=29
- Case C: Corner points: (0, 2), (1, 2), (4, 3), (7, 0). Objective Function: Z = x + 5y.
- For (0, 2): Z=0+5(2)=10
- For (1, 2): Z=1+5(2)=11
- For (4, 3): Z=4+5(3)=19
- For (7, 0): Z=7+5(0)=7
- Case D: Corner points: (0, 4), (3, 0), (3, 2), (6, 9). Objective Function: Z = 2x + 6y.
- For (0, 4): Z=2(0)+6(4)=24
- For (3, 0): Z=2(3)+6(0)=6
- For (3, 2): Z=2(3)+6(2)=18
- For (6, 9): Z=2(6)+6(9)=66
A-III, B-I, C-IV, D-II
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