1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600.
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200.
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600.
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200.
3a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
3b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
3a. Sales commissions per unit is $1.30.
3a. The number of units sold is 14,000 units.
3a. Total sales commission is $18,200.
3a. Fixed portion of sales representatives’ compensation is $14,000.
3a. Total direct selling expense is $18,200.
3b. The total indirect selling expense is $14,000.
Data and Calculations:Relevant production range = 12,000 to 16,000 units
Production and sales units = 14,000 units
Average Cost
per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Direct cost per unit $13.40
Fixed manufacturing overhead $ 5.30
Total manufacturing cost per unit $18.70
Fixed selling expense $ 3.80 $53,200 ($3.80 x 14,000)
Fixed administrative expense $ 2.80 $39,200 ($2.80 x 14,000)
Total fixed costs per unit $6.60 $92,400 ($6.60 x 14,000)
Variable selling and admin:
Sales commissions $ 1.30
Variable administrative expense $ 0.80
Total variable selling and admin per unit = $2.10
1a) The total direct manufacturing cost incurred to make 14,000 units is $187,600 ($13.40 x 14,000).
1b) The total indirect manufacturing cost incurred to make 14,000 units is $74,200 ($5.30 x 14,000).
2a) The total manufacturing cost directly traceable to the Manufacturing Department is $187,600 ($13.40 x 14,000).
2b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department is $74,200 ($5.30 x 14,000).
3) Fixed selling expenses = $53,200 ($3.80 x 14,000)
Advertising expenses = $39,200
Sales Compensation = $14,000 ($53,200 - $39,200)
Sales Commission = $18,200 ($1.30 x 14,000)
Total Salespersons' compensation = $32,200
a) When the company sells 14,000 units, the total direct selling expense, which can be readily traced to individual sales representatives, is $18,200.
b) When the company sells 14,000 units, the total indirect selling expense, which cannot be readily traced to individual sales representatives, is $14,000.
4a) The total manufacturing cost directly traceable to the Manufacturing Department per unit is $13.40.
4b) The total manufacturing cost, which is an indirect cost, that cannot be easily traced to the Manufacturing Department per unit is $5.30.
3a. Sales commissions per unit is $1.30.
3a. The number of units sold is 14,000 units.
3a. Total sales commission is $18,200 (14,000 x $1.30)
3a. Fixed portion of sales representatives’ compensation is $14,000.
3a. Total direct selling expense is $18,200.
3b. The total indirect selling expense is $14,000.
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please help! need asap
Answer:
Given as at the end of the proof flowchart we are only left with one unknown m∠3, the logical conclusion is that we're proving that m∠3 = 180° - 54° = 126°
what is the answer ???
Help, please
Simplify:
Answer:
will be 1
Step-by-step explanation:
..............
Answer:1
Step-by-step explanation:
Which expression has the same value as -73 +3/?
The expression come -70
given;
In mathematics, multiplication can be represented by using the symbol × or the symbol ·. Moreover, multiplication can be also represented just by leaving the numbers or values side by side without any symbol. For example, the expression 5x + y implies 5 should be multiplied by x. In this context, the expression indicates -73 + 3
it means ; the number 73 substract from 3 and we get - 70.
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When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
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What are the coordinates of the point on the directed line segment from (−5,8)(−5,8) to (−1,−8) (−1,−8) that partitions the segment into a ratio of 3 to 1?
The coordinates of the point on the directed line segment is (-2, 4)
How to determine the coordinates of the point on the directed line segment?The points are given as
(-5, 8) and (-1, -8)
The ratio is given as
m : n = 3 : 1
The coordinates of the point are calculated as
Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have
Point = 1/(3+ 1) * (3 * -1 + 1 * -5, 3 * -8 + 1 * 8)
Evaluate
Point = 1/4 * (-8, 16)
So, we have
Point = (-2, 4)
Hence, the coordinates of the point on the directed line segment is (-2, 4)
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Given that set A has 73 elements and set B has 29 elements, determine the maximum possible number of elements in A ∩ B
a solid is 5.0cm tall, 3.0cm wide and 2.0cm thick. it has a mass of 387g. What is the density?
Answer: 12.9
Step-by-step explanation:
5 x 3 x 2= 30
5 x 3= 15
15 x 2= 30
D= M/V -> Try to remember the DMV
387 / 30= 12.9
30 x 10= 300
30 x 2= 60
30 x 1= 30
30 x .9= 27
10 + 2 + .9= 12.9
300 + 60 + 27= 387
17 + 2 × 9 ÷ 3 + 4 × 6 ÷ 8
Answer: 26
Step-by-step explanation:
17 + 2 × 9 ÷ 3 + 4 × 6 ÷ 8=
17 + (2 × 9 ÷ 3) + (4 × 6 ÷ 8)= ==> multiplication and division come before addition
17 + (18 ÷ 3) + (24 ÷ 8)=
17 + 6 + 3=
23+3=26
Solve for x can you help set up the problem for me to solve for x I have tried everything
As per the alternate angle property, alternate angles are equal hence, is x = 7.
What is the alternate angle property?
The alternate angle theorem states that when two resemblant lines are cut by a transversal, also the performing alternate interior angles or alternate surface angles are harmonious. To prove If two resemblant lines are cut by a transversal, also the alternate innards angles are equal. The Alternate Exterior Angles Theorem states that, when two resemblant lines are cut by a transversal, the performing alternate surface angles are harmonious. Then, the two angles of c and d are outside of the resemblant lines and so these are two exemplifications of alternate surface angles.Equating the alternate angles,
11x-2=10x+5,
11x - 10x = 5 + 2
x = 7
Since, as per the alternate angle property, alternate angles are equal.
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What is the measurement of the angle shown below?
Answer:
the answer is 150°
Step-by-step explanation:
because the angle is obtuse angle so obtuse angle measures between 90° and 180° so the rest choices are not correct.
When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive
by combining partial samples of different blood specimens. If samples from four people are combined and the
mixture tests negative, we know that all four individual samples are negative. Find the probability of a
positive result for four samples combined into one mixture, assuming the probability of an individual blood
sample testing positive for the virus is 0.09
Answer:
0.246
Step-by-step explanation:
p(virus) = 0.09
= 1-p(none test positive)
=1-(1-0.09)^3
=1-0.91^3
=0.246
Can I get helped with the following attachment
Maybe someone can give you answer if you also include the data table for them to calculate
William has $25 to buy strings for his guitar. Each set of strings costs $9.
How many sets of strings can he buy? Do not include units in your answer.
Answer:
He can buy 2 full sets
Step-by-step explanation:
$25 divided by $9 per set is 2.8 sets. Assuming sets are only sold as whole packages that would be 2 full sets.
Q1: What is the inverse of the statement?
If you have read many books, then you have learned many words.
A) If you have learned many words, then you have read many books.
B) If you have read many books, then you have learned many words.
C) If you haven't learned many words, then you haven't read many books.
D) If you haven't read many books, then you haven't learned many words.
Q2: The given figure is a rectangular prism.
Which edges are parallel to QP¯¯¯¯¯ ?
Select all answers that are correct.
A) TR¯¯¯¯¯ (Maybe this?)
segment T R
B) PH¯¯¯¯¯¯
segment P H
C) QT¯¯¯¯¯
segment Q T
D) JA¯¯¯¯¯ (And this?)
segment J A
Answer: The answer for #2 is JA and TR I took the test:)
Step-by-step explanation:
Q1 option D is the correct answer: The inverse of the statement, If you have read many books, then you have learned many words, is If you haven't read many books, then you haven't learned many words.
Q2 Edges parallel to QP are
option Aoption DWhat is inverse of a statement?The inverse of a statement refers to a statement that has opposite to the original statement to which the inverse is required. For example:
the statement: John is coming
inverse of the statement: John is not coming
How to get parallel edgesThe edge refers to a side of the prism while parallel refers to a property of line that implies that the edges are equally spaced apart and will never intersect.
The diagram for Q2 is attached
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i need help with 23-26 help please
2.5, 0.92, 0.75, 0.925
Suppose you transform a square corn field by increasing one side by 2 units and decreasing the other side by 3 units. If the area of the resulting corn field equals 24, what was the length of the original corn field?
Answer:
8 and 3 are the length and the width
Step-by-step explanation:
3
Are these a function or not? Then state the domain and range.
Answer:
B. Not a function; does not pass the vertical line test
C. Is a function; does pass vertical line test
Domain of B: -3 to 1
Range of B: -1 to 4.5
Domain of C: -3 to 6
Range of C: -4 to 2
Step-by-step explanation:
What is vertical line test?
Vertical line test is when you draw vertical lines (up and down) on the line. If two points are on one line, that means it is not a function. B has a lot of lines that have the same X so that is why it is not a function.
What is domain and range? Domain is the x values and Range is the Y values. So you will want to put the numbers between where the y starts and stop.
solve the quadratic formula simpliest set for y^2-7y-9=0
Solve for x:
-12 = 1/2(6x - 12)
Answer:
x = -2
Step-by-step explanation:
-12 = 1/2(6x - 12) Multiply everything inside the parentheses by 1/2
-12 =1/2(6x) - (1/2)(12)
-12 = 3x - 6 Add 6 to both sides of the equation
-6 = 3x Divide both sides by 3
-2 = x
Check:
Plug -2 in for x and see if statement is true
-12 = 1/2(6x - 12)
-12 = 1/2[(6)(-2) - 12] Simplify inside the brackets
-12 = 1/2(-12 -12)
-12 = 1/2 (-24)
-12 = -12
if a horizontal straight line is on a graph is it proportional or no proportional
pls ASAP
How many degrees is the angle marked X?
Answer:
the angle marked X is 60 degree
jack graphs how far he plans ton bike over a 3-day charity ride find the slope of the line
The slope of the line for 3-day charity ride is 30.
What is referred as the slope of the straight line?The slope of a straight line indicates the steepness of its inclination. It is also known as the gradient.
The greater the slope of a line, the steeper it is.The slope of a line remains constant throughout its length, ensuring that the line is straight.A line can be thought of as the hypotenuse of such a right-angled triangle.A slope measurement is calculated by comparing its vertical and horizontal components.The formula for the slope is;
slope = m = Δy/Δx
m = (y₂ - y₁)/(x₂ - x₁)
The given coordinators of the points (taken from Jack's graph are);
(x₁, y₁) = (2, 60)
(x₂, y₂) = (3, 90)
Put the values in the formula;
m = (90 - 60)/(3 - 2)
m = 30
Therefore, the slope of the straight line for the 3-day charity ride is 30.
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One person earns $58,000 per year. Another person earns $3450 per month.
How much more does the first person earn in a year than the second?
The first person earns $ more than the second person in one year.
Answer:
There are 12 months per year so:
58000 - 12(3450) = $________ more
Just plug into calculator or otherwise
work the arithmetic.
Hope this helps.
Evaluate and leave your answer in simplest form
(-4/3) (5/12) (9/10) step-by-step
please answer 8,9,10 show work
Answer:
8. HI = 25 cm
9. HJ = 27.5 cm
10. IK = 5.5 cm
Step-by-step explanation:
Given segments JK=3 cm and IJ=2.5 cm of 30.5 cm length HK having points H, I, J, K in sequence, you want to find missing segment lengths.
Segment sum theoremThe segment sum theorem tells you the length of a line segment is the sum of the lengths that make it up. That means ...
HI +IJ +JK = HK
This lets you find the lengths of the various segments without concerning yourself with the value of x.
8. HIUsing the given lengths in the above sum, we have ...
HI +2.5 +3 = 30.5
HI = 30.5 -5.5 = 25
The length of HI is 25 cm.
9. HJThe overall length is the sum of its parts:
HI +IJ = HJ
25 +2.5 = 27.5 = HJ
The length of HJ is 27.5 cm.
10. IKThe overall length is the sum of its parts:
IJ +JK = IK
2.5 +3 = 5.5 = IK
The length of IK is 5.5 cm.
__
Additional comment
In case you actually want to find x, you can find it from ...
HI = 3x +4
25 = 3x +4
21 = 3x . . . . . . subtract 4
7 = x . . . . . . . divide by 3.
In this set of problems, the only use of x is to find the value of 3x+4, which you have already seen is 25.
PLS HELP ASAP
(50 POINTS)
What is the range of the relation {(1, 2), (2, 4), (3, 2), (4, 6)}?
A) {2,4}
B) {1, 2, 3, 4)
C) {2, 4, 6}
D) {1, 2, 3, 4, 6}
Answer:
a
Step-by-step explanation:
the answer is a
Answer:
C
Step-by-step explanation:
What is the quotient of 5/6 + 2/7?
Answer:
Step-by-step explanation:
this app is helpful
PLEASE LIST THEM I NEED HELP!
Answer:
{(1,0),(3,0),(0,-3),(-3,0),(-4,-4)}
Step-by-step explanation:
This is all I could get from the cropped out picture.
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
Find the critical points of [tex]f_1[/tex] and [tex]f_2[/tex].
By the fundamental theorem of calculus,
[tex]{f_1}'(x) = \displaystyle \prod_{j=1}^{21} (x-j)^j = (x-1) (x-2)^2 (x-3)^3 \cdots (x-21)^{21}[/tex]
and [tex]{f_1}'=0[/tex] for [tex]x\in\{1,2,3,\ldots,21\}[/tex]. The stationary points at odd values have odd multiplicity, while the even ones have even multiplicity. At the points of odd multiplicity, [tex]{f_1}'[/tex] passes through the [tex]x[/tex]-axis and the sign of [tex]{f_1}'[/tex] changes, while at the points of even multiplicity, [tex]{f_1}'[/tex] is tangent the to [tex]x[/tex]-axis. We also have
[tex]\displaystyle \lim_{x\to-\infty} {f_1}'(x) = (-1)^{1+3+5+\cdots+21} \infty = (-1)^{11^2} \infty = -\infty[/tex]
[tex]\displaystyle \lim_{x\to\infty} {f_1}'(x) = \infty[/tex]
so the plot of [tex]{f_1}'[/tex] looks more or less like the attached curve. (Not drawn to scale)
Wherever the sign of [tex]{f_1}'[/tex] changes from negative to positive, as it does in the case of [tex]x\in\{1,5,9,13,17,21\}[/tex], there is a local minimum, so [tex]m_1 = 6[/tex]. Similarly, wherever the sign changes from negative to positive, as it does when [tex]x\in\{3,7,11,15,19\}[/tex], there is a local maximum, so [tex]n_1 = 5[/tex].
Repeat for [tex]f_2[/tex].
[tex]{f_2}'(x) = 4900 (x-1)^{49} - 29400 (x-1)^{48} = 4900 (x-1)^{48} (x-7)[/tex]
has roots at [tex]x=1[/tex] and [tex]x=7[/tex], but only the latter is a critical point due to odd multiplicity. A rough sketch of the plot of [tex]{f_2}'[/tex] is also attached. The sign of [tex]{f_2}'[/tex] changes from negative to positive at [tex]x=7[/tex], so [tex]m_2 = 1[/tex] and [tex]n_2=0[/tex].
We conclude that
Q.9) [tex]2m_1+3n_1+m_1n_1 = \boxed{57}[/tex]
Q.10) [tex]6m_2+4n_2+8m_2n_2 = \boxed{6}[/tex]
Determine the intercepts of the line. Do not round your answers. y − 6 = 4 ( x + 5 )
Answer:
x = (- [tex]\frac{13}{2}[/tex], 0)
y = (0,26)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
