Question:
Corner points of the feasible region for an LPP, are (0, 2), (3, 0), (6, 0) and (6, 8). If z = 2x + 3y is the objective function of LPP then max. (z)-min.(z) is equal to:
Corner points of the feasible region for an LPP, are (0, 2), (3, 0), (6, 0) and (6, 8). If z = 2x + 3y is the objective function of LPP then max. (z)-min.(z) is equal to:
Updated On: Jan 4, 2024
- 30
- 24
- 21
- 9
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The Correct Option is A
Solution and Explanation
Objective function as per question for all LPP is \(z = 2x + 3y\)
\(\Rightarrow\) corner point \((0, 2)\)
\(\Rightarrow\) \(z = 2x + 3y\)
= \(2 × 0 + 3 × 2 = 6\)
The difference between \(z's\) highest and lowest values is = \(36 - 6\)
= \(30\).
Hence, the correct option is (A): \(30\)
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