If Given Constraints Are 5x + 4y ≥ 2, X ≤ 6, Y ≤ 7 , Then The ... - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathematicsGraphical Method of Solving Linear Programming ProblemsQuestionIf given constraints are 5x+4y≥2,x≤6,y≤7, then the maximum value of the function z=x+2y is
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A14B20C13D15Open in AppSolutionVerified by Toppr

Given,z=x+2yand 5x+4y=2⇒x25+y12=1At point A(25,0),z=25+0=25At point B(6,0),z=6+0=6At point C(6,7),z=6+14=20At point D(0,7),z=0+2(7)=14At point E(0,12),z=0+2(12)=1∴ The maximum value of z is 20.1047034_462252_ans_e2bf80a8871d483ca9a7ed7c0e27d29b.png

Was this answer helpful?1Similar QuestionsQ1If given constraints are 5x+4y≥2,x≤6,y≤7, then the maximum value of the function z=x+2y isView SolutionQ2The maximum value of z = 3x + 4y subject to the constraints x + y ≤ 40, x + 2y ≤ 60 x, y ≥ 0, is ____________.

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