You are setting up a part-time business with an initial investment of $12,000. The unit cost of the product is $11.50, and the selling price is $19.00.Required:a. Find equations for the total cost C (in dollars) and total revenue R (in dollars) for x units.b. Find the break-even point by finding the point of intersection of the cost and revenue equations units.c. How many units would yield a profit of $1000?

Answers

Answer 1

Answer:

Given Initial investment = $12,000

Cost per unit = $11.50

Selling price per unit = $19

a. For x unit

Total cost = Initial investment + Cost per unit * no of unit

= 12,000 + 11.50(x)

c(x) = 12,000 + 11.50(x)

R(x) = Selling price per unit * no of items

R(x) = 19 * x

R(x) = 19x

b. Break even point = R(x) = C(x)

19x = 12,000 + 11.50x

19x - 11.5x = 12,000

7.5x = 12,000

x = 12,000 / 7.5

x = 1600

So, break even point x =  1,600

c. For Profit = $1,000

P(x) = 1,000

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

1000 = 19x - (12,000 + 11.5x)

1000 =19x - 11.5x - 12000

7.5x = 12000 + 1000

7.5x = 13000

x = 13000/7.5

x = 1733.33

So x = 1733 units

Hence, 1733 units will yield for $1,000 profit


Related Questions

2. Three numbers whose product is 64 are 2, 4,

and 8 because 2 x 4 x 8 = 64.

a. Find three numbers whose product is 2.4.

b. Find another set of three numbers whose

product is 2.4.

c. Find three numbers whose sum is 2.4.

d. Find another set of three numbers whose

sum is 2.4.

Answers

Answer:

A) 0.8 X 3 X 1 = 2.4

B) 0.3 X 2 X 4 = 2.4

C) 0.4 + 1.5 +0.5 = 2.4

D) 2 + 0.3 + 0.1 = 2.4

Step-by-step explanation:

A) To get three numbers whose product is 2.4, we will have to find out by multiplying three different decimal numbers to see if we can get 2.4. In other words, we are looking for factors of 2.4.

We can start by dividing 2.4 by three.

This will give 0.8 ( which is one of the numbers)

Recall that 1 is also a number and any number multiplied by 1 is itself. We can take one to be our third number.

Our three numbers are 0.8 X 3 X 1 = 2.4

B) To get another set of numbers, we can simply choose to divide 2.4 by 4.

2.4 / 2 = 0.6.

we can also divide 0.6 into 2.

0.6 / 2 = 0.3

Our other three numbers can be 0.3 X 2 X 4 = 2.4

C) Three numbers which can sum up to 2.4 are

0.4 + 1.5 +0.5 = 2.4

D) To get another set of numbers, we can simply break 2.4 up into other simpler numbers.

2 + 0.3 + 0.1 = 2.4

Answer:

The answer is A

Step-by-step explanation:

What is the value of x in this equation? 3x + 8 - 2(1 - x) = 1 Show how you got your
answer.

Answers

Answer:

3x+8-2(1-x)=1

First, multiply 2x1 and 2x-x

3x+8-2+2x=1

Then rearrange the terms

3x+2x+8-2=1

Then combine like terms

5x+6=1

Then subtract 6 on both sides

5x=-5

Then divide 5 on both sides

x=-1

Step-by-step explanation:

Value of x = -1

What is Equation?

when any mathematical values are made equal with help of some variables and constant.

Given equation 3x + 8 - 2(1-x) = 1

simplify equation 3x + 8 - 2 +2x = 1

5x + 6 = 1

5x = 1 - 6

5x = -5

x = -1

Hence x = -1

Learn more about Equations

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PLEASE PLEASE HELPPP DUE REALLY SOON: Which relationships have the same constant of proportionality between y and x as the following graph? (Choose two answers)

Answers

Answer is D cause the equation of the line is y=3x

A plumber charges $35 to make a house call, plus $25 an hour for labor. The following equation represents f(x), the total cost of a visit for x hours: f(x) = 25x+35. What is the independent variable? * 10 points Number of hours worked Amount of money paid Price of labor House call charge

Answers

The correct answer is A. Number of hours worked

Explanation:

In the equation presented, the number of hours worked is the only factor that varies, it is expected the plumber has to work a different number of hours depending on each situation and this affects the final cost as the number of hours is multiplied by $25 (cost of one hour). On the other hand, factors such as the house call charge or the price of an hour for labor are fixed and do not change.

Moreover, in equations, the factor that changes and can affect others is known as the independent variable. This means the number of hours can be classified as the independent variable because this is not fixed and affect other variables including the total cost.

solve for X : 2 ≥ x3=6


i will give brainliest

Answers

Here’s the answer hope it helps: x≤−18

Round 285.20 to the nearest tenth

Answers

Answer:

285.2

Step-by-step explanation:

In ΔRST, the measure of ∠T=90°, the measure of ∠S=75°, and ST = 97 feet. Find the length of TR to the nearest tenth of a foot.

Answers

Answer:

362

Step-by-step explanation:

97tan(75

2 is a common factor. u Tr u e u False

Answers

Answer:

true

Step-by-step explanation:

please help me with this i will give you a brainliest ​

Answers

Answer:

2.)-7, -5, -1, 0

3.) -12, 0, 13, 14, 16, 17

5.) 5

Step-by-step explanation:

Write these numbers in order of size. Start with the smallest number. 3/7,41%, 0.45,

Answers

Question: Write these numbers in order of size. Start with the smallest number. 3/7,41%, 0.45.

This is EASY! Here's your answer, hope it helps:

0.45, 3/7, 41%

Step-by-step explanation:

0.45 is first because it is the smallest percentile what i mean by this is anything with a point or anything with the number 0 comes first.... IF THE NUMBER 0 IS THE FIRST NUMBER OF THE NUMBER CHARACTERISTIC!

Why this is true? Well depending on your grade if you know your numbers... 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22... and so on. (You should know this if you are being asked this question). The rest are as simple as this.

3/7 comes next (the second highest number). How i know this is by reviewing the number chart listed above coming as the third highest number starting from 1 (1, 2, 3)

Lastly 41% is the last number/percentile. Which in conclusion on the number chart, YES! you cant find it because i stoped at number 22 and for your correct answer the number 41 is 19 numbers away from 22 which gives me the answer that the correctness to this question and format would be that 41% is the last number to this question.

If you have any more question over why i found this to be the correct answer please ask i will be glad to assist you. Thank you and have a great day!

Answer:

41%, 3/7, 0.45

Step-by-step explanation:

41% = 0.41

3/7 = ~0.43

0.45 =...0.45

I think there are 4 answers but you missed one when typing your question.

What is 30/95 in simplest form

Answers

Answer:

30/95

Step-by-step explanation:

because 95 cant be split

Hey there!

[tex]Answer:\boxed{\frac{6}{19}}[/tex]

[tex]Explanation:[/tex]

[tex]\frac{30}{95}[/tex] in simplest form

95 / 30 = 3.16666666667 Divide

3.16666666667 = 19/6 Convert to a fraction

6/19 Flip up the fraction

6/19 is the final answer.

Hope this helps!

Can someone please answer 8|x+2|-6=5|x+2|+3

Answers

Step-by-step explanation:

8|x+2|-6=5|x+2|+3

|8x+16|-6=|5x+10|+3

I've been thinking... Is that | or (? Are you sure it's |?

Oh well, I'm continuing...

8x+16-6=5x+10+3

8x+10=5x+13

3x=3

x=1

Evaluate -x -2y if x = -2 And y = -3

Answers

Answer:

8

Step-by-step explanation:

-(-2)-2(-3)

2+6=8

Answer:

pretty sure it is 8

Step-by-step explanation:

2-2*-3 equals 8

The midpoint of AB is M(-5, 4). If the coordinates of A are (-4, 2), what are the coordinates of B?

Answers

Answer:

(-6, 6)

Step-by-step explanation:

Let the coordinates of point B be (x, y)

Since, M is the midpoint of AB.

Therefore, by mid-point formula:

[tex] - 5 = \frac{ - 4 + x}{2} \\ - 5 \times 2 = - 4 + x \\ - 10 + 4 = x \\ x = - 6 \\ \\ 4 = \frac{2 + y}{2} \\ 4 \times 2 = 2 + y \\ 8 = 2 + y \\ 8 - 2 = y \\ y = 6 \\ \\ (x, \: \: y) = ( - 6, \: \: 6)[/tex]

Thus, the coordinates of point B are (-6, 6).

The coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),

What is an ordered double?

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have:

The midpoint of AB is M(-5, 4).

The coordinate of A is (-4, 2)

Let the coordinate of B is (x, y)

By using the midpoint property:

(-4+x)/2 = -5

-4 + x = -10

As we know, the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

-4 + x = -10

It is a linear equation in one variable:

x = -6

Similarly for y:

(2+y)/2 = 4

2 + y = 8

y = 6

The coordinate of B is (-6, 6)

Thus, the coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),

Learn more about the order double here:

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How many inches are in 3 feet 8 inches

Answers

Answer:

44

Step-by-step explanation:

3 x 12 = 36 + 8 = 44

identify the constants in the following

really need help I don't know how to do this can someone explain it to me please??​

Answers

a) 7 is the constant
b) 3 is the constant
c) -1 is the constant


a constant in math is when there’s no variable attached to the number (so there’s no x y z, whatever attached to it). it’s just a simple number like 1 2 3 4 5....

What is the mid point between (3,-1) and (7,-5)

Answers

(5,-3) because trust me it’s right:)

It is 3,876 miles round trip to Craig's aunt's house.

If he travels to her house 7 times this year, how many miles did he travel in all?

Answers

[tex]3876 \times 7 = 27132[/tex]

A child randomly selects a jellybean from a jar of jellybeans. The probability that the child selects a grape jellybean is 7/22, and the probability that he selects a grape jellybean or a cherry jellybean is 13/23. What is the probability that the child selects a cherry jellybean?

Answers

Answer:

6/23

Step-by-step explanation:

Since there are 7 grapes and 13 grapes AND cherry. 13-7 is 6. So the cherry jellybeans will be 6.

Sara bought a 24-ounce can of tomato sauce for $6. What is the unit price per ounce? *

Answers

Answer: 25 cents

Step-by-step explanation:

24 ounces = 6 dollars. Divide 24 by itself to get 1 ounce. Then, divide 6 by 24 to get 25 cents.

The unit price per ounce is 25 cents.

It is required to find the unit price per ounce.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

We know that,

24 ounces = 6 dollars.

Divide 24 by itself to get 1 ounce.

1 ounces = 6/24 dollars.

1 ounces = 1/4 dollars.

1 ounces = 1/4*100 cents

1 ounces =25 cents.

Therefore, the unit price per ounce is 25 cents.

Learn more about arithmetic here:

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Find the Product of -2(-5)(-9)
Plzzzzz help

Answers

It’s -90 I hope this helped you

Answer:

It 90

Step-by-step explanation:

8546789905588dhjd

Anyone know the answers?

Answers

(6 + (-7) / 2 , 7 + (-6) / 2) = ( -1/2 , 1/2)

No santiago is incorrect, the midpoint G is at (-1/2 , 1/2)

15x - 2 + 5x + 3 = 5

20x + 1 = 5

20 x = 4

x = 2

No, Q is not the midpoint, because it is not halfway between P and R

What is 1.4 in its simplest form? Fraction way​

Answers

Answer:

Step-by-step explanation:

Hello,

[tex]1.4=\dfrac{14}{10}[/tex]

thanks

Answer:

the answer 7/5

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

A floor 10m by 40m is covered by square tiles 20cm. How many tiles are needed to cover the floor?

Answers

Answer:

10,000

Step-by-step explanation:

We can find the area of the floor in cm^2 and divide by the are of 1 tile in cm^2.

1 m = 100 cm

10 m = 1000 cm

40 m = 4000 cm

area of floor = LW = 1000 cm * 4000 cm = 4,000,000 cm^2

area of tile = s^2 = (20 cm)^2 = 400 cm^2

number of tiles = 4,000,000/400 = 10,000

Answer: 10,000 tiles

Simplify each expression

6(a+8)

Can you please help me

Answers

Answer:

6a+48

Step-by-step explanation:

Distribute:

6(a+8)

6 x a = 6a

6 x 8 = 48

6a+48

Answer: 6a + 48

Step-by-step explanation: use the distributive property and multiply 6•a to get 6a and multiply 6•8 to get 48

PLEASE HELP ASAP!! ILL GIVE BRAINLIEST !!!

Answers

I believe the answer is C! Because..

Answer:

c. The square root of 12 is between 4 & 5.

Step-by-step explanation:

a. The square root of 112 is between 10 & 11

i. Find the squares of 10 & 11

10² = 100

11² = 121

Because 100 < 112 < 121, we know the square root of 112 is between 10 & 11

b. The square root of 180 is between 13 & 14

i. Find the squares of 13 & 14

13² = 169

14² = 196

Because 169 < 180 < 196, we know that the square root of 180 is between 13 & 14

c. The square root of 12 is between 4 & 5.

i. Find the squares of 4 & 5

4² = 16

5² = 25

Because 12 < 16 & 25, we know that the square root of 12 is not between 4 & 5.

d. The square root of 5 is between 2 & 3.

i. Find the squares of 2 & 3

2² = 4

3² = 9

Because 4 < 5 < 9, we know that the square root of 5 is between 2 & 3.

I NEED THIS DONE IN 5 MINUTES PLS HURRY A teacher has 15 weeks in which to teach six chapters. Write an equation that represents the number of lessons the teacher must teach per week if there is an average of 8.5 lessons per chapter.

Answers

Answer:

The awnser might be 21.25 because you have to divide 8 by 6 then multiply 15 then you will get your awnser

Step-by-step explanation:

Write the equation in point slope form of the line that passes through the given point with the given slope (4,-11);m=3/4

Answers

Answer:

okay i hope process is thiss

PLEASE HELP ASAP ITS TIMED

Answers

Answer:

the first two are yes the other two are no

Step-by-step explanation:

i just did this on edgenuity

absolute value of -1/6

Answers

1/6
You get this answer because this is how far away from zero it is
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