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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Find the Graphical Solution for Following System of Linear Inequations

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प्रश्न

Find the graphical solution for following system of linear inequations

`"x"_1/60 + "x"_2/90 <= 1 ; 5x_1 + 8x_2 ≤ 600 , x_1 ≥ 0 , x_2 ≥ 0`

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उत्तर

In equation Equation Points Region
`"x"_1/60 + "x"_2/90 <= 1` `"x"_1/60 + "x"_2/90 = 1` (60 , 0)
(0 , 90)
Origin side
5x1 + 8x2 ≤ 600 5x1 + 8x2 = 600 (0,75)
(120 , 0)
Origin side

Solution is Region OABC.

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2015-2016 (July)

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