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A linear programming problem is given by where subject to the constraints: [Analysis] Solve…
A linear programming problem is given by $Z = px + qy$ where $p, q > 0$ subject to the constraints:
$x + y \le 60, 5x + y \le 100, x \ge 0 \text{ and } y \ge 0$ [Analysis]
(i)
Solve graphically to find the corner points of the feasible region.
(ii)
If $Z = px + qy$ is maximum at $(0, 60)$ and $(10, 50)$, find the relation of $p$ and $q$. Also mention the number of optimal solution(s) in this case.
Answer
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From ISC 2025 Specimen Mathematics Paper 1, question 22.