Acontainer with a square bottom, rectangular sides and no top is to e constructed to have a volume of 5 m^3. material for the bottom costs $10 per square meter and material for the sides costs $8 per square meter. find the dimensions of the least expensive container

Step-by-step explanation:

We are given that a container with square bottom.

Let side of square=x

Height of container=h

Volume of container=

Cost of 1 square meter of material for the bottom=$10

Cost of 1 square meter of material for side=$8

We have to find the dimension of least expensive container.

Volume of container=

Surface area of container=

Cost=

Differentiate w.r.t x

Because side of container is always positive.

Again differentiate w.r.t x

Substitute x=2

Hence, the cost is minimum at x=2

Substitute the value of x

m

Hence, the dimensions of the least expensive container are

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (