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MODEL PAPER 2025 — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSMODEL PAPER 20251 Mark
Question
For the linear programming problem (LPP), the objective function is Z= 4x+3y and the feasible region determined by a set of constraints is shown in the graph:
Image
Which of the following statements is true?
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Answer

Corner point Value of the objective function Z = 4x + 3y
1. O(0, 0) z = 0
2. R(40, 0) z = 160
3. Q(30,20) z = 120 + 60 = 180
4. P(0,40) z = 120
Since, the feasible region is bounded so the maximum value of the objective function z = 180 is at Q(30, 20)

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