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Solve the following linear programming problem.
A linear programming problem is given by where subject to the constraints: , , and (Analysis) Solve…
A linear programming problem is given by $Z = px + qy$ where $p, q > 0$ subject to the constraints:
$x + y \le 60$, $5x + y \le 100$, $x \ge 0$ and $y \ge 0$ (Analysis)
(a)[2.0]
Solve graphically to find the corner points of the feasible region.
(b)[2.0]
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 2026 Specimen Mathematics Paper 1, question 22(i).
Check your working with the LPP solver (graphical method): linear programming by the graphical method: the feasible region drawn, corner points and the optimum.