Answer:
The surface area is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The surface area of a triangular prism is equal to
where
B is the area of the triangular base
P is the perimeter of the triangular face
H is the height of the prism
<em>Find the area of the base B</em>
<em>Find the perimeter of the base P</em>
we have
substitute the values
The surface area is
Answer:
In order to maximize the last equation we can derivate the function in term of x and we got:
And setting this derivate equal to 0 we got:
And solving for x we got:
And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:
Step-by-step explanation:
For this case we have the following function for the profit:
And we can rewrite this expression like this:
In order to maximize the last equation we can derivate the function in term of x and we got:
And setting this derivate equal to 0 we got:
And solving for x we got:
And for this case the value that maximize the profit would be x =95 and the corresponding profit would be:
Answer:
Step-by-step explanation: