COMEDK · Maths · 35. Linear Programming
The maximum value of \(P=500 x+400 y\) for the given constraints \(x+y \leq 200, \quad x \geq 20, \quad y \geq 4 x, \quad y \geq 0\) is
- A 84,000
- B 96,000
- C 98,000
- D 82,000
Answer & Solution
Correct Answer
(A) 84,000
Step-by-step Solution
Detailed explanation
The constraints are given as: 1) \(x + y \leq 200\) 2) \(x \geq 20\) 3) \(y \geq 4x\) 4) \(y \geq 0\) The feasible region is determined by the intersection of these lines. We find the vertices of the feasible region: Intersection of \(x = 20\) and \(y = 4x\): \(x = 20\),…
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