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Optimization Problems....! ==''
Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. Let x denote the length of the side of the square being cut out. Let y denote the length of the base.
 one year ago
 one year ago
Optimization Problems....! =='' Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. Let x denote the length of the side of the square being cut out. Let y denote the length of the base.
 one year ago
 one year ago

This Question is Closed

rebootkzBest ResponseYou've already chosen the best response.2
Write an expression for the volume V in terms of x and y.
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
for me the problem is can't understand the situation..
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
dw:1340359906805:dw
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
am I right or not? and then?
 one year ago

dg123Best ResponseYou've already chosen the best response.1
the shaded region will be folded to form the cuboid
 one year ago

dg123Best ResponseYou've already chosen the best response.1
is the answer 1 cubic feet?
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
where is y and x? don't know the answer yet.. you mean the largest volume of such situation should be 1 cubic ft ?
 one year ago

dg123Best ResponseYou've already chosen the best response.1
yes, it is to be solved by AMGM inequality
 one year ago

voodBest ResponseYou've already chosen the best response.0
I think \[V=y \times y \times x =y ^{2}x\]
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
dw:1340360932310:dw
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
@rebootkz is this in calculus chapter ?
 one year ago

dg123Best ResponseYou've already chosen the best response.1
sir i still think the answer is 1 cubic feet
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
write out an equation for V :
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
V = (3  2x)^2(x) = (9  12x + 4x^2)(x) = 9x  12x^2 + 4x^3 V'=3(2X3)(2X1)
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
V' = 0, and find out X values
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
X=1/2 OR 3/2 V(1/2)=2 V(3/2)=0 SO IT'S 2
 one year ago

dg123Best ResponseYou've already chosen the best response.1
oh the balls on me,,,, i found the minimum volume :(
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
yeppp ! thanks :DDD @dg123 @ganeshie8 @vood
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
okkk !! hahaa never mind ! best answer ! hahahaha thx "D
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
lol.. why you left X = 3/2 ?
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
oh ok.. you have shown it in the above equation... im seeing now only lol
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
V = (3  2x)^2(x) = (9  12x + 4x^2)(x) = 9x  12x^2 + 4x^3 V' = 924x+12x^2=3(4x^28x+3)=3(2X3)(2X1) LET V'(X)=0 THEN ...
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
its not : let V'(X) = 0 to find where the Volume has extreme values, we are equating V' (slope of Volume function) = 0
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
yep , exactly ! anyways, i got the answer ! haha
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
dw:1340361872423:dw
 one year ago

rebootkzBest ResponseYou've already chosen the best response.2
my hw is due 7:30am ...very soon.. goshhh! I still have TWo chapters to do !!!! so ... just do simple way...!!!! thx :DDDD
 one year ago

voodBest ResponseYou've already chosen the best response.0
I am not sure but i think that the maximum volume is 27 cubic feet
 one year ago

ganeshie8Best ResponseYou've already chosen the best response.0
@vood must be jk.. we need four times the material to have that volume..
 one year ago
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