can anyone do optimization?

Question

anonymous · Answer

a regular storage container with an open top is to have a volume of 10 m^3 The length of the base is twice the width material for the base is $10 and the sides $6. find the cost of the materials for the cheapest such container

bahrom7893 · Answer

Yay optimization, my fave topic!!

bahrom7893 · Answer

http://www.twiddla.com/574903 Go there ill help u there

anonymous · Answer

ok

anonymous · Answer

we can do this step by step not too bad.  put x = width so base is 2x and height h. volume is 
$$2x\times x\times h=10$$ making 
$$h=\frac{10}{2x^2}=\frac{5}{x^2}$$

bahrom7893 · Answer

I already did it satellite! YAY!

anonymous · Answer

that is wrong sorry

bahrom7893 · Answer

y?

bahrom7893 · Answer

satellite u were right actually I did it the same way on the link above and the answers were correct..

anonymous · Answer

no it right 
then cost  is 
$$C=10\times 2x\times x+4\times 6 \times x\times h $$ 
$$C(x)=20x^2+24\times x \times \frac{5}{x^2}$$
$$C(x)=20x^2+\frac{120}{x}$$

anonymous · Answer

but if you are done i will quit

bahrom7893 · Answer

that was my equation too but thanks for the effort..