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mars1129 [50]
3 years ago
14

Plz help me solve this

Mathematics
1 answer:
Sidana [21]3 years ago
4 0
The answer is C, lmk if i helped
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Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
olga nikolaevna [1]
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.

\frac{dB(y)}{dy} =100-36y

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.


3 0
2 years ago
Tina has 1/4 of a cake. He divides it between his 6 friends. How much of the whole cake will each friend get?
klemol [59]
As Tina only has 1/4 of a cake. For simplicity sake we can do the calculation with a whole cake and then multiply by four!

First it is stated that cake is divided into six pieces, giving us our first number. 
So,

6 x 4 = 24 

This means that each friend will get 1/24th of the whole cake.
7 0
3 years ago
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Find each product. <br> (x - 6)(x + 2)
emmainna [20.7K]

Answer:

x^2-4x-12

Step-by-step explanation:

(x-6)(x+2)=x^2-6x+2x-12=x^2-4x-12

6 0
2 years ago
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suppose you earn $15 per hour working part time as a carpenter. this month, you want to earn at least $950. how many hours must
Paul [167]
You must work 64 hours this month.
7 0
3 years ago
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Darius buys a bottle of a chemical solution that contains 70% alcohol. The bottle contains 500 milliliters of solution.
Andru [333]

Answer:

350 ml

Step-by-step explanation:

70% of 500 ml = 0.7*500 ml = 350 ml

6 0
3 years ago
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