Answer:
A = 414.69 km^2
Step-by-step explanation:
A = 2 π r h + 2 π r^2
A = 2(30)(pi) + 2(36)(pi)
A = 132pi
A = 414.69 km^2
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:
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Answer:
245 people
Step-by-step explanation:
49×5=245
If the maximum per room is 5, you multiply that by how many rooms there are, which, in this case, is 49.
So multiply 49 by 5.