a company needs to build a rectangular titanium time capsule (box-shaped). it will cost $12,000 per square meter to build both the top and bottom; $17,000 per square meterto build the front; and $8000 pr square meter to build the remaining three sides.
how do i get an expression for the cost function in terms of x,y,and z ( the width, length, and height, respectively) for the total cost of the materials required?
2006-11-23 00:57:25 · 2 answers · asked by Andrew S 1 in Science & Mathematics ➔ Mathematics
Find the areas of each surface and multiply them by their cost per sq m. Example: the top's area is xy so it costs 12000xy dollars.
2006-11-23 01:04:59 · answer #1 · answered by hayharbr 7 · 0⤊ 0⤋
do you know what a net is?
[2xy * 12 +xz*17 + xz*8 + 2yz*8]* $1000*U = cost
since U is free set to 0 a box with no volume costs nothing. you need an other constraint IE the volume
set z = ax , y= bx and solve for a & b
24b x^2 +26 a x^2 + 16 ab x^2
12b+8ab+13a=X
2006-11-23 09:23:58 · answer #2 · answered by mathman241 6 · 0⤊ 0⤋