Ma1h2210 Quiz 8 (Sections 12.8-12.9)
Summer, 2012
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Name
Date
/
Dylan Zwick
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Instructions: Please show all of your work as partial credit will be given where
appropriate, arid there may be no credit given for problems where there is no work
shown. All answers should be completely simplified, unless otherwise stated.
1. (20 Points) Express the number 42 as the sum of three positive numbers such that the
product of these three numbers is a maximum.
xY
y(c/a_xy)D
xy-Ky-Yy
ZyZYyyL
Zy- t
Zy-’/
=
O
Y- Y-ly
-y
(LI)
-
Ly
I
=
(3
77
y
/
=
L
3
(‘)(N) (ILL)
5 (1i)L = $ 70
4
,
1
)
1
(ILl, IL
L
-
‘)t
Answer:
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