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.
Think about you have a pizza. you have 6 people and a total of 12 slices. How many can each person get? 2.
This is the same thing. $2.47 divided by 6 people = $0.46 cents each
Answer:
y
=
5
/2
x
−
2
Step-by-step explanation:
The slope-intercept form of a linear equation is: y
=
m
x
+
b Where m is the slope and b is the y-intercept value.
Answer: $6,861.44
Step-by-step explanation:
Car was bought 3 years ago for $12,000.
Value decreases by 17% every year.
Current value is:
= 12,000 * (1 - 17%)³
= $6,861.44
Answer:
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Step-by-step explanation: