A rectangular storage container with an open top with an open top is to have a volume of 10 m^3. The length of its base is twice the width. Material for the base costs $15 per m^2. Material for the sides costs $2 per m^2. Find the dimensions of the container which will minimize cost and the minimum cost.
What is Base length=
base width=
height=
minimum cost=
w*2w*h = 10, so h = 5/w^2
so the cost c(w) is
c = 15*2w^2 + 2*2(wh + 2wh) = 30w^2 + 60/w
so find where dc/dw = 0 to minimize the cost