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CBSE Class 12 Math 2023 All Sets Solved Paper
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Question : 14 of 20
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The corner points of the feasible region of a linear programming problem are (0, 4), (8, 0) and (20/3, 4/3). If Z = 30x + 24y is the objective function, then (maximum value of Z- minimum value of Z) is equal to:
Solution:
Z = 30x + 24y
maximum value of Z - minimum value of Z = 240 - 96 = 144
| Corner Point | Corresponding value of Z |
|---|---|
| (0, 4) | 96(minimum) |
| (8, 0) | 240(maximum) |
| (20/3, 4/3) | 232 |
maximum value of Z - minimum value of Z = 240 - 96 = 144
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