Question

Calc 1 question

Answer 1

A rectangular storage container with an open top is to have a volume of 10 m^3. The length of this base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such container.

Answer 2

l*w*h=10
l=2w
2h*w^2=10
h=5/w^2

cost = 10*base+6*sides
cost = 10*l*w+6(2*l*h+2*w*h)
cost = 10*(2w)*w+6(2*(2w)*(5/w^2)+2*w*(5/w^2))
cost = 20w^2+180/w

This is the setup I see for the problem. Tell me if there is anything wrong

Answer 3

That looks right to me.

Answer 4

So you know where to go from there?

Answer 5

sorry i took so long. yep im good from there.