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

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

can you put the picture up?

step-by-step explanation: