Answer:
15
Step-by-step explanation:
3x-14=31
3x=45
x=15
The dimension of the container of this size that has the minimum cost is , and
The given parameters are:
- Volume = 480m^3
- Cost: $5 per square meter for the bottom, and $3 per square meter for the sides.
Assume the dimensions of the container are: x, y and z.
The volume (V) would be:
Substitute 480 for V
And the objective cost function would be:
Differentiate the cost function using Lagrange multipliers
Divide equation (1) by (2)
Factor out 2
Cross multiply
Evaluate the like terms
Divide both sides by 3z
Divide the first equation by the third
Factor out 2
Cross multiply
Cancel out the common terms
Divide both sides by y
Make z the subject
So, we have:
and
Recall that:
Substitute and
So, we have:
Multiply both sides by 3/4
Take the cube roots of both sides
Recall that:
So, we have:
Also, we have:
So, we have:
Hence, the dimension of the container of this size that has the minimum cost is , and
Read more about Lagrange multipliers at:
brainly.com/question/4609414
Answer:
IM YOUR ANSWER
Step-by-step explanation:
9/15 as a percent is 60%, so D.
4 1/5 as a percent is 420%, so B.
Answer:
(4, 1 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , then
(- 1, 4 ) → (4, 1 )