Junk Food Central Inc sells 50-pound boxes of donuts wholesale to warehouse clubs for $10/box. The fixed costs of this operation are $80,000, while the variable costs of donuts are $.10/pound.
1.) Calculate the profit or loss on 12,000 boxes and 25,000 boxes.
2.) If Junk Food Central has an annual interest expense of $10,000, calculate the degree of financial leverage at both 20,000 and 25,000 boxes.
3.) What is the degree of combined leverage at both sales levels?
Answers
(1) The junk Food Central Inc will incur a loss of $20,000 if they sell 12,000 boxes and a profit of $45,000 if they sell 25,000 boxes.
(2) At 20,000 boxes, the degree of financial leverage is 2, and at 25,000 boxes, it is 1.3.
(3) The degree of combined leverage at 20,000 boxes is 20 and the degree of combined leverage at 25,000 boxes is 7.2.
What is the profit/loss on the boxes?To calculate the profit or loss on 12,000 boxes, we need to first calculate the total cost of producing these boxes:
Variable cost per box = 50 lbs/box x $0.10/lb = $5/box
Total variable cost = $5/box x 12,000 boxes = $60,000
Total cost = Fixed cost + Total variable cost = $80,000 + $60,000 = $140,000
Revenue = 12,000 boxes x $10/box = $120,000
Profit/Loss = Revenue - Total cost = $120,000 - $140,000 = -$20,000
(negative sign indicates loss)
To calculate the profit or loss on 25,000 boxes, we can use the same formula:
Variable cost per box = 50 lbs/box x $0.10/lb = $5/box
Total variable cost = $5/box x 25,000 boxes = $125,000
Total cost = Fixed cost + Total variable cost = $80,000 + $125,000 = $205,000
Revenue = 25,000 boxes x $10/box = $250,000
Profit/Loss = Revenue - Total cost = $250,000 - $205,000 = $45,000
The degree of financial leverage is a measure of how sensitive a company's earnings per share (EPS) are to changes in its earnings before interest and taxes (EBIT).
It is calculated as follows:
Degree of financial leverage = EBIT / (EBIT - Interest expense)
At 20,000 boxes, the EBIT is:
Revenue = 20,000 boxes x $10/box = $200,000
Variable cost = $5/box x 20,000 boxes = $100,000
Fixed cost = $80,000
EBIT = Revenue - Variable cost - Fixed cost = $200,000 - $100,000 - $80,000 = $20,000
Degree of financial leverage = $20,000 / ($20,000 - $10,000) = 2
At 25,000 boxes, the EBIT is:
Revenue = 25,000 boxes x $10/box = $250,000
Variable cost = $5/box x 25,000 boxes = $125,000
Fixed cost = $80,000
EBIT = Revenue - Variable cost - Fixed cost = $250,000 - $125,000 - $80,000 = $45,000
Degree of financial leverage = $45,000 / ($45,000 - $10,000) = 1.3
The degree of combined leverage (DCL) is a measure of the sensitivity of a company's EPS to changes in its sales. It is calculated as follows:
DCL = Degree of operating leverage x Degree of financial leverage
The degree of operating leverage (DOL) is a measure of how sensitive a company's EBIT is to changes in its sales. It is calculated as follows:
DOL = Revenue / (Revenue - Variable cost - Fixed cost)
At 20,000 boxes:
DOL = $200,000 / ($200,000 - $100,000 - $80,000) = 10
DCL = 10 x 2 = 20
To calculate the DOL and DCL at 25,000 boxes, we can use the same formula:
DOL = Revenue / (Revenue - Variable cost - Fixed cost)
At 25,000 boxes:
DOL = $250,000 / ($250,000 - $125,000 - $80,000) = 5.55
DCL = 5.55 x 1.3 = 7.2
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Related Questions
Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Answers
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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Fill in the blank to make the expression a perfect square?Y^2 - 2y + blank
Answers
We need to find a perfect square from the expression
\(y^2-2y\)In this regard, we can note that
\((y-1)^2=y^2-2y+1\)Then, by comparing this result with our expression, we can see that the blank space is 1 because
\(y^2-2y+1=\left(y-1\right)^2\)Therefore, the answer is:
Solve for y.
−2y+5=−11
Responses
y = 8
y, = 8
y = 3
y, = 3
y=−3
y equals negative 3
y=−8
Answers
Answer:
8
Step-by-step explanation:
bResponses
y = 8
y, = 8
y = 3
y, = 3
y=−3
Write the equation of this circle in standard form
Answers
Answer:
c
Step-by-step explanation:
because if you solve the problem it is equal to c
An analyst came up with the following relationships for a problem in his company. Which relationships are valid for a linear program, and which are not? Explain why or why not for each.
Max 4x + 3 XY
s. t. 2x + Y<50
X-4Y >6
1.5 X2 + 6Y > 21
- X + Y = 5
5X +3underroot7 380
X, Y>0
Answers
Answer:
- X + Y = 5
Step-by-step explanation:
Linear function is:
y= mx+b or ax+bx+c= 0
Only option from the listed matching the above condition:
- X + Y = 5==============
Max 4x + 3 XY - not a linear function
s. t. 2x + Y<50 - inequality
X-4Y >6 - inequality
1.5 X2 + 6Y > 21 - inequality, quadratic
- X + Y = 5 - yes
5X +3underroot7 380 - not a linear function
X, Y>0
ohn works Monday to Friday. He buys his lunch on his way to work. Each day John buys a sandwich, a bottle of water and a bag of crisps. John thinks he will save more than £7.50 a week if he buys his lunch each day from shop B instead of shop A. Is John correct? You must show your working.. Single line text.
(4 Points)

Answers
Answer:
papta nahi osa kuch kahta Bahar Holi to
What is the surface area of the composite solid?
6 m
6 m
8 m
8 m
25 m
10 m
15m
Answers
Sorry I don't know if I did well I'm in 3rd grade but that's bn because my sister loat 10I hope you find it useful. have a good day ❤️
The surface area of the composite solid is the combination of the triangular prism and rectangular prism. Then the surface area of the composite solid is 1658 square meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The surface area of the composite solid is the combination of the triangular prism and rectangular prism.
Surface area = surface area of rectangular prism + triangular prism
The surface area of the rectangular prism will be
\(\rm Surface \ area = 2(25 \times 10 + 25 \times 15) + 10 \times 15\\\\Surface \ area = 1250+150\\\\Surface \ area = 1400\)
The surface area of the triangular prism will be
\(\rm Surface \ area = 2 \times \dfrac{1}{2} \times 6 \times 8 + 15\times 8+15\times 6\\\\Surface \ area = 48+210\\\\Surface \ area = 258\)
Then the area of the composite solid will be
Surface area of the composite solid = 1400 + 258
Surface area of the composite solid = 1658 square meters
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hi please help!!!!!!!!
Answers
Answer:
All real numbers
Step-by-step explanation:
The parabola is expanding infinitely in both the negative and positive directions. So the x value will be all real numbers.
Find the equation of the line through (-4,6) that is parallel to the line y=-5x+2
Answers
Answer:
The equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:
\(y=-5x-14\)
Step-by-step explanation:
We know that the slope-intercept form is
\(y=mx+b\)
Where m is the slope and b is the y-intercept
Given the equation
\(y=-5x+2\)
comparing with the slope-intercept form
slope = m = -5
y-intercept = b = 2
We know that the parallel lines have the same slopes.
so , the slope of the parallel line will be: -5
Thus, the equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:
\(y-y_1=m\left(x-x_1\right)\)
\(y-6 = -5(x-(-4)\)
\(y-6 = -5 (x+4)\)
\(y-6 = -5x-20\)
\(y=-5x+6-20\)
\(y=-5x-14\)
Answer:
y=-x+2
Step-by-step explanation:
i already did it and your welcome in advance
A nonlinear function Group of answer choices is a function with a slope that is not constant. is a concept that only applies to the case of a single or two explanatory variables since you cannot draw a line in four dimensions. makes little sense, because variables in the real world are related linearly. can be adequately described by a straight line between the dependent variable and one of the explanatory variables.
Answers
Answer:
is a function with a slope that is not constant.
Step-by-step explanation:
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and its slope is always constant.
On the other hand, nonlinear function has a negative relationship and as such an increase in one variable (input variable) causes a decrease in the other variable (output variable) i.e the variables are inversely proportional.
This ultimately implies that, the graph of a nonlinear is a curved line and whose direction is constantly changing.
Hence, a nonlinear function is a function with a slope that is not constant. An example of a nonlinear function is a quadratic function or equation.
Help pls
Stuck on this question
Answers
Answer:
x = 35
Step-by-step explanation:
since the figures are similar then the ratios of corresponding parts are in proportion, that is
\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )
2x = 7 × 10 = 70 ( divide both sides by 2 )
x = 35
A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any point is proportional to its distance from the origin, where the proportionality constant is 3.
Answers
Answer: Mass of Lamina is (K/3)
Centre of mass is (3/8, 3pi/16)
Step-by-step explanation:
Find explanation in the attachments
A table of values of a linear function is shown below. Find the output when the input is n.
Answers
Answer:
Step-by-step explanation:
output = y
input = x
y=-2x + 3
if you follow the pattern, the next input is 5 which will output -7
Please help with this math question!
Answers
Answer:
\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)
A painter mixed 1/4 quart of red paint with 3/4 blue paint to make purple paint. How much purple paint did the painter make?
Answers
Answer:
1 quart
Step-by-step explanation:
1/4 + 3/4 = 1; add the numerators and make sure the denominators are the same
Answer: 1 whole cup: 3/4 +1/4
A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
The width
Answers
Answer: The length is 510 and the width is 110.
Step-by-step explanation:
To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because a rectangle have 4 sides. Two widths and two lengths.
You can now use the formula P= 2l + 2w
were P is the perimeter , l is the length, and w is the width.
the length is 400 more than the width, so we can represent that by the equation, l = w + 400
And now we know that the width is w.
So now we will input the perimeter, length, and into the formula to solve for w.
1240 = 2(w + 400) + 2w
1240 = 2w + 800 + 2w
1240 = 4w + 800
-800 -800
440 = 4w
w = 110
L= 110 + 400
L = 510
Check :
1240 = 2(510) + 2(110)
1240 = 1020 + 220
1240 = 1240
3 lawns in 9 hours.what was the rate of mowing in hours per lawn
Answers
Answer:
3
Step-by-step explanation:
3 = 9 \:th \\ 1 = 3 \\ 3 \times 3 = 9 \\ 9 \div 3 = 3 \\ so \: that \: answer \: is \: 3
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answers
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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PLEASE HELP DUE SOON! PLEASE SHOW WORK SO I KNOW HOW TO IT FOR NEXT TIME! IM STUCK ON THIS AND ITS DUE TODAY!!!!! YOU WILL GETT 100 POINTS REAL ANSWERS ONLY! MANY THANKS! QUESTIONS DOWN BELOW!!!!!
Answers
Answer:
a) zero triangles.
b) one triangle.
Step-by-step explanation:
In triangle ABC:
A, B and C are the interior angles.a, b and c are the sides opposite the corresponding interior angles.Part (a)Given:
∠A = 51°a = 10 cmb = 28 cmLaw of Sines
\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle B:
\(\implies \sf \dfrac{\sin 51^{\circ}}{10}=\dfrac{\sin B}{28}\)
\(\implies \sf \sin B=\dfrac{28\sin 51^{\circ}}{10}\)
\(\implies \sf \sin B=2.176008...\)
As -1 ≤ sin B ≤ 1, there is no solution for angle B.
Therefore, zero triangles are possible.
----------------------------------------------------------------------------------
Part (b)Given:
∠C = 30°a = 24 cmc = 12 cmLaw of Sines
\(\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}\)
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
To determine if any triangles are possible, substitute the given values into the Law of Sines to find angle A:
\(\implies \sf \dfrac{\sin A}{24}=\dfrac{\sin 30^{\circ}}{12}\)
\(\implies \sf \sin A=\dfrac{24\sin 30^{\circ}}{12}\)
\(\implies \sf \sin A=1\)
\(\implies \sf A=\sin^{-1}(1)\)
\(\implies \sf A=90^{\circ}\)
Therefore, one triangle is possible (see attachment).
3/7 of which is 2 1/14
Answers
Answer:
Let the number be x
The statement is written as
\( \frac{3}{7}x = \frac{29}{14} \)
Multiply through by 14
That's
\( 14 \times \frac{3}{7} x = \frac{29}{14} \times 14\)
We get
2 × 3x = 29
6x = 29
Divide both sides by 6
That's
\( \frac{6x}{6} = \frac{29}{6} \)
\(x \: = \frac{29}{6} \: \: or \\ 4 \frac{5}{6} \)
Hope this helps you
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answers
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
what is the area of the shaded region ?
Answers
Answer: The area is 8 it litterally tells you there
Step-by-step explanation:
Chose the equation for a line that passes through (2,-3) and has a slope of m=-4 in point slope form. A y - 3 = -4(2-2) By - 2 = -3(3+4) Cy+2 = -4(2+3) Dy+3 = -4(1-2)
Answers
Answer:
Slope-intercept form: y = -4x + 5
Point-slope form: y + 3 = -4 (x - 2)
Step-by-step explanation:
Use the elimination method to solve this system. − 4 x − 2 y = − 12, 4 x + 8 y = − 24
Answers
Answer:
x = 6; y = -6
Step-by-step explanation:
-4x - 2y = -12
4x + 8y = -24
Add the two equations, so x is eliminated:
6y = -36
6y/6 = -36/6
y = -6
Plug in y, to solve for x
-4x - 2y = -12
-4x - 2(-6) = -12
-4x +12 = -12
-4x = -12 -12
-4x = -24
-4x/-4 = -24/-4
x = 6
Answer from Gauthmath
Help please. It’s base times height.
Answers
Answer:
Pretty sure it's 99.
Answer:
11×9=99
99in³ is the area of the parallelogram
one angle of parallelogram measures 140. What are the measures of the other three angles in the parallelogram?
Answers
According to the provided statement, the parallelogram's other three angles' measurements are 40°,140°,40°
Trapezoid or parallelogram: which is it?It is impossible for a trapezoid to be a parallelogram. Whereas a parallelogram has two sets of parallel sides, a trapezoid only has one pair. An object with two pairs of two edges is referred to as a parallelogram. All rhombuses are parallelograms because their opposite sides are all the same length.
A parallelogram's sum of neighboring angles is 180°.
So,
140+ x° = 180°
x=40°
In a parallelogram, the opposing angles are equal.
So, if a parallelogram, the angles are
140°,40°,140°,40°
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Music students and art students at a middle school were surveyed to choose a cardiovascular activity: playing sports or dancing.
Do you prefer dancing or playing sports?
Playing sports Dancing Row totals
Music students 32 15 47
Art students 31 22 53
Column totals 63 37 100
What is the marginal frequency of students who chose dancing?
15
22
37
53
Answers
The marginal frequency of students who chose dancing is 37.
The correct answer to the given question is option 3.
The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.
Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.
It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.
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Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why ALMNOPQ?
Check all that apply.
M
AA
A. HL
B. SAS
C. AAS
D. ASA
E. LA
F. LL
Answers
Answer:
It has been a while. I think it is ASA and AAS
The triangles ΔLMN and ΔOPQ are congruent triangles by the ASA and AAS postulates
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔLMN
Let the second triangle be represented as ΔOPQ
Now , the measure of ∠MNL = 90°
The measure of ∠PQO = 90°
And , the measure of side MN = measure of side PQ
And , the measure of ∠MLN = measure of ∠POQ
So , the two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Therefore , the triangles are congruent by AAS and ASA theorems
Hence , the ΔLMN and ΔOPQ are congruent triangles
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What is the area of the polygon given below?
A. 55 square units
B. 186 square units
C. 131 square units
D. 66 square units
Answers
Answer:
○ B. \(\displaystyle 186\:square\:units\)
Explanation:
All edges conjoin to form right angles, therefore you have these:
\(\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7\)
OR
\(\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11\)
I am joyous to assist you at any time.
please help its says solve 7 3/4 + 2/4 then it says Reduce all fractions to their lowest terms. 12 5/4 12 1/4 11 5/4 11 6/4 11 1/4
Answers
Answer:
8 1/4 or 33/4
Step-by-step explanation:
7 3/4=31/4
31/4+2/4=33/4