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Question
The feasible region for a LPP is shown in Figure. Find the minimum value of Z = 11x + 7y
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Solution
ABCA is the feasible region.
Corner points C(0, 3), B(0, 5) and for A
We have to solve equations
x + 3y = 9 and x + y = 5
Which gives x = 3, y = 2
i.e., A(3, 2)
Evaluating the value of Z, we get
| Corner points | Value of Z | |
| A(3, 2) | Z = 11(3) + 7(2) = 47 | |
| B(0, 5) | Z = 11(0) + 7(5) = 35 | |
| C(0, 3) | Z = 11(0) + 7(3) = 21 | ← Minimum |
Hence, the minimum value of Z is 21 at (0, 3).
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