Mary A.
asked • 09/11/19
The point at which a company’s profits equal zero is called the company’s break-even
point.
Let R represent a company’s revenue, let C represent the company’s costs, and let x represent the number of units produced and sold each day.
R(x)=10x C(x)=6.5x+8,750
(a) Find the firm’s break-even point; that is, find x so that R=C.
(b) Find the values of x such that R(x)>C(x). This represents the number of units that the company must sell to earn a profit.
2 Answers By Expert Tutors
Sahra P.
answered • 09/11/19
Experienced tutor for Math and English
(a) R=C
10x = 6.5x + 8750
10x — 6.5x = 8750
3.5x = 8750
x= 2500
(b) Let profit be p
since profit is calculated by subtracting costs from revenue, we can write p = R-C
At break-even p=0
so R-C = 0
so R=C
from part (a), we know that when R=C, x= 2500.
That is, at break-even, x = 2500
for profit, R(x) > C(x) and hence x>2500
Mehmet T.
answered • 09/11/19
Tutor for Math, Physics, and Turkish
a) R(x) = C(x)
10x = 6.5x + 8,750
3.5x = 8,750
x = 2,500
Breaking point = 10x = 25,000
b) x > 2,500 for R(x) > C(x)
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На основании Вашего запроса эти примеры могут содержать грубую лексику.
На основании Вашего запроса эти примеры могут содержать разговорную лексику.
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After analyzing the market we saw that there is a certain shortage of proposals that could help solve this problem.
Проанализировав рынок, мы увидели, что существует явный дефицит предложений, которые могли бы помочь решить эту проблему.
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Чтобы помочь решить эту проблему, я составил список из девяти простых способов продвижения любого веб-сайта.
Fortunately, a physical therapist can help solve this problem.
Artificial intelligence can help solve this problem.
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For this, and there detective services that will help solve this problem.
There are many ways that will help solve this problem and one of them is using apple cider vinegar.
Catalysts, like the ones found in the catalytic converters of cars, can help solve this problem.
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Video surveillance cameras are working to help solve this problem.
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There are suggestions that, in my opinion, will help solve this problem.
Now, though, some researchers claim that AI techniques like deep learning could help solve this problem.
Теперь, однако, некоторые исследователи утверждают, что достижения в разработке искусственного интеллекта, такие как глубокое обучение, могут помочь решить эту проблему.
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В случае возникновения спорных ситуаций, каждый трейдер может обратиться к представителям НБГ, которые помогут решить эту проблему.
Toshiba’s technology will help solve this problem and current evaluations have shown promise in its ability to characterize tumors.
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#1
An electronics store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800, The lowest priced stereo system in the store sells for 800 dollars, and the highest priced stereo system sells for $3000. and the highest priced stereo system sells for 3000 dollars. Which of the following is the maximum amount of $3000 systems on hand Which of the following is the maximum amount of 3000 dollar systems on hand if the current inventory totals $111,000?
the choices were : 30, 32 , 35, 37
i picked 37 but the answer was wrong it was 32
please help me figure out why the answer was 32
-
#2
Why did you pick 37?
Do you see why 37 is not the correct answer?
-
#3
It is sort of a trick question although it is easily solved by algebra. If you have 37 of the 3,000 dollar systems, you have 13 more systems, EACH of which is worth AT LEAST 800.
37 * 3,000 + 13 * 800 > 110,000.
Keep on trying numbers and eventually you get to
32 * 3000 + 18 * 800 = 96,000 + 14,400 = 110,400.
So the maximum number is actually 31 unless the problem said the inventory had a sales value of 110,400.
Deleted member 4993
Guest
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#4
An electronics store has a current inventory of 50 stereo systems. The lowest priced stereo system in the store sells for $800, The lowest priced stereo system in the store sells for 800 dollars, and the highest priced stereo system sells for $3000. and the highest priced stereo system sells for 3000 dollars. Which of the following is the maximum amount of $3000 systems on hand Which of the following is the maximum amount of 3000 dollar systems on hand if the current inventory totals $111,000?
the choices were : 30, 32 , 35, 37
i picked 37 but the answer was wrong it was 32
please help me figure out why the answer was 32
Why did you choose 37 to be the answer?
If you had 37 equipment priced at 3000 — then that equals to inventory of $111000! That means that store can have only 37 stereo system — all high priced and no low priced stereo. Thus violating the condition of having 50 stereo system.
If you do not know algebra — it can be solved by trial and error.
You found that if you have 37 high-priced stereo and (50-37 =) 13 low priced stereo you exceed the money allocated for total price of inventory.
So we must decrease the amount of High priced stereo(from 37) and increase the amount of low priced stereos.
Lets guess the amount is 25 (high priced) and 25 (Low priced) stereo.
The inventory price in that case is = 25*3000 + 25*800 = 95000 (short)
Must increase higher priced item.
Lets guess the amount is 30 (high priced) and 20 (Low priced) stereo.
The inventory price in that case is = 30*3000 + 20*800 = 106000 (short)
Must increase higher priced item.
Lets guess the amount is 35 (high priced) and 15 (Low priced) stereo.
and continue…..
Or you solve this by algebra.
Let us assume:
Number of high priced stereo = H
and
Number of low priced stereo = L
Assuming that the inventory consists of only two types stereos, we have:
H + L = 50 …………………………………………. (1) and
3000*H + 800*L = 111000 ……………… (2)
Now you have two equations and two unknowns. Solve for those using your favorite method.
-
#5
As an arithmetic problem (which you said this is), this may be intended to teach you to check your answer. It is natural at first to just divide 111,000 by 3000 and get 37, then think because it came out so nicely, it must be right! But if you then go back through the problem to check that answer, you discover what JeffM pointed out: the total would actually be at least 37 * 3000 + 13 * 800 = 121,400, which is too much by $10,400. Now you’ve come to a better understanding of what the problem is about!
An alternative method for solving, rather than pure «guess and check», is to observe that for each $3000 system you remove, you add an $800 system (or more), for a net reduction of up to $2200. How many times do you need to do this to reduce the total by $10,400? Divide again, and you get 10,400/2200 = 4.7. So if you take away 4 big systems, the total will not be reduced enough; you have to take away at least 5. So your answer is 37 — 5 = 32.
Now, of course, we do another check. JeffM again showed the result; the amount is now less than $111,000, so we’ve solved it. (To get exactly $111,000, there must be some intermediate-priced systems; if there are enough of those, the number of $3000 systems may be less than 32.)
If you are actually taking algebra, let us know what ideas you have for solving the problem that way. You’ll be solving an inequality, and it will be easier to be sure of your answer.
-
#6
Oh, thanks to Dr. P, I see i misread the problem. I needed to be comparing to 111,000. So 32 is the maximum, and there must be at least one system that sells for more than 800 and less than 3000.
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Вы можете быть критикуют за чего вдоль вашего обеда в
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и сборов средств
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to
the establishment of friendly relations,
the Sudanese Government will cooperate with the Ugandan side in order
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equipment, etc.), which are also limited.
кроме времени( деньги, оборудование и т. п.), которых также ограниченное количество.
Cloning an Issue feature helps to solve this problem by creating a duplicate of the original issue, which contains the same information.
Функция Клонирования задачи( Cloning an Issue) помогает решить эту проблему путем создания дубликата исходной задачи, содержащей ту же информацию.
Pretty often the developers pay little attention
to
issues of data saving out of the old applications and
Довольно часто разработчики уделяют недостаточно внимания
проблемам
сохранения информации из старых приложений,
and RENAMO troops who will be joining the new army.
правительства и МНС, которые будут входить
в
состав новой армии.
need
to
exert any effort
to
see Kislovodsk at a glance, just enough
to
activate the stream there installed a web camera
to
enjoy the spectacle.
Технический прогресс помог решить эту проблему, теперь любой пользователи интернет в состоянии не прикладывая
к
этому
никаких усилий увидеть Кисловодск как на ладони, достаточно только активировать трансляцию с установленной там веб- камеры, чтобы насладиться зрелищем.
In
this
regard purposeful education, training and retraining and its stimulation, which is the part of wide package of possible policies in the labor market,
В
этой
связи целенаправленное образование, подготовка и переподготовка и их стимулирование, являясь частью широкого пакета возможных политик на рынке труда,
In
this
connection, we reaffirm our support for the convening of a world conference on narcotic drugs and for the preparation of an inter-American convention against money laundering, and we have agreed
to
work together
to
ensure that the main consumer
countries take a clearer and more decisive view of their responsibility for
helping
to solve this problem.
В
этой
связи мы подтвердили свою поддержку идеи созыва всемирной конференции по борьбе с наркотическими средствами, а также предложения о разработке межамериканской конвенции по борьбе с» отмыванием» денег и договариваемся совместными усилиями добиваться того, чтобы основные страны-
потребители с еще большей определенностью и решимостью приняли на себя ответственность за решение этой проблемы.
I dispatched an advisory mission
to
Mali,
Я направил
в
Мали консультативную миссию,
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In addition, the network configuration is a headache for many white users,
Кроме того, конфигурация сети является головной болью для многих белых пользователей,