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PROBLEM
• Given the ellipse (X/2)2 + Y2 = 4, itis desired to find the rectangle of
greatest area which will fit inside
the ellipse.
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Y
rea of the rando! "ectangle which will fit inside the ellipse
= 4#$
X
(#,$)
4%4
2
%2%%
%%
&
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MODELLING THE PROBLEM
BY EXCEL SOLVER
'*-* 01-'1 () = 4XY
'1"-1 (g) = (X/2)2+Y2% 4 3 &
"-* () = X , Y
(5a#i!i6e)
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Answer Report
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Sensityvity Report
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Liits Report
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5a#i!7! rea = 89
• :hen
X = 2 2
Y = 2
Y
X
(#,$)
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