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Linear Programming — Applied Maths STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceApplied MathsLinear Programming3 Marks
Question
Solve the following LPP graphically:
Maximize z = 4x + y
Subject to following constraints
$\begin{aligned} x+y & \leq 50 \\ 3 x+y & \leq 90 \\ x & \geq 10 \\ x, y & \geq 0\end{aligned}$
✓

Answer


Image
$\begin{aligned}\left.Z\right|_{A(10,0)} & =40 \\ \left.Z\right|_{B(30,0)} & =120 \rightarrow \text { Maximum }\end{aligned}$
$\begin{array}{l}\left.Z\right|_{C(20,30)}=110 \\ \left.Z\right|_{D(10,40)}=80\end{array}$
Maximum value, Z = 120 at (30, 0)

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