a box is made with a square bottom and open top to hold a volume of 8ft^{3}. the material for the sides cost $4 per square foot and the material for the bottom costs $1 per square foot. What dimensions will minimize the cost of the box?

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- Dec 16th 2012, 02:19 PMOceanicBlueminimizing the cost of making a box with an open top
a box is made with a square bottom and open top to hold a volume of 8ft

^{3}. the material for the sides cost $4 per square foot and the material for the bottom costs $1 per square foot. What dimensions will minimize the cost of the box? - Dec 16th 2012, 02:32 PMskeeterRe: minimizing the cost of making a box with an open top
what equations have you come up with from the given problem statement?

- Dec 16th 2012, 03:08 PMHallsofIvyRe: minimizing the cost of making a box with an open top
Let "x" be the length of each side of the base and "y" be the height. What is the volume in terms of x and y? What is the total area in terms of x and y?

- Dec 16th 2012, 04:07 PMOceanicBlueRe: minimizing the cost of making a box with an open top
how do you solve a volume with 2 variables???

- Dec 16th 2012, 04:21 PMskeeterRe: minimizing the cost of making a box with an open top