Answer:answer is b
Step-by-step explanation: Just makes since
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:
Find the equation of the line passing through the points (-2,-4) and (7,23)
Answer:
y=−5.4x
Step-by-step explanation:
Slope -5.4
Intercept -14.80
Help the pic is right here
Answer:
i think its C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
its just division tbh
variation does not depend on that of another.
#6 THE SOLUTION FOR F(X) = 3X + 2 WHEN F(X) IS 2 IS
Answer:
0
*see below incase you worded it wrong
Step-by-step explanation:
then we substitute 2 for f(x)
2 = 3x + 2
0 = 3x
x = 0
UNLESS you mean f(2) is what then that is:
f(2) = 3(2) + 2 = 8
hope that helps!
Which statement describes the inverse of m(x) = x^2 – 17x?
a. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
b. The domain restriction x ≥ StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
c. The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction minus StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
d.The domain restriction x ≥ Negative StartFraction 17 Over 2 EndFraction results in m–1(x) =StartFraction 17 Over 2 EndFraction + StartRoot x + StartFraction 289 Over 4 EndFraction EndRoot .
Given:
The function is
[tex]m(x)=x^2-17x[/tex]
To find:
The inverse of the given function.
Solution:
We have,
[tex]m(x)=x^2-17x[/tex]
Substitute m(x)=y.
[tex]y=x^2-17x[/tex]
Interchange x and y.
[tex]x=y^2-17y[/tex]
Add square of half of coefficient of y , i.e., [tex]\left(\dfrac{-17}{2}\right)^2[/tex] on both sides,
[tex]x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2[/tex]
[tex]x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
Taking square root on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}[/tex]
Add [tex]\dfrac{17}{2}[/tex] on both sides.
[tex]\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y[/tex]
Substitute [tex]y=m^{-1}(x)[/tex].
[tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex]
We know that, negative term inside the root is not real number. So,
[tex]x+\left(\dfrac{17}{2}\right)^2\geq 0[/tex]
[tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex]
Therefore, the restricted domain is [tex]x\geq -\left(\dfrac{17}{2}\right)^2[/tex] and the inverse function is [tex]m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}[/tex].
Hence, option D is correct.
Note: In all the options square of [tex]\dfrac{17}{2}[/tex] is missing in restricted domain.
Answer:
C on edu
Step-by-step explanation:
8. Fay Teng's expenditures for the past 3 months were: August,
$1,735.50; September, $1,829.42; and October, $1,793.88.
What is her average monthly expenditure?
9. You use the utility company's budget plan for paying your
home heating bills. You pay $75 a month for 9 months. Your
actual bills are: September, $28.95; October, $16.15; November,
$68.46; December, $109.34; January, $115.26; February. $94.19;
March $75.66; April, $51.97; and May, $49.16. Compute the
average for the 9 months.
ght The McGraw-e Companies, Inc. All rights
=$75.66 all in all and $67.99 dollars
Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
A: 66.67%
B: 7.14%
C: 4.76%
D: 14.29%
Answer: D: 14.29%
Step-by-step explanation:
Given: Total movies = 7
Categories: Comedy = 2, Action = 3 ,horror = 2
Probability that first one is horror = [tex]\dfrac{\text{Number of horror movies}}{\text{Total movies}}[/tex]
[tex]=\dfrac{2}{7}[/tex]
Remaining DVDs =6
Probability that first one is horror and the second one is action = [tex]\dfrac{2}{7}\times \dfrac{\text{Number of action movies}}{\text{remaining movies}}[/tex]
[tex]=\dfrac27\times\dfrac{3}{6}=\dfrac{1}{7}[/tex]
In percent, [tex]\dfrac{1}{7}\times100\%=14.29\%[/tex]
Hence, the correct option is D: 14.29% .
Here is a set of signed numbers: 7, -3, 1/2, -0.8, 0.8, -1/10, -2
Order the numbers from least to greatest.
first gets brainllest
Answer:
7, 0.8, 1/2, -0.8, -1/10, -2, -3,
Step-by-step explanation:
accidently put greatest to least just flip it i still want brainliest tho
Which shows another way to write 9.54?
O 0.5 + 0.04
O 9+ 0.4 + 0.05
O (9 * 1) + (5 x 0.1) + (4 x 0.01)
O (9 x 0.1) + (5 x 0.01) + (4 x 0.001)
Answer:
It would be C
Step-by-step explanation:
The regular price of a bathing suit is $89.99. Estimate the sale price of the 25 points
bathing suit at 70% off regular price.
$27.00
$82.99
$19.99
8.032×10^-4 in standard form
Answer:
0.0008032
Step-by-step explanation:
Hope this helps!
Answer:
80,320
Step-by-step explanation:
help with this immediately
Answer:
c
Step-by-step explanation:
%gggggyyhhttbu6gnmk8tg
G
Which fraction is equivalent to 6?
12 / 2
3
2 2+1 3
7, because
6 6+17
mo
2 1 1 3
because 6 - 3 and
39
2 /
3
12
2 1
because =
6 3 and
2
nd 3 -
3
12
2 1
8.
because 6 2
2+1 3
6+28
Answer:
what is the question
Step-by-step explanation:
i don't understand what you're trying to say
PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75
An investor wants to save money to purchase real estate. She buys an annuity with monthly payments that earn 5.6% interest, compounded monthly. Payments
will be made at the end of each month, Find the total value of the annuity in 16 years if each monthly payment is $65.
Do not round any intermediate computations, and round your final answer to the nearest cent
Answer:
1040
Step-by-step explanation:
just took 65 and mutiply 65$
Answer:
1040
Step-by-step explanation:
just took 65 and mutiply 65$
5 1/5- 1 3/4 fractions
Answer:
3 9/20
Step-by-step explanation:
first find a common demonator and change the denomators and what ever you did to the bottom you do to the top, then subtract them.
(5/6) 2 x (1 1/10) 2
Answer:
11/3x
your welcome
How is 5 represented in 6.75
Answer:
5 is in the hundreths place :))
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.
Please look at the pic and help it got marked wrong
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256
Pls Help :( 15 points
108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation please.
Answer:
(108-27)/3 =27
Each bus has 27 students, because 108-27=81, 81/3=27
Step-by-step explanation:
Hope this helps! <3
Your grandfather gave you $18 to buy a present. This covered 9/10 of the cost. How much did the present cost?
montha
28. The driving distance from Boston, MA,
to Colorado Springs, CO, and back again
is 4,084 miles. A salesperson has already
made the trip back and forth twice. A
salesperson may drive up to 12,500 miles
each month. Can she make the trip again
and remain below the monthly miles
allowed? If so, how many miles will she
have left for the month?
Tonic 2 Ilesson 3-8
Answer:
Step-by-step explanation:
Homework Weekend Create a short story.
Which two numbers have a product of −18 and a sum of −7?
Answer:
2 and -9
Step-by-step explanation:
2 times -9 is -18
2 plus -9 is -7
Hope this helped!
Kenya went to the convenience store to buy some candy bars for her friends. She spent a total of $6.00 on candy bars. Each candy bar cost $1.50.
How many candy bars did Kenya buy?
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18
Answer:
Step-by-step explanation:
Eight more than.twice an number is four less than the same number
Answer:
2x+8=x-4
Step-by-step explanation:
I think that's right, let me know if it's wrong and I'll delete
Which expression is equivalent to 8x - 12y + 32?
15 points!!!
Answer:
The third
Step-by-step explanation:
16( times) 0.5x= 8x
16 ( times) -0.75= -12y
16(times) 2= 32
The rest are either above or bellow the expression given.
Answer:
the answer is -0.75y+2)=8x
HELP WILL MARK BRAINLIEST
Answer:
(-3,-1)
Step-by-step explanation:
You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.
what is the value of x,if x=9-9/4
Answer:
X=6 3/4
Step-by-step explanation:
IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.