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nexus9112 [7]
3 years ago
6

A manufacturer sells a product for $10 per unit. The manufacturer's variable costs are $5 per unit and the fixed cost is $1000.

How many units must the manufacturer produce each month to break even?
Max 2A + 3B s.t. 1A + 2B S 6 5A + 3B
Mathematics
2 answers:
mixas84 [53]3 years ago
7 0

Answer:

200 units

Step-by-step explanation:

The total income must be at least equal to the costs, and that is:

10*U = 5*U + 1000   Solving for U, which is the amount of units sold per month:

U = 1000/5 = 200 units.

natka813 [3]3 years ago
3 0

Answer:

To break even, the manufacturer must produce 200 units each month

Step-by-step explanation:

To break even, the amount of total cost must be the same as the amount of revenues.  

Total Cost is Fixed cost plus unitary variable cost multiplied by the produce quantity.  

<u>Total cost</u>= FC + vc*Q

Where ,

FC=Fixed cost

vc=unitary variable cos

Q=produce quantity

<u>Revenue</u>= Price * Q

Break even FC + vc*Q=Price * Q

Isolating Q

FC=(Price * Q)-(vc*Q)

FC=(Price-vc) * Q

Q= FC/(Price-vc)

Q= $1000/($10-$5)

Q= $1000/$5

Q=  200 units

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3 years ago
An artist purchased 24 high quality canvases to be used for painting this fall. Each week she will allow herself to use three of
Nadusha1986 [10]

Answer:

<u><em>canvases over weeks </em></u>

<u><em> </em></u>

<u><em>Step-by-step explanation: </em></u>

<u><em> </em></u>

<u><em>Given: </em></u>

<u><em> </em></u>

<u><em>w(h) represents how many hours per week </em></u>

<u><em> </em></u>

<u><em>c(t) approximates how many canvases she paints per hour </em></u>

<u><em> </em></u>

<u><em>In function composition, if we have two function f(x) and g(x) then </em></u>

<u><em> </em></u>

<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. </em></u>

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<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!

8 0
3 years ago
Tara had $350 in her bank account she received three birthday checks for $35 each and but bought two new video games for $41 eac
goldfiish [28.3K]

We conclude that the final amount that she has in her bank account is $375.

<h3>How much has Tara in her bank account now?</h3>

Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.

Then she received 3 checks for $35 each, so at this point she has:

$350 + 3*$35 = $455

Now she buys 2 video games for $41 each, so we need to subtract two times $41, we will get:

$455 - 2*$41 = $375

We conclude that the final amount that she has in her bank account is $375.

If you want to learn more about additions and subtractions:

brainly.com/question/25421984

#SPJ1

6 0
2 years ago
When i muiltplyied 3.675 x 10 i got 36.75. my question is why did the decimal move? and how.
qaws [65]

Answer:

It moved because of this:

Step-by-step explanation:

the number 10 has one 0 in it.

you move the decimal place over how many times depending on how many 0s there are, so because there is <u>one</u><u> </u>0 in 10, you move it over <u>once</u>.

hope this helped!

3 0
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