If 1,100 Cm² Of Material Is Available To Makea...


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If 1,100 cm² of material is available to makea box with a square base and an open top find the largest possiblevolume of the box.


Answer No.1


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ResponseDetails: If a,band h are the dimesions of the box. abh=48668 fromthe given information, Surfacearea of the open top box is S=ab+2(ah+bh)=1,100 objective is toMaximize V=abh subject to ab+2(ah+bh)=1,100 => h=(1100-ab)/(2(a+b)) => V=ab*(1100-ab)/(2(a+b)) Now,Use maxima and minima method for two variables to solve the aboveproblem. END

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