Given
Annual fixed costs for a product are $75,000.
The product i sells for $6
it costs $2 in variable costs to make each product.
the variable cost per unit goes up to $2.50
find out how many units will the annual break-even point for the product change .
To proof
FORMULA
Break even = Fixed cost ÷ Contribution margin per unit
where
Contribution margin per unit = sale price - variable price
Take two cases
Case first
fixed costs for a product = $75,000
product itself sells = $6
variable costs = $2
put all the value in the above equation
we get
Contribution margin per unit = 6 - 2
= 4
[tex]Break even (say B1 ) = \frac{75000}{4}[/tex]
= 18750 units
CASE SECOND
the variable cost per unit goes up to $2.50
put value inthe formula
Contribution margin per unit = 6 - 2.50
= 3.5
[tex]Break even (say B2 ) = \frac{75000}{3.5}[/tex]
we get
Breakeven (sayB2) = 21428.6 unit
change in the break even product = B2- B1
= 21428.6 - 18750
= 2678.6 unit
Hence proved
The annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.
Explanation:To determine the break-even point, we need to calculate the number of units that need to be sold in order to cover the fixed costs. The formula to calculate the break-even point is:
Break-Even Point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)
In this case, the fixed costs are $75,000, the selling price per unit is $6, and the variable cost per unit is $2.
To find the current break-even point, we can substitute these values into the formula:
Break-Even Point = $75,000 / ($6 - $2) = $75,000 / $4 = 18,750 units
If the variable cost per unit goes up to $2.50, we can substitute this new value into the formula to find the new break-even point:
Break-Even Point = $75,000 / ($6 - $2.50) = $75,000 / $3.50 = 21,428.57 units
Therefore, the annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.
in cooking, 1 drop is equal to 1/6 of a dash. if a recipe calls for 2/3 of a dash, write an expression that would give the number of drops that are needed
Remark
You need only set up a proportion
Use the given first. Then let x = the number of drops.
1 drop / (1/6 dash) = x / (2/3 dash)
Rather than try and figure out what the fractions are going to do, why not change everything to decimals?
1/0.16666667 = x /0.6666667 multiply both sides by 0.6666667
1 * 0.6666667 / 0.16666667 = x
x = 4. That's the answer you would get if you kept the fractions. But decimals are much easier to handle in cases like this than are fractions.
If you want this in terms of genenerally how many drops would there be then
y = (1/6)*x <<< Answer
Where y is the number of dashes and x is the number of drops.
At the supermarket you can fill your own honey bear container. A custoner buys 12 oz of honey for $ 5.40.
A. how much does honey cost per ounce?
B. how much honey can you buy per dollar?
C. write to different equations that represent this situation. use h for ounces of honey and c for cost in dollars.
D. Choose one of your equations and sketch its graph. be sure to label the axes. ((DUE TOMMAROW))
Total number of oz of honey = 12 oz.
Cost of 12 oz of honey = $5.40.
Cost per oz of honey = 5.40 divided 12 = $0.45 per oz.
Therefore,
a) Cost per ounce of honey = $0.45.
b) Number of ounces we can buy for one dollar = 12 divided by 5.40 = 2.22 oz approximatly.
c)
h = 2.22c, wherr h is the number of ounces of honey for c dollars.
c=0.45h, where c is the total cost of h number of ounces of honey.
d) Let us take c=0.45h equation for graph the situation.
x-axis would be for h number of ounces of honey and y-axis is the total cost c of h ounces of honey.
Let us find some values of h and c for the graph.
For equation: c=0.45h for h=1,we get c=$0.45.
If we plug h=2, we get c= 0.45*2 = $0.90.
If we plug h=3, we get c= 0.45*3 = $1.35.
Therefore, we would plot (1,0.45), (2,0.90) and (3,1.35) on the graph and draw a straight line.
The relationship between the honey bear and the rates is an illustration of a linear function.
The price of honey per ounce is $0.45$1 will buy you 2.22 ounce of honeyThe equations for this situation are [tex]\mathbf{h = 2.22c}[/tex] and [tex]\mathbf{c = 0.45h}[/tex](a) The unit price of honey
From the question, we have:
[tex]\mathbf{\$5.40 = 12oz}[/tex]
So, the unit rate is:
[tex]\mathbf{Unit = \frac{\$5.40}{ 12oz}}[/tex]
[tex]\mathbf{Unit = \$0.45\ per\ oz}[/tex]
The price of honey per ounce is $0.45
(b) Quantity of honey for $1
In (a), we have:
[tex]\mathbf{Unit = \$0.45\ per\ oz}[/tex]
Take the inverse
[tex]\mathbf{Qty = \frac{1}{0.45}}[/tex]
[tex]\mathbf{Qty = 2.22}[/tex]
$1 will buy you 2.22 ounce of honey
(c) Different equations
Let represents the cost of honey, and h represent the ounce
In (a), we have:
[tex]\mathbf{Unit = \$0.45\ per\ oz}[/tex]
As an equation, it becomes
[tex]\mathbf{c = 0.45h}[/tex]
In (b), we have:
[tex]\mathbf{Qty = 2.22}[/tex]
As an equation, it becomes
[tex]\mathbf{h = 2.22c}[/tex]
Hence, the equations for this situation are [tex]\mathbf{h = 2.22c}[/tex] and [tex]\mathbf{c = 0.45h}[/tex]
(d) The graph
See attachment for the graph of [tex]\mathbf{c = 0.45h}[/tex]
Read more about linear functions at:
https://brainly.com/question/20286983
Solve the equation 3x+5y=16 for y
The value of y for the expression is y = (16 - 3x)/5
We have,
An expression contains one or more terms with addition, subtraction, multiplication, and division.
Al the like terms on one side of the expression if we are dealing with two sides of an expression.
Expression:
3x + 5y = 16
Subtract 3x on both sides.
3x + 5y - 3x = 16 - 3x
5y = 16 - 3x
Divide 5 on both sides.
y = (16 - 3x)/5
Thus,
The value of y for the expression is y = (16 - 3x)/5
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
5 cakes cost £4 how much do 7 cakes cost
You can solve this using proportion.
5 = 4
7 = ?
7(4)/5= 5.6
7 cakes cost £5.6
£5.60
divide £4 by 5 to obtain the cost of 1 cake then multiply this value by 7 for the cost of 7 cakes
5 → £4
7 → £4 × [tex]\frac{7}{5}[/tex] = £5.60
x + 4 is prime x2 – 9 can be factored using the formula.
We are given two binomials: x+4 , x^2-9.
x+4 can't be factored. Therefore, it is a prime.
Let us work on x^2-9.
9 could be written as 3^2.
Therefore, x^2-9 = x^2 - 3^2.
Now, we can apply difference of the squares formula to factor it.
We know a^2 -b^2 = (a-b) (a+b).
Therefore, x^2 - 3^2 can be factored as (x-3) (x+3).
So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).
Answer:
difference-of-squares
Step-by-step explanation:
x + 4 is prime
x2 – 9 can be factored using the
difference-of-squares formula.
A recent survey of
300 juniors and seniors in physics in a certain high school had the following results: 160 males, 80 junior females, 130 seniors. Draw a vent diagram and label the data.
Answer:
The total number of students in a survey is 300.
Let the number of junior male(JM) be x and the number of senior males(SM) be y.
Let the number of junior female(JF) be p and the number of senior males(SF) be q.
It is given that there are 160 males, 80 junior females, 130 seniors.
Since number of males are 160. So the number of females are,
[tex]300-160=140[/tex]
Since number of junior females is 80.
[tex]JF+SF=140\\80+SF=140\\SF=60[/tex]
Since number of seniors are 130.
[tex]SM+SF=130\\SM+60=130\\SM=70[/tex]
Since number of males is 160.
[tex]JM+SM=160\\JM+70=160\\JM=90[/tex]
Therefore, the table and venn diagram is shown below.
Kai is conducting a study about the percentage of students with jobs. His school has 2500 students. He asks everyone in his drama class to participate in a survey. He bases his findings on these results. Is this a valid study? Why or why not
Answer:
not a valid study
Step-by-step explanation:
Given that
Kai is conducting a study about the percentage of students with jobs. His school has 2500 students. He asks everyone in his drama class to participate in a survey. He bases his findings on these results.
Just selecting only students in his drama class to form the sample will not give accurate results since samples are not drawn at random. The sample done is convenient sample saving time, but failing to represent the entire student population with jobs.
THe best sample would be group the students with jobs and select from the group at random a sample size proportional to the population size.
which equation is the inverse of y=7x^2-10
y = 7x^2 - 10
Switch y and x.
x = 7y^2 - 10
Solve for y.
Add 10 to both sides.
x + 10 = 7y^2
Divide both sides by 7.
(x + 10)/7 = y^2
√ both sides.
√(x + 10)/7 = y
Replace y with f^-1(x)
f^-1(x) = √(x + 10)/7la tonya has 16 photos on her phone and luis has p photos in his wallet
*(Information)*=
-This question is asking for a expression
- She has 16 photo on her phone (Since this is a number this is a constant)
- [tex]p[/tex] is the variable
- Variables are unknown numbers
-Constants is a number like [tex]9, 10, 25, 1,[/tex] and more
*(Answer)*= [tex]p+16[/tex]
*(Explanation)*= Te reason why it is [tex]p+16[/tex] is because p is the unknown number. The constant is 16 in this question.
the length of a rectangular pen is 5 more than its width. The perimeter is 26 meters. Find the length and width.
HELP ME QUICKLY PLZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify the given equation.
17x - 6 + 3x - 5 = x + 11 + 4x
20x - 11 = 5x + 11
20x + 1 = 5x + 11
9x = 16x
Answer: 1 7/15
We need to figure out how we got that answer...
17x-6+3x-5= x+11+4x
17x-11+3x=x+11+4
20x-11=x+11+4x
20x-11=5x+11
Make sure to subtract 5x
20x-11-5x=11
15x-11=11
Make sure to add 11
15x=11+11
15x=22
Make sure to divide by 15
x= 22/15
x= 1 7/15
Hope this helps...
-Justin0208
Explain each of the following forms of representing decimals: standard form, expanded form, word form
help me on this one 4y - (y -4) =-20
Hey there!!
Given equation :-
... 4y - ( y - 4 ) = -20
Let' re write this equation as :
... 4y -1 ( y - 4 ) = -20
Using the distributive property :
... 4y + ( -1 ) ( y ) + ( -1 ) ( -4 ) = -20
... 4y - y + 4 = -20
Combining like terms :
... 3y + 4 = -20
Subtracting 4 on both sides :
... 3y = -24
Dividing by 3 on both sides :
... y = -24/3
... y = -8
Hope my answer helps!!
what is the prime factorization for 452 in exponential form
Answer:
2 * 2 * 113
Step-by-step explanation:
452: 2 * 226
226: 2 * 113
113 is a prime number
452: 2 * 2 * 113
452: 2^2 * 113
the rectangler diagram shows the design for a food court at the zoo what is the length of the walkway
You need to provide more information in order for us to help you with this.
Answer: 50ft
Step-by-step explanation:
i had the same problem, i guessed and got it right.
In the united states the speed limit signs are in Miles per hour. Unfortunately, your speedometer only reads in km/hour. How many fast are you allowed to go if the speed says 70 mph( round to the nearest hundredth) ?
Hello,
1mph = 1.60934kph
70 x 1.60934 = 112.6538
Answer:
70mph = 112.6538kph
Vector has 4 orange picks for every three green picks. If 8 of the picks are orange, how many picks are green?
The answer is 6.
If we know that you get 3 greens for every 4 oranges then all we need to do is extrapolate.
The ratio of orange picks to green picks is 4:3. Given 8 orange picks, we use a proportion to find that there are 6 green picks. Therefore, there are 6 green picks.
To solve this, set up a proportion:
4 orange picks / 3 green picks = 8 orange picks / x green picksCross-multiply to find the value of x:
4 × x = 3 × 84x = 24Divide both sides by 4:
x = 6Therefore, there are 6 green picks.
Hence, if there are 8 orange picks, then there are 6 green picks.
If someone could help me with this that'd be great!
In Microsoft Excel, you have data that has been entered into cell A1. You need a function that looks up this value from A1 in a table of values in E1 through F10. You need to have the value from the second column (F) be displayed in the cell in which you are writing this formula. Also, A1 will precisely match one of the values in the first column (E). What formula would you write to look up this information?
I'm going to assume that there is something in A1 but the way you are describing the problem, you could just as easily write a constant in the formula you are using in cells E1 to E10 and F1 to F10
The trick is to refer to A1 as $A$1 which means that E1 to E10 isn't going to get creative and start looking for things in a1 to a10.
Here is an actual table made from what I think you mean
1 113 114
2 114 116
3 115 118
4 116 120
5 117 122
6 118 124
7 119 126
8 120 128
9 121 130
10 122 132
1 to 10 on the left is in column D
A1 contains 112
In column E the enteries from 1 to 10 simply take = $A$1 + d1
Column F uses $A$1 and adds 2*d to 112
Here is the chart shown in formula form.
1 =D1+$A$1 =$A$1 + 2*D1
2 =D2+$A$1 =$A$1 + 2*D2
3 =D3+$A$1 =$A$1 + 2*D3
4 =D4+$A$1 =$A$1 + 2*D4
5 =D5+$A$1 =$A$1 + 2*D5
6 =D6+$A$1 =$A$1 + 2*D6
7 =D7+$A$1 =$A$1 + 2*D7
8 =D8+$A$1 =$A$1 + 2*D8
9 =D9+$A$1 =$A$1 + 2*D9
10 =D10+$A$1 =$A$1 + 2*D10
Remember that 1 to 10 is in d1 to d10
To look up a value from A1 in a table (E1:F10) and display the corresponding value from column F, use the formula =VLOOKUP(A1, E1:F10, 2, FALSE) in the desired output cell.
To look up the value in cell A1 from a table in E1 through F10 and return the value from the second column (F), you would use the VLOOKUP function. The appropriate formula to enter into the cell where you want to display the result would be =VLOOKUP(A1, E1:F10, 2, FALSE). This formula begins with an equal sign, as all Excel formulas do, and instructs Excel to find the value in cell A1 within the first column of the range E1:F10 and return the corresponding value from the second column of that range. The FALSE argument specifies that you want an exact match.
A 6-foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
8.68 feet
1.41 feet
52.06 feet
25.5 feet
6 / 3.5 = 1.7 * 14 7/8 25 .5 d
The length of the building using the principle of proportional relationship is 25.50 feets
Man's height, m = 6 feetsMan's shadow, s = 3.5 feets Building shadow, b = 14.875 feets Building height , h =?Setting up a proportional relationship :
Man's height / shadow = Building height / shadow
6 / 3.5 = h / 14.875
Cross multiply :
3.5h = 14.875 × 6
3.5h = 89.25
Divide both sides by 3.5 to isolate h
h = 89.25 / 3.5
h = 25.50 feets
Therefore, the length of the building is 25.50 feets
Learn more : https://brainly.com/question/18796573
what is the simplified expression of the following polynomial: xy4 + 5y7 - (6xy + 7y7) - x8y2 + (-3xy4)
This polynomial would simplified as: -2y^7-2xy^4-x^8y^2-6xy (I'm assuming you meant to square the answers)
If you didn't the answer would be: -30xy-14y
But I'm pretty sure you meant to put the first one!
Answer:
[tex](-2y^{7}-2xy^{4}-x^{8} y^{2}-6xy)[/tex]
Step-by-step explanation:
The given expression is [tex]xy^{4}+5y^{7}-(6xy-7y^{7})-x^{8}y^{2}(-3xy^{4})[/tex]
We have to simplify the given expression.
[tex]xy^{4}+5y^{7}-6xy-7y^{7}-x^{8}y^{2}-3xy^{4}[/tex]
[tex](xy^{4} -3xy^{4})+(5y^{7}-7y^{7})-6xy-x^{8}y^{2}[/tex]
[tex]-2xy^{4}-2y^{7}-6xy-x^{8} y^{2}[/tex]
[tex]-2xy^{4}-2y^{7}-6xy-x^{8}y^{2}[/tex]
Therefore, simplified form of the expression will be
[tex](-2y^{7}-2xy^{4}-x^{8} y^{2}-6xy)[/tex]
Is the statement 32+(-17) is 17 units from 32 in the positive direction direction true.
Hello there!
[tex]32+(-17)[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓
First you had to remove parenthesis.
[tex]32-17[/tex]
Then you had to subtract by the numbers.
[tex]32-17=15[/tex]
[tex]=15[/tex]
Answer⇒⇒⇒=15
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
No, statement 32+(-17) is 17 units from 32 in the positive direction direction is true is a false statement.
we have to check the statement 32+(-17) is 17 units from 32 in the positive direction is true or not.
What is negative direction?If the object moves in opposite then the velocity of it is negative.
The given statement is 32+(-17) .
We need to check is 17 units from 32 in the positive direction direction true or not.
By the definition of negative direction, -17 is in negative direction.
32+(-17), 17 has negative Direction
Therefore 32+(-17) is 17 units from 32 in the positive direction is false.
To learn more about Negative Direction click here: https://brainly.com/question/16038935
#SPJ2
One weekend Drake and JaMarcus mowed lawns to earn spending money. Together they earned 15.50 an hour for 15 hours of work. Each received half of the total earnings. If Drake then spent 38 dollars on a new video game, what was the total amount he had left, in dollars and cents,from the money he earned from mowing lawns that weekend?
Can you find the third angle measure in a triangle, if given the other two angle measures?
yes. there is an equation.
Help ASAP. Rt answer and explain pls. Thank you
Due 10/9/18
3-6+5 is equal to 2, as opposed to 3-5+6 which is 4. The commutative property is only applicable to positive numbers, in this case, Jerome could have done 5-6+3, which would still equal to 2.
The sign is part of the number.
The first term is +3, the second term is -6, and the third term is +5
In order to use the commutative property so that the -6 and +5 are switched, it would be rewritten as: 3 + 5 - 6
Answer: Jerome did not include the sign with the number when he used the commutative property.
NOW THIS IS easy but if u don't wanna help ig it's fine
Givens
Let C = number of caterpillars.
Let L = legs on each.
Let T = total number of legs.
Formula
T = C*L
how do you find the GCF in a math problem?
When we have two or more given numbers, we can find the largest factor that both numbers have in common. This is called the GCF or the Greatest Common Factor. ... Example: Find the GCF of 64 and 96. tep 1:
I just need help with #4
2 x 10³ = 2000
5 x 10 = 50
7 x 10⁻² = 0.07
1 x 10⁻³ = 0.001
2050.071
First operation is multiplication .
(2000)+(50) +(0.07)+(0.001) =2050.071
3y squared + y squared +9y+3
3y² + y² + 9y + 3
Simplify. Combine like terms.
(3y² + y²) = 4y²
4y² + 9y + 3 is your answer
hope this helps
~Rise Above the Ordinary
Bella is baking chocolate chip cookies for an event. It takes of a cup of flour to bake 6 cookies. She uses cups of flour for every 50 chocolate chips used. There are a total of 150 chocolate chips for each tray of cookies.
If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total?
A.
90 cookies
B.
66 cookies
C.
40 cookies
D.
32 cookies
Ratios and Proportions
Tools
Save Session
Questions:
0 of 10 Answered
1
2
3
4
5
6
7
8
9
10
Answered
Current
Unanswered
2 of 10 Answered
Session Timer: 6:53
Session Score: 50% (1/2)
Answer:
Option B. 66 cookies
Step-by-step explanation:
The complete question is
Bella is baking chocolate chip cookies for an event. It takes 3/5 of a cup of flour to bake 6 cookies. She uses 1 1/10 cups of flour for every 50 chocolate chips used. There are a total of 150 chocolate chips for each tray of cookies. If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total?
step 1
we know that
There are a total of 150 chocolate chips for each tray of cookies
Find out the number of chocolate chips if Bella is baking 2 trays
so
using proportion
Let
x ----> the number of chocolate chips
[tex]\frac{150}{1}=\frac{x}{2}\\\\x=150(2)\\\\x=300\ chocolate\ chips[/tex]
step 2
we know that
She uses 1 1/10 cups of flour for every 50 chocolate chips used.
Find out the number of cups of flour for 300 chocolate chips
so
using proportion
Let
x ----> the number of cups of flour
Convert mixed number to an improper fraction
[tex]1\frac{1}{10}\ cups=\frac{1*10+1}{10}=\frac{11}{10}\ cups[/tex]
[tex]\frac{(\frac{11}{10})}{50}=\frac{x}{300}\\\\x=\frac{66}{10}\ cups[/tex]
Simplify
[tex]\frac{66}{10}\ cups=\frac{33}{5}\ cups[/tex]
step 3
we know that
It takes 3/5 of a cup of flour to bake 6 cookies
Find out the number of cookies she bake for 33/5 cups of flour
so
using proportion
Let
x -----> the number of cookies
[tex]\frac{6}{(3/5)}=\frac{x}{(33/5)}\\\\x=6(33)/3\\\\x=66\ cookies[/tex]
Answer:
66
Step-by-step explanation:
i guessed a got correct