You could use something like I have 17 people in my class. I want to give them each 6 pencils. How many pencils do I need. I think this is what your were asking for
Answer:
3/4
Step-by-step explanation:
-2-(-5) divided into 6-2
-2 +5 divided into 4
3 divided into 4
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:
the one on the bottom and Lewis made one less of whatever Bryan made
Step-by-step explanation: