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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 = 1000x + 600y
subject to the constraints
$\begin{aligned} x+y & \leq 200 \\ x & \geq 20 \\ y-4 x & \geq 0 \\ x, y & \geq 0\end{aligned}$
✓

Answer


Image
Corner pointsValue of Z = 1000x + 600y
(20,80)
(40, 160)
(20, 180)		68,000
$1,36,000 \rightarrow$ Maximum
1,28,000
$\therefore$ Maximum value, Z = 1, 36000
at x = 40 y = 160

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