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GUJCET · Maths · Linear Programming
For linear programming problem, the objective function is \(z = px + qy, p, q > 0\). If at the corner points \((0, 10)\) and \((5, 5)\) the value of \(z\) are 90 and 60 respectively, then relation between \(p\) and \(q\) is ________.
- A \(q = 3p\)
- B \(p = 3q\)
- C \(q = 2p\)
- D \(p = 2q\)
Answer & Solution
Correct Answer
(A) \(q = 3p\)
Step-by-step Solution
Detailed explanation
\(p(0) + q(10) = 90 \Rightarrow 10q = 90 \Rightarrow q = 9\) \(p(5) + q(5) = 60 \Rightarrow 5(p + q) = 60 \Rightarrow p + q = 12\)
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