Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.

Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
Answer:
7g+14h
Step-by-step explanation:
hope it helped you
Answer:
The answer is 3.5 mph
Step-by-step explanation:
30 x 2 = 60 minutes = 1 hour
1.75 x 2 = 3.5 miles
So 3.5 miles in 1 hour
3.5 mph
Answer:
5.0
Step-by-step explanation:
Using Pythagorean Theorem:
a² + b² = c²
where a =? b= 12 in and c = 13 in
a² + (12)² = (13)²
a² + 144 = 169
a² = 169 - 144
a² = 25
a = √25 = 5
∴ a = 5.0
Pythagoras Theorem is usually applied when finding one missing side of a right-angle triangle.
Step-by-step explanation:
(1,5) (5,8)
x,y. x,y
Formula: <u>y2-y1</u>
x2-x1
so...
<u>8-5</u><u>=</u> <u>3</u>
5-1 = 4
so... <u>3</u>
4