If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball costs $28 to make, plus $15,000 per month in overhead costs (mostly Gabe's extravagant salary) find: a. The average cost c(x) of producing each soccer ball b. Algebraically find the number of soccer balls Gabe's company must produce per month in order to break even (Profit = 0). Profit = Total Revenue – Total Cost c. Algebraically find the number of soccer balls Gabe's company must make to earn a profit of $10,000 per month. d. If Gabe took a pay cut to reduce the overhead costs to $8,000 per month, how many fewer balls would the company have to sell to break even. (There are multiple ways to get this result).

Answers

Answer 1

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

First, we need to calculate the average total cost:

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

Now, we can calculate the break-even point in units:

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

For the desired profit of $10,000:

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

Finally, fixed costs dropped by $8,000:

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units


Related Questions

Jania makes $30,000 per year. Income tax is 32% of her total income. How much does she pay in taxes?

Answers

Answer:

9,600

Step-by-step explanation:

You take 32% of 30,000 and boom

A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
8 mi
5 mi
2000 ft
Note: Figure is not drawn to scale.
What is the elevation in feet of the road 5 miles from the starting point?
A. 1000
B. 1250
C. 750
D. 1500

Answers

Answer:

I think the answer is 1500

Step-by-step explanation:

 Elevation of the road at 5 miles from the starting point is 1250 ft.

Similarity of triangles:    If two triangles are similar, their corresponding sides will be proportional.

Given in the question,

Two triangles formed by a road are ΔADE and ΔABC (As shown in the figure attached).

Since, ∠A ≅ ∠A (Reflexive property)

           ∠AED ≅ ∠ACB (right angles)

            ΔADE ~ ΔABC (By A-A property of similarity)

In these similar triangles, corresponding sides will be proportional.

[tex]\frac{AB}{BC}=\frac{AD}{DE}[/tex]

[tex]\frac{8}{2000}=\frac{5}{DE}[/tex]

[tex]DE=\frac{5\times 2000}{8}[/tex]

      [tex]=1250[/tex] miles

   Therefore, elevation of the road at 5 miles from the starting point will  be 1250 ft.

    Option (B) will be the answer.

Learn more about the similarity of the triangles here,

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Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A. 4m + 3
B. 3m + 4
C. 3m – 4
D. 4m – 3

Answers

It would be B because it is three times the marbles so 3M and then four more than that so +4
it would be B bc da marbles shows how many .

distance parcouru par une balle de famas

Answers

Answer:

4005 mètres de distance.

Step-by-step explanation:

solving 2 step equations k/9 -1=10

Answers

Answer:

99

Step-by-step explanation:

k/9=10+1

k/9*9=11*9(cancel division 9 to multiplication 9)

k=99

Which of the following inequalities matches the graph?

A. 6x+y<3
B. -6x+y<3
C. 6x-y<-3
D. the correct inequality is not listed​

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 6x - y < -3

Step-by-step explanation:

The graphed inequality shows that:

The function is increasing, so it has a positive slope, shaded region is to the left of the dashed line, so it should have > sign after y.

Above information lets us build the inequality:

y > ax + b, where a> 0

Now lets verify the options:

A. 6x + y < 3 ⇒ y < -6x + 3

No

B. -6x + y < 3 ⇒ y < 6x + 3

No

C. 6x - y < - 3 ⇒ y > 6x + 3

Yes

D. Not applicable

Simplify the following expression. (K + 8)(3k^2 - 5k + 7)

Answers

Answer:

3k^3+19k^2-33k+56

Step-by-step explanation:

3k^3-5k^2+7k+24k^2-40k+56

3k^3+19k^2-33k+56

Paul rolls a fair dice 132 times.
How many times would Paul expect to roll a three?

Answers

We are going to take 132 divided by 6, because there are 6 different rolls he can get. So, 132/6=22

The probability of getting 3 in 132 times is 22.

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Paul rolls a fair dice 132 times.

The probability of getting 3 in one roll is 1/6

so now it is 132 rolls

so,

= 132/6

= 22

Hence, The probability of getting 3 in 132 times is 22

For more references on probability, click;

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Find the slope of the line: i’ll give brainliest :)


picture above ^^

Answers

the answer should be -1/4 because the line is for one going from bottom right to top left (negative) and has a rise of 1 and a run of -4
Here’s the answer w explanation :)

If a sweatshirt is on sale for 35% and now costs $52,
what was the original price?​

Answers

The original price was $70.2. (If it’s not supposed to have cents then it’s just $70).

This is because you convert 35% to 1.35. Then, you multiply 52 by 1.35. That’ll give you 70.2.

Answer:

The original price of the sweatshirt is $80.

Step-by-step explanation:

If a product is on sale for a 35% discount, then it is 65% of the original price ( because 100 - 35 = 65)

So set up a proportion,

((part)/(whole)) = ((x)/(100))

In the given information, we know that the part (the amount paid) is 52$, what we need to find is the whole. To make solving the problem easier, let's call the whole x.

((52)/(x)) = ((65)/(100))

Simplify,

52/x = 13/20

Cross multiply,

1040 = 13x

Inverse operations,

1040 = 13x

/13       /13

80 = x

So the original price of the sweatshirt is $80.

The points in the table lie on a line. What is the slope of the line?
X
-8
-2
4
10
у
8
1
1
-6
-13
The slope of the line is
24

Answers

The slope of the line is-7/6

Two linear functions are shown. Which function has the greater initial​ value?

Answers

Answer:

The answer is Function A

Step-by-step explanation:

Trust me its correct

pls mark me as brainliest

Answer:

we conclude that function A has a greater initial value.

Step-by-step explanation:

As we know that the initial value is obtained by setting x=0

so

Given the function A

From function A, it is clear that at point x=0, the value of y=8

i.e.

at x=0, y=8

Given the function B

[tex]y=3x+4[/tex]

substitute the value x=0 to get the initial value of function B

[tex]y=3x+4[/tex]

[tex]y=3(0)+4[/tex]

[tex]y=0+4[/tex]

[tex]y=4[/tex]

i.e.

at x=0, y=4

Therefore, we conclude that function A has a greater initial value.


The turning of a figure or object about a fixed point is called:

Answers

I dont know im so sorry so i think its easy if you search it up!

write a translation rule that maps point d(7 -3) onto point d'(2 5)

Answers

Answer:

translate (x,y) (x-5,y+8)

Math Problem will give brainliest! If you say something random i will get you banned.

Answers

Answer: I can’t figure this one out because I’m only in 8th grade.

Step-by-step explanation:

Answer:wh0re

Step-by-step explanation:

PLEASE HELP W MATH QUESTION !!!
( WILL MARK BRANLIEST )

Answers

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 5, - 1 ] , thus

f(b) = f(- 1) = - (- 1)² - 4(- 1) + 6 = - 1 + 4 + 6 = 9

f(a) = f(- 5) = - (- 5)² - 4(- 5) + 6 = - 25 + 20 + 6 = 1 , then

average rate of change = [tex]\frac{9-1}{- 1-(-5)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Which decimal is the largest?
A.0.02
B. 0.2
C. 0.19
D. 0.029
HURRRYYYYYYY

Answers

B. is the correct answer. .2 is the largest off decimals of them all.

Answer:

It's B!

Step-by-step explanation:

Dividing Rational Expressions

Answers

Answer:

[tex] \frac{6}{(x + 2)} [/tex]

Step-by-step explanation:

[tex] \frac{2x + 2}{x + 2} \div \frac{4 {x}^{2} +8 x + 4}{12x + 12} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{4( {x}^{2} + 2x + 1) }{12(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \div \frac{( x + 1)^{2} }{3(x + 1)} \\ \\ = \frac{2(x + 1)}{x + 2} \times \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ \\ = \frac{6 {(x + 1)}^{2} }{(x + 2) {(x + 1)}^{2} } \\ \\ = \frac{6}{(x + 2)} [/tex]

How do you write 199.4% as a decimal?

Answers

Answer:

1.994

Step-by-step explanation:

"Percent" means "per 100" or "over 100". To convert 199.4% to a decimal rewrite 199.4 percent in terms of per 100 or over 100.

199.4% = 199.4 over 100 or,

199.4%=199.4100

199.4 over 100 is the same as 199.4 divided by 100. Completing the division we get:

199.4 ÷ 100 = 1.994

Therefore, we have shown that

199.4% = 1.994

Simplified Conversion:

Remove the percent sign % and divide by 100.

199.4 ÷ 100 = 1.994

Shortcut Conversion:

Move the decimal point 2 places to the left and remove the percent sign %

199.4% becomes 1.994

Answer:

1.99400

I hope this helps!

IM IN A TIMED TEST 30 MIN LEFT

Which is the graph of the linear equation x – 2y = 6?
On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).
On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).
On a coordinate plane, a line goes through points (0, 3) and (6, 0).

Answers

Answer:

d

Step-by-step explanation:

Answer:

On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).

Step-by-step explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For

x=0

0−2y=6

−2y=6 then divide it by -2

y=(0.-3)

second point:

x−(2⋅0)=6

x−0=6

x=(6,0)

Help pls!?right answer I’ll give you a crown

Answers

Answer:

1.5

Step-by-step explanation:

Y + 196355
I NEED TO VENT PLEASEEEEE HELP

Answers

y+196355 equals y+196355 or 196355y

but most likey it just stays the same

Answer:

196355y

Step-by-step explanation:

you can vent to me

I need to Write an explanation of how find the slope of a line given points A (1,5) B (-7,8) can someone help me please!

Answers

There’s a formula for it not sure what it is

Answer:

finding slope

Step-by-step explanation:

So slope is the change in y over the change in x, to show (Y/X). So finding the difference or the change usually means you need to subtract which you do to the x and y values. So you subtract the y's and x's and what you get is the change.

if f(x)=x/2-2 and g(x)=2x^2-2+x-3, find (f+g)(x)

Answers

Answer:

Add all the corresponding parts of each function. The degree of x determines which correspond.

2x^2 (degree 2)

x + x/2 (degree 1)

-3-2 (degree 0)

So you get

2x^2 + 3x/2 - 5

Step-by-step explanation:

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!!!!

Determine type of triangle

Answers

Answer:

isosceles right

Step-by-step explanation:

two same side and right angle

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

It is isosceles right triangle as two sides have same meausurement and right angle because 1 angle is 90 degrees

Question 8 of 9

HELP PLEASE!!Translate the phrase into a variable expression. Use the letter c to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division
the product of 16 and the number of chipmunks...
Answer here
SUBMIT

Answers

The algebraic expression of the statement is 16c

How to rewrite the statement?

The statement is given as:

the product of 16 and the number of chipmunks

Product means *

So, we have:

16 * the number of chipmunks

The number of chipmunks is represented with c

So, we have

16 * c

Evaluate

16c

Hence, the algebraic expression of the statement is 16c

Read more about algebraic expression at:

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quick question
what if i want my own room but there are six kids and only two rooms then what do i do
ps: its not a math question

Answers

Answer:

ask your parents

Step-by-step explanation:

Step-by-step explanation:

i honestly don't know I can't help with that

Ace plays please help me with it...

Answers

Answer:

[tex]a=\sqrt{55}[/tex] or [tex]7.146[/tex]

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

7.2 is the answer to your question.

Graph the line.
y=-4x+4

Answers

Graph the line.

y=-4x+4

Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4Graph the line.

y=-4x+4

MATH HELP PLEASEE!! MARKING BRANLISTT! D:

Answers

Answer:

the one with the empty circle

brainliest.pls

Answer:

open circle going to the left so your answer is B

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