Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage
Youngsville Industries Inc. expects to maintain the same inventories at the end of 20Y5 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows
Estimated Fixed Cost
Estimated Variable Cost (per unit sold)
Production Costs:
Direct Materials
$48
Direct Labor
$38
Factory Overhead
$150,000
$25
Selling Expenses:
Sales salaries and commissions
$125,000
$10
Advertising
$50,000
Travel
$15,000
Miscellaneous selling expense
$10,000
$2
Administrative Expenses:
Office and officers' salaries
$140,000
Supplies
$10,000
$5
Miscellaneous administrative expense
$10,000
$2
Total
$510,000
$130
It is expected that 22,175 units will be sold at a price of $170 a unit. Maximum sales within the relevant range are 27,500 units.
Answer:
Giving the following information:
Units sold= 450,000
Total Sales= $12,150,000
Total variable cost= $6,925,500
Total fixed cost= $3,242,673
First, we need to calculate the unitary selling price and variable cost. Then, we calculate the contribution margin.
Selling price= 12,150,000/450,000= $27
Unitary variable cost= 6,925,500/450,000= $15.39
Contribution margin per unit= 27 - 15.39= $11.61
To calculate the contribution margin ratio, we need to use the following formula:
Contribution margin ratio= contribution margin/ selling price
Contribution margin ratio= 11.61/27
Contribution margin ratio= 0.43
To calculate the break-even point both in units and dollars, we need to use the following formulas:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 3,242,673 / 11.61= 279,300 units
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 3,242,673/0.43= $7,541,100
Finally, we need to incorporate the desired profit to the break-even point formula:
Break-even point in units= (3,242,673 + 426,087) / 11.61
Break-even point in units= 316,000 units
Step-by-step explanation:
Which are vertical angles?
If 21 out of 100 patients have high cholesterol, what percent of the patient population has high cholesterol?
Answer: 21%
Step-by-step explanation:
Percent by definition is based on "out of 100." If 21 out of 100 has high cholesterol, then the percentage is 21%
Answer:
21%
Step-by-step explanation:
Percents are always out of 100. If it says a # out of 100, the percentage is always the number that it is mentioning.
For example,
51 out of 100 is 51%
79 out of 100 is 79%
A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes.
Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total
Answer:
Step-by-step explanation:
Given that:
There are 600 residents in the survey.
And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.
The objective is to construct a two by two table from the given data:
Diabetes
Yes No Total
Smoking
Yes 157 230 - 157
= 73 230
No 50 370 - 50 600 - 230
= 320 = 370
Total 157 + 50 320+ 73
= 207 = 393 600
Trevor is 8 1/2 inches shorter than his dad. If his dad is 6 1/4 feet tall. How tall is trevor?
Answer:
66.5 in or 5.5 ft (rounded)
Step-by-step explanation:
Answer:
5 ft 6 1/2 inches
Step-by-step explanation:
6 1/4 ft
1/4 ft is 3 inches
6 ft 3 inches
Subtract 8 1/2 inches
6 ft 3 inches
- 8 1/2 inches
------------------------------
borrow from the ft ( 1 ft = 12 inches)
5 ft 3+12 inches
- 8 1/2 inches
------------------------------
5 ft 15 inches
- 8 1/2 inches
------------------------------
5 ft 6 1/2 inches
Help please! I need to know the domain and range of this graph
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[tex]domain = ( - \infty \: , \: \infty ) [/tex]
[tex]range = ( - \infty \: , \: \infty ) - (0)[/tex]
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Answer:
Domain: (-oo, 3) U (3, +oo)
Range: (-oo, 0) U (0,oo)
Step-by-step explanation:
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
[tex]\^ p =\frac{k}{n}[/tex]
=> [tex]\^ p =\frac{14}{16}[/tex]
=> [tex]\^ p = 0.875 [/tex]
The null hypothesis is [tex]H_o : p = 0.5[/tex]
The null hypothesis is [tex]H_o : p > 0.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }[/tex]
[tex]z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }[/tex]
[tex]z = 3[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > 3)[/tex]
From the z table the probability of Z>3 is mathematically represented as
[tex]P(Z > 3) = 0.0013499[/tex]
So
[tex]p-value = 0.0013499 [/tex]
Let assume the level of significance is [tex]\alpha = 0. 05[/tex]
Generally from the value obtained we see that [tex]p-value < \alpha[/tex] Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 714 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc
Answer:
z= 168
Step-by-step explanation:
proportion zinc to copper = 4/17
4/17 = z/ 714
17 • z = 4 • 714
17 • z = 2856
z= 2856/17
z = 168
Answer:
60
Step-by-step explanation:
Please help me, I am sorry that I’m so terrible at math
Answer:
x[tex]\leq[/tex]3
Step-by-step explanation:
hope this helps
Answer:
-6 <x< 3 or x<3, x<-6
Step-by-step explanation:
-18 < 4x +6 < 18
-18-6 <4x< 18-6
-24 <4x< 12
-24/4 <x< 12/4
-6 <x< 3
hope this help you
what is the probability of 26/100 19/100 and 55/100
Answer:
1/3
Step-by-step explanation:
Hope this helps
Answer:
1/3
Step-by-step explanation:
E
2. A line goes through the points, and .
(a) What is the slope of the line? Show your work.
(d) Write the equation of the line in point-slope form. Show your work.
(e) Write the equation of the line in slope-intercept form. Show your work.
Answer:
on the 1st one you have to put points on the line where the square match the best like put points on the line where the squares are rect with the line and then choose 2 of them and make a triangle like; if there is the line you have to jump the squares while until arriving the other point. I hope his help you!:)Alexa is using 6 pounds of apples to make pies.
How many ounces of apples is Alexa using for the pies?
(1 pound = 16 ounces)
Answer: The answer would be 96 ounces
Step-by-step explanation: You simply multiply 6 by 16 because that's how you convert pounds to ounces.
Answer:It would be 96 ounces because you would fo 16 × 6 = 96
Rahul deposited Rs. 12,000 in a bank for 2 years. If it is compoundedannuallyat 9% p.a., what amount will he receive on maturity? (at the end of two years).
Answer:
Rs 14257.2
Step-by-step explanation:
From the formula;
A= P(1 + i)^n
A= amount
P= principal
i= rate
n= time
A= 12000(1 + 0.09)^2
A=12000(1.09)^2
A=Rs 14257.2
The points on a section of an exam is given by the function , f(x), where x is the number of questions answered correctly in that section. If f(12) = 18, then a test-taker receives 18 points for answering _____ questions in the section correctly. *
Answer:
12
Step-by-step explanation:
x is the number of questions answered correctly in that section
Let S={1,4,8,16,32,64} be a sample space. If P(1)=132 and P(2k)=21−k for 2≤k≤6, find the expected value of the event E={1,8,32,64}. Give your answer as a fraction in its simplest form. Provide your answer below:
Answer:
Step-by-step explanation:
193/32
Find the distance between the points (2, -9) and (-1, 4).
A.13.34
B.5.10
C.13.04
D.5.83
Answer:
A. 13.34
Step-by-step explanation:
This is the formula d=√((x_2-x_1)²+(y_2-y_1)²)
Plug in
d=√(-1-2)² + (4+9)²
d= √9 + 169
d= √178
d= 13.34
Free pints get it lolololo
Answer:
Yayee
Step-by-step explanation:
(IF YOU'RE IN COLLEGE, ANSWER THIS) Should I delete social media?
I have twitter and I feel like it's impacting my life. I'm in college and whenever I study or work on an assignment, I find myself distracted by clicking on the website, and scroll through the timeline for hours. And then boom, it's 8pm. It's the reason why I'm so behind on my studies. I think I should delete it because I care about my future and I wanna become successful (I wanna be a doctor). but at the same time I have like 334 followers lol and it's nice but I should delete it for good I think. People are too toxic and it does no good for my brain.
Answer:
I think you should delete it because as you said it is distracting you. I think you should just focus on your studies if that is the most important thing to you
Kelsey has $550 is her bank account and withdraws $25 per week from her bank account. Kris has $10 in his bank account and each week he deposits $15 of his allowance and $20 earned from dog walking into his bank account. After how many weeks do they have the same amount of money?
Answer:
13 weeks they both have $ 225
Step-by-step explanation:
-9(-2x-3) simplified
Answer:
18x +27
Step-by-step explanation:
-9(-2x-3)
Distribute
-9 * -2x -9*(-3)
18x +27
The answer is 118 as well right??
Answer: 118 is the correct degree
Step-by-step explanation:
Measures of the missing numbered angles
Answer:
23
Step-by-step explanation:
The adjacent supplementary angle to any of the interior angles of a triangle is called an exterior angle of a triangle.
Answer:
Correct
Step-by-step explanation:
The supplementary angle to any of the interior angles of a triangle is called an exterior angle, they are supplementary because they form a 180º angle when you extend a straight line from the adjacent side of the angle and any straight angle is a 180º angle, so supplementary angles added up would make 180º.
The state of California collected $103.0 billion in personal tax for 2019. The population
in California is about 39.50 million people. Round all scientific answers with two decimals
with no spaces.
Write the personal tax in scientific notation. 1 point Debt:
Write the population in scientific notation. 1 point Population:
Calculate the Personal Tax Per Capita and write your answer in standard notation. Round
to a whole number. 2 points
Use the personal tax per capita in a sentence explaining what this value means. 4 points
Answer:
Step-by-step explanation:
a. The personal tax collected for 2019 is $103.0 billion.
The tax in scientific notation = $1.03 x [tex]10^{11}[/tex]
b. The population in California is 39.50 million people.
The population in scientific notation = 3.95 x [tex]10^{7}[/tex]
c. Assuming that the whole population of people in Califonia are working i.e employed, the the Personal Tax Per Capita can be determined by;
Personal Tax Per Capita = [tex]\frac{income tax revenue}{taxable population}[/tex]
= [tex]\frac{103000000000}{39500000}[/tex]
= 2607.595
= 2.61 x [tex]10^{3}[/tex]
= 3.00 x [tex]10^{3}[/tex]
d. Therefore provided that the whole population of people in California for 2019 are employed, then each person pays an average of $2607.595 per annum in the year 2019.
I really need help I will mark brainliest
Answer:
is there a question orrrr
Help me please! If you can explain it will help me a lot, if not then it’s okay.
Answer:
I cant help bc it doesnt show :((( sorrrrry
Step-by-step explanation:
The density of oxygen is 1.429*10^-3 grams per cubic centimeter. How is this number written in standard form
Answer:
The density of oxygen in standard form is 0.001429 grams per cubic centimeter.
Slove the equation for x, and enter your answer below.
7x - 12x - 5 = -45 + 15
How do I solve this please provide an explanation
Answer:
x = 5 (check steps below)
Step-by-step explanation:
first off lets combine like terms to make it simple so subtract 7x and 12x which comes out to be -5x and add -45 and 15 on the other side which equals -30 so we end up with
-5x -5 = -30
Now we add 5 onto the other side
-5x = -25
finally we divide by -5 on each side to have x by itself
x = 5
(the negatives cancel each other)
What percent of 60 is 15?
Answer:
15 is 25% of 60.
Step-by-step explanation:
What is the value of p?