The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.

Answers

Answer 1

Answer:

Step-by-step explanation:

We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.

Let R(x) = 300x-2x²

C(x) = 5000+4x

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 300-2x - (5000+4x)

Expand

P(x) = 300-2x-5000 - 4x

Rearrange:

P(x) = -2x+300-4x  - 5000

P(x) = -6x- 4700

The profit function is P(x) = -6x-4700

For  the company to break even, R(x) = C(x)

300-2x = 5000+4x

300-5000 = 4x+2x

6x = -4700

x = -4700/6

x = -783 units

Note that the functions are assumed. Use this concept to solve your real question

Answer 2

If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.

Here, We can assume revenue and expenses.

Let R(x) = 300x - 2x²

C(x) = 5000 + 4x

How do you calculate revenue profit?

It is the difference between the total revenue and the total expenses.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 300-2x - (5000+4x)

Expand

P(x) = 300-2x-5000 - 4x

P(x) = -2x + 300 - 4x  - 5000

P(x) = -6x- 4700

The profit function is P(x) = -6x-4700

For  the company to break even, R(x) = C(x)

300-2x = 5000+4x

300-5000 = 4x+2x

6x = -4700

x = -4700/6

x = -783 units

Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.

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Related Questions

Evaluate -9x-2 when x=-4

Answers

Answer:

34

Step-by-step explanation:

The Corner Cafe offers a 10% off senior citizen discount. If Mr. and Mrs. Schmidt order $36.00 worth of food and are senior citizens, how much can they expect to save?

Answers

Answer:

$3.60

Step-by-step explanation:

$36.00 × 10%= $3.60

Solve for x:3(x+1)=-6

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

3(x +1) =-6

3x +3 =-6

3x =-6 - 3

3x=-9

x=-9:3

x=-3

Can someone help
Please

Answers

Answer:

Step-by-step explanation:

.

Find the slope of a line graphed below

Answers

Answer:

Slope is 2/5x

Step-by-step explanation:

Click on the correct answer.
\(\frac{2}{5}\div2\frac{1}{4}\)

a:\(\frac{8}{45}\)
b:\(\frac{9}{10}\)
c:\(1\frac{1}{9}\)
d:\(5\frac{5}{8}\)

Answers

Answer:

A

Step-by-step explanation:

i am smart

Can someone help me

Answers

Answer:

Su=10

Explaination:

So from s to u on the nunebr line is worth 2x-12. So what is s to u worth? Well. S to t on the number line = x-7. T to u =6. And 2 x is worth 12 more than s to u, using th e expression. X has to be at least 8 because otherwise the x-7 wouldn't work, and u might get s to u = 0 or a negative number.

Say x was 13, then 13 - 7 =6. So S to t =6. And r to u =6. So s to u =12. (6+6). Then check if the expression fits this answer of 12. 2x - 12. 2x = 26. 26-12=14, which doesn't match.

Let's try 14. 14-7=7. Then s to u = 7+6=13. The expression: 2x= 28. 28-12=16. 13 and 16 dont match. So we have got further away from what we need. Why don't we try going in the opposite direction. Rather than testing 13 and +1, let's now - 1 and try 12.

If x=12, then s to t =12-7=5. And s to u =6+5=11. The expression: 2x=24.-12=12. We are very close now with 11 and 12.

Lets test x=11!

S to t = 11-7=4. 4+6=10. So s to u =10.

2x=22. 22-12=10. So the expression works and the number line measurements.

The answer is su=10 and x=11.

Let p = log10 x, q = log10 y, and r = log10 z. (The 10s are base numbers.)
Write the expression log10 (x / y^2 √z) in terms of p, q, and r.

Please show work! I have the answer ( p- (2q + 1/2 r) ), but I need to show my work.

Answers

Answer:

(p / q^2 √r)

Just make x, y, z into p, q, r.

Very simple!

Which number set correctly represents the range of the given data?
{(0, 0), (2, 0), (3, 0), (5, 0)}

{0, 2, 3,5)
{0, 2, 3)
{0,2)
(0)

Answers

Answer:

I would assume {0, 2, 3, 5}

Step-by-step explanation:

I would assume that answer because all three are given in the range of the given data set.

Answer:

The answer is [0] (D)

Step-by-step explanation:

Given the fact that the Range is Y value, we see 0,0,0,0

So its 0


What type of number is 8/2?

Choose all answers that apply:
А
Whole number
B
Integer
C
Rational
D
Irrational

Answers

Answer:

A,B,C

Step-by-step explanation:

It is A because 8/2 simplifies to 4 which is a whole number.

4 is an integer, idk if its asking for 8/2 as itself but a fraction isnt an integer.

The fraction above is obviously rational number.

All the types for the number 8/2 is,

A. Whole number

B. Integer

C. Rational

Given that,

The number is,

⇒ 8/2

Now, simplify the number as,

⇒ 8/2

⇒ 4

Clearly, 4 is a whole number and it is an integer.

Here, 4 is written as, 4/1

So, it is also an rational number.

So, the correct options are,

A. Whole number

B. Integer

C. Rational

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Find the difference: 34.14 - 67.42

Answers

Answer:

the answer is -33.28

Step-by-step explanation:

A farmer wanted to distribute 36 mangoes in paper bags, how many ways he can contribute the mangoes equally in paper bags?? Solve this using Factoring, Finding multiples and Divisibility Rules.

Answers

Answer:

36 = 2 x 2 x 3 x 3

Step-by-step explanation:

Given:

Number of mangoes = 36

Computation:

Factor of 36

36 = 2 x 2 x 3 x 3

Number of packing = 2 and number of mangoes in each = 18

Number of packing = 4 and number of mangoes in each = 9

Number of packing = 12 and number of mangoes in each = 3

Number of packing = 6 and number of mangoes in each = 6

Number of packing = 36 and number of mangoes in each = 1

g Explain why x is a discrete random variable. A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. C. The event x is a discrete random variable because the values of the random variable are countable. D. The event x is a discrete

Answers

Answer:

Correct option: C

Step-by-step explanation:

A random variable, denote by X, is a variable whose probable values are numeric and are of a random occurrence. There are two types of random variables, discrete and continuous.

A discrete random variable is the one which takes on only a finite number of distinct values such as 0, 1, 2, 3, 4... For example, the number of female members in a family, the daily attendance at a yoga class, the number of defective light bulbs in a box of five bulbs.

The probability distribution of a discrete random variable consist of a list of probabilities related with the respective possible values. It is also known as the probability mass function.

The correct statement describing X is:

C. The event x is a discrete random variable because the values of the random variable are countable.

The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.

Answers

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

H-E-B sells steak for $6.10 per pound. What would be the cost of 2.6 pounds of steak

Answers

Answer:

the answer is $15.86

You have 8 quarts of brown stock. You need 3 cups to make one serving of braised short ribs. How many servings can you make? (don't include partial portions) ​

Answers

Answer:

You can make 2 servings.

Step-by-step explanation:

Hi there!

3 cups makes one serving, so 2 servings require 6 cups. Since you don't have 9 cups to make 3 servings, and you don't want partial portions, you can only make 2 servings with 6 cups and have 2 cups left over.

Have a great day!

(I'd also appreicate it if I got a rating and maybe a Thanks please!)

76 divided by 12 in a lixed fraction

Answers

6 or. 1/3

hopethishelp

Answer:

6 1/3

Step-by-step explanation:

72/12 = 6.3333 = 6

76 - (12 x 6) = 4

6 4/12

6 1/3

For the following exercises, rewrite the quadratic functions in standard form and give the vertex. Standard form is y=a(x-h)²+k
6.) f(x) = x² – 12x + 32

8. f(x) = x² - x

10. h(x) = 2x² + 8x - 10​

Answers

6.(x-4)(x-8)
8.x(x-1)
10.2(x+5)(x-1)

Joe has ​$800 to spend on a new dining room table and chairs. If the sales tax is 8%​, how much can he afford to spend on the table and​ chairs?

Answers

Answer:

no

Step-by-step explanation:

800x8%=64

64+800=864

Answer:

$736

Step-by-step explanation:

800 x (100% - 8%)

800 x 92%

=736

g(x) = 30x + 5

h(x) = 10x – 15

Find h(–3) + g(–5)

Answers

Answer:

The answer is: -190

Step-by-step explanation:

First, you need to input the -3 into the h(x) equation as follows:

h(-3) = 10(-3) - 15, then solve.

h(-3) = -30 - 15

h(-3) = -45.

Then you do the same for g(-5).

So, g(-5) = 30(-5) + 5

g(-5) = -150 + 5

g(-5) = -145.

Now you add the -45 and -145.

h(-3) + g(-5) = -45 - 145

h(-3) + g(-5) = -190.

Evaluate the function for the indicated input

Answers

[tex]f(0)=0^2+0-6=\boxed{-6}[/tex].

Hope this helps.

A gardener has 27 pansies and 36 daisies. He planted an equal number of each type of flower in each row. What is the greatest possible number of pansies in each row? I need the answer quick

Answers

Answer:

There will be 3 rows of pansies

Step-by-step explanation:

at the zoo there are 3 times

Answers

Answer:

at the zoo there are 3 times what?

Step-by-step explanation:

is negative 2 rashihol

Answers

Answer:

Yes,  -2 is a "rashihol" number

Find the 84th term of the arithmetic sequence -5,15,35, ...

Answers

The 84th term of the sequence is 1655

How to determine the 84th term?

The arithmetic sequence is given as:

-5, 15, 35, .....

The above sequence has the following parameters:

Initial value, a = -5Common difference, d = 20

The nth term of the sequence is:

Tn = a + (n - 1) * d

So, we have:

T84 = -5 + (84 - 1) * 20

Evaluate

T84 = 1655

Hence, the 84th term of the sequence is 1655

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Write the following equation in slope intercept form:
y + 9 = 3(x - 1)

Answers

y=mx+b
Distribute 3 to (x-1), 3x-3
y+9=3x-3
Subtract 9 on both sides
y=3x-12( the answer)

The slope intercept form of the given equation y + 9 = 3(x - 1)  is

y =3x-12 .

What is slope intercept form ?

The slope intercept is a form of two variable linear equation in x, y is given by

y = m x + c

y is y coordinate, x is x coordinate , m is called slope , c is y intercept

For the given equation

y + 9 = 3(x - 1)

⇒ y + 9 = 3x -3

Subtracting 9 from both sides of this equation, we get

y+9-9 = 3x-3-9

⇒ y = 3x - 12

This is the slope intercept form with m = 3 and c = -12

Therefore , the slope intercept form of the equation y + 9 = 3(x - 1)  is

y =3x-12

Also, Learn more about the slope intercept form from the link below:

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Rewrite the statement as an equation. $10
for each x plus $5 for each y equals $1500

Answers

Answer:

10x+5y=1500

Step-by-step explanation:

I don't know how to explain this but i think this is right.

Norman answered the following question below lilith brought 20 cans to the food drive marcus brought 7 cans to the food drive if Paulina brought 8 more cans than lilith and marcus Combined, how many cans did Paulina bring. explain you answer​

Answers

Answer:

100 is a cool number

Step-by-step explanation:

i also ate a rock

2. Which of the following uses the Distributive Property?
A. 0.4 x (2a-0.3b) = 0.4 + (2a-0.3b)
B. 0.4 x (2a-0.3b) = 0.8a - 0.12b
C. 0.4 x (2a -0.3b) = 0.8ax 0.12b

Answers

Answer:

B

Step-by-step explanation:

It is B because 0.4 times 2 would be 0.8 and 0.3 times 0.4 would be 0.12b.

To which set or sets of numbers does the number 5 belong?

Answers

Answer:

what are the options

Step-by-step explanation:

i would help but I don't know what to answer

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