Question

a rectangle storage container with an open top is to have a volume of 16 cubic meters. The length of its base is twice the width. material for the bar costs 11 dollars per square meter. Material for the sides costs 5 dollars per square meter. find the cost of materials for the cheapest such container.

total cost =?
Round to the nearest nearest penny

Answer 1

Let's assume

width=x

length=2x

height=y

we can find volume equation

now, we can solve for y

now, we can find cost equation

now, we can plug back y

now, we can find derivative

now, we can set it to 0

and then we can solve for x

now, we can find total cost

...........Answer