1. a. The Total direct manufacturing cost is $212,350. b. The Total indirect manufacturing cost is -$128,650. 2. a. the total manufacturing cost directly traceable to the Manufacturing Department is $212,350. b. the total manufacturing cost that is an indirect cost is $83,700. 3. a. the total direct selling expense that can be readily traced to individual sales representatives is $21,700. b. the total indirect selling expense that cannot be readily traced to individual sales representatives is $38,750.
1. Assume the cost object is units of production:
a. The total direct manufacturing cost incurred to make 15,500 units can be calculated by multiplying the average cost per unit for each cost component by the number of units produced:
Total direct manufacturing cost = (Direct materials cost + Direct labor cost + Variable manufacturing overhead cost) × Number of units produced
Direct materials cost = $7.40/unit × 15,500 units = $114,700
Direct labor cost = $4.40/unit × 15,500 units = $68,200
Variable manufacturing overhead cost = $1.90/unit × 15,500 units = $29,450
Total direct manufacturing cost = ($114,700 + $68,200 + $29,450) = $212,350
b. The total indirect manufacturing cost incurred to make 15,500 units can be calculated by subtracting the total direct manufacturing cost from the average cost per unit for fixed manufacturing overhead:
Total indirect manufacturing cost = Fixed manufacturing overhead cost × Number of units produced
Fixed manufacturing overhead cost = $5.40/unit × 15,500 units = $83,700
Total indirect manufacturing cost = $83,700 - $212,350 = -$128,650
Note: The negative value indicates that the fixed manufacturing overhead cost is not fully utilized within the relevant range of production. It suggests that there may be unused capacity or fixed costs that are not being allocated to the production of 15,500 units.
2. Assume the cost object is the Manufacturing Department and that its total output is 15,500 units:
a. The total manufacturing cost directly traceable to the Manufacturing Department is the sum of the direct manufacturing costs:
Total manufacturing cost directly traceable to the Manufacturing Department = Total direct manufacturing cost
Using the values calculated in part 1a, the total manufacturing cost directly traceable to the Manufacturing Department is $212,350.
b. The total manufacturing cost that is an indirect cost and cannot be easily traced to the Manufacturing Department is the fixed manufacturing overhead cost:
Total manufacturing cost that is an indirect cost = Fixed manufacturing overhead cost
Using the value calculated in part 1b, the total manufacturing cost that is an indirect cost is $83,700.
3. Assume the cost object is the company's various sales representatives. Furthermore, assume that the company spent $44,950 of its total fixed selling expense on advertising, and the remainder of the total fixed selling expense comprised the fixed portion of the company's sales representatives' compensation:
a. When the company sells 15,500 units, the total direct selling expense that can be readily traced to individual sales representatives is the sales commissions:
Total direct selling expense = Sales commissions × Number of units sold
Sales commissions = $1.40/unit × 15,500 units = $21,700
Therefore, the total direct selling expense that can be readily traced to individual sales representatives is $21,700.
b. When the company sells 15,500 units, the total indirect selling expense that cannot be readily traced to individual sales representatives is the fixed portion of the company's sales representatives' compensation:
Total indirect selling expense = Total fixed selling expense - Total direct selling expense
Total fixed selling expense = $3.90/unit × 15,500 units = $60,450
Total indirect selling expense = $60,450 - $21,700 = $38,750
Therefore, the total indirect selling expense that cannot be readily traced to individual sales representatives is $38,750.
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Click on the number until you find the right quotient.12x^a y^b divided by (-6x^a y)-2y^b-1
During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 1212 groups, rounded to the nearest 1 2 mL 2 1 mLstart fraction, 1, divided by, 2, end fraction, start text, space, m, L, end text. 4 4 4 1 2 4 2 1 5 5 5 1 2 5 2 1 6 6 6 1 2 6 2 1 7 7 7 1 2 7 2 1 8 8 A line plot labeled 4 to 8 with tick marks every one-half unit labeled with a tick mark and number. Above tick mark four and one-half there is a column of two dots. Above tick mark 5 there is a column of three dots. Above tick mark six and one-half there is a column of two dots. Above tick mark 7, there is a column of two dots. Above tick mark seven and one-half, there is a column of three dots. What is the total amount of vinegar, in milliliters, used by the 3 33 groups that used the most? mL mL
Answer:
22 1/2
Step-by-step explanation:
Find the measurement
Answer:
RS = 2.4 cm
Step-by-step explanation:
RS + ST = RT
RS + 1.6 = 4
Subtract 1.6 from both sides.
RS = 4 - 1.6
RS = 2.4 cm
A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle
Answer:
The area is 15 feet
Step-by-step explanation:
So you are going to need two different equations-
l = w(3)
2l + 2w = 40
Insert the first equation into the second-
2(3w) + 2w = 40
Simplify this equation-
6w + 2w = 40
8w = 40
Divide both sides by 5
w = 5
Solve first equation
l = 5(3)
l = 15
Then find the area-
5 x 15 = 75
Where do I plot the graph coordinates
Step-by-step explanation:
So... where it says Y=4x-1, take the 4x and plot it on the y axis, next on the equation it says -1, plot -1 on the left ( X-axis)
I hope this helps
Candace deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. about how long will it take for the account to be worth $5,000?
Answer:
Solution in photo
Step-by-step explanation:
Find functions f(x) and g(x) so the given function can be expressed as
h(x) = f(g(x)).
(Use non-identity functions for
f(x) and g(x).)
h(x) = 5/x-4
Answer:
\(f(x) = \frac{5}{x}\)
\(g(x) = x - 4\)
Step-by-step explanation:
Composite function:
\(h(x) = f(g(x)) = (f \circ g)(x)\)
h(x) = 5/x-4
We have x on the denominator and not the numerator, so the outer function is given by:
\(f(x) = \frac{5}{x}\)
The denominator is x - 4, so this is the inner function, so:
\(g(x) = x - 4\)
Which of these is something you can pay for with the money in a savings account?
The rat population in major metropolitan city is given by the formula n(t)=89e^0.02t where t is measured in years since 1991 and n(t) is measured in millions. What does the model predict the rat population was in the year 2007?
Answer:
122.6 million
Step-by-step explanation:
Figure the value of t, then put that into the formula and do the arithmetic.
t = 2007 =1991 = 16
n(16) = 89e^(0.02·16) = 89·e^0.32 ≈ 122.6
The model predicts a rat population of 122.6 million in 2007.
what is the meaning of sequence in mathematic and
Answer:
A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.
Step-by-step explanation:
Need help with this question
Answer:
8.65
Step-by-step explanation:
its asking you how many miles was there before the plane decreased so just add 1.8 to 6.85 which gives you the answer 8.65
Hope I helped!!!
Brett and Margo have each thought about murdering their rich Uncle Basil in hopes of claiming their inheritance a bit early. Hoping to take advantage of Basil’s predilection for immoderate desserts, Brett has put rat poison into the cherries flamb´ e; Margo, unaware of Brett’s activities, has laced the chocolate mousse with cyanide. Given the amounts likely to be eaten, the probability of the rat poison being fatal is 0.60; the cyanide, 0.90. Based on other dinners where Basil was presented with the same dessert options, we can assume that he has a 50% chance of asking for the cherries flambe, a 40% chance of ordering the chocolate mousse, and a 10% chance of skipping dessert altogether. No sooner arc the dishes cleared away than Basil drops dead. In the absence of any other evidence, who should be considered the prime suspect?
Answer:
Step-by-step explanation:
The probability of asking for the cherries flambe and dying, P(A) = 0.5 × 0.6 = 0.3
The probability of asking for the chocolate mousse and dying, P(A) = 0.4 × 0.9 = 0.36
The probability of skipping dessert altogether = 0.1 × 0 = 0
The probability that the rich uncle dies, P(D) is
P(D) = 0.3 + 0.36 + 0 = 0.66
To determine the prime suspect, we would apply the concept of conditional probability. It is the probability of an event, A occurring given that event B has occurred. We would compare probabilities of the events A and B occurring given that event D also occurred
Therefore,
P(A|D) = 0.3/0.66 = 0.45
P(B|D) = 0.36/0.66 = 0.55
Therefore, the prime suspect is Margo because his probability is higher
answer 7 and 8 for 16 points
9514 1404 393
Answer:
7) 42 yd²
8) 32 in²
Step-by-step explanation:
Put the given numbers in the appropriate area formula and do the arithmetic.
__
7) The area of a triangle is given by the formula ...
A = 1/2bh . . . . . where b is the base length and h is the height
A = 1/2(12 yd)(7 yd)
A = 42 yd²
__
8) The area of a parallelogram is given by the formula ...
A = bh
A = (8 in)(4 in)
A = 32 in²
What is the volume of this pyramid?
Enter your answer in the box.
Answer:
9576
Step-by-step explanation:
Area of the triangle × height
(1/2×28×19)×36
Hayden has three number cards. The
minimum of his three cards is 36, the
range is 41 and the median is 46.
What is the mean of Hayden's three
cards?
Answer:
Mean = 53.
Step-by-step explanation:
The median is the middle value so the 3 cards are
36, 46, x where x is to be found.
The range is 41, so:
x - 36 = 41
x = 41 + 36
x = 77.
Therefore, the mean is
(36+46+77) / 3
= 159/3
= 53.
A computer consultant charges her client for her services
based on an equation relating the total bill to the
number of hours worked (h). The best interpretation for
the expression 85h + 75 is
The best interpretation for the expression 85h + 75 is;
The charge for each hour worked is $85
The initial charge before commencement of work per hour is $75
How to Interpret Linear Equations?The general formula of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, the slope may also be called the rate of change of the output with the input while the y-intercept represents the initial value or the value of the output when the input is zero.
Now, we are given the equation for total bill as;
T = 85h + 75
where h is number of hours worked
Thus;
The charge for each hour worked is $85
The initial charge will be $75 before commencement of work per hour.
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Describe the slope of the line.
The slope is
Find the slope.
m =
help please
Step-by-step explanation:
In order to find the slope, we must know the formula needed.
\(\frac{y2}{x2} -\frac{y1}{x1} =m\)
Using 2 given points, we can subtract both and receive our final answer.
Points that are provided:
(4, 3)(1, -1)Substitute the given points into the formula format.
Then, solve.
\(\frac{3}{4} -\frac{-1}{1} =\frac{4}{3}\)
m = 4/3
The slope is positive. Meaning that the slope is increasing for the value of y.
Help as soon as possible!
Find the height of each figure.
(Triangle)
The area of the triangle is 6,460 inches squared.
The base is 136 inches and 196 inches. Find the missing height of the figure which is X inches.
The missing height of the triangle is h = 66 inches
Given data ,
Let's denote the missing height of the triangle as "h" inches.
The formula for the area of a triangle is given by:
Area = (1/2) * base * height
Given that the area of the triangle is 6,460 inches squared and the base is either 136 inches or 196 inches, we can set up two equations to solve for "h".
For the base of 136 inches:
Area = (1/2) * 136 * h
6460 = 68h
h = 6460 / 68
h ≈ 95 inches
For the base of 196 inches:
Area = (1/2) * 196 * h
6460 = 98h
h = 6460 / 98
h ≈ 66 inches
Hence , the height of the triangle is h = 66 inches or 95 inches
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Write the equation of the line that goes through the points A(3,-2) and B(5,4)
Answer:
y = 3x - 11
Step-by-step explanation:
(3, -2) and (5, 4)
m = 4+2/5-3
m = 6/2
m = 3
y = 3x + b
4 = 3(5) + b
4 = 15 + b
b = -11
y = 3x - 11
I NEED HELP ASAP!!! WHAT IS THIS ANSWER
Answer:
the first one is 3
second one is 7
third one -2
fourth one -3
Step-by-step explanation:
Given −48.132 ÷ −0.84, find the quotient.
40.4
47.292
57.30
−5.73
The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Given −48.132 ÷ −0.84.
Then the value of the expression will be
⇒ −48.132 / −0.84
If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.
⇒ 48.132 / 0.84
⇒ 57.30
The quotient of the expressions −48.132 and −0.84 will be 57.30.
Then the correct option is C.
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PLEASE HELP!!!
In which line did the student make the first mistake? (4 points)
Select one:
a. Line 2
b. Line 5
c. Line 3
d. Line 4
What is the value of 7(10 - 2^3) + 8 divided by 2
\(7(10-2^3)+8 \div 2 \\ \\ 7(10-8)+8 \div 2 \\ \\ 7(2)+8 \div 2 \\ \\ 7(2)+4 \\ \\ 14+4 \\ \\ \boxed{18}
\)
Five time a number plus nine is less than or equal to six times the number plus 5?
Answer:
1. Let x = #
2. "Five less than six times a number" can be written as: 6x - 5
3. "is at least" is the same as "greater than or equal to" and can be written as: >=
4. "nine subtracted from two times that number" can be written as: 2x - 9
5. the equation is: 6x - 5 >= 2x - 9
6. solve for x by grouping the x variable terms on one side and the constants on the other side:
6x - 5 >= 2x - 9
-2x +5 -2X +5
4x >= -4
7. divide each side by 4, and you get: x = -1
Step-by-step explanation:
20 points if you answer it! What is the area of the trapezoid with height 10 units?
The area of the trapezoid with height 10 units is,
A = 170 Units²
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Height of trapezoid = 10 units
Base (a) = 12 + 5 + 12 = 29 units
Base (b) = 5 units
Now, We knw that;
The area of the trapezoid is,
A = (a + b) h / 2
Substitute all the values we get;
A = (29 + 5) 10 / 2
A = 34 x 5
A = 170 Units²
Thus, The area of the trapezoid with height 10 units is,
A = 170 Units²
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Determine if ✓ 8 is rational or irrational and give a reason for
a reason for your answer.
What is the atomic number of an atom?
A. the number of electrons and neutrons
B. the number of protons
C. the number protons and neutrons
D. the number of neutrons
Answer:
the number of protons in the nuclues of an atom
Find the value of each variable.
The values of the variables in the semicircle shown are:
x = 63 degrees; y = 90 degrees.
What is the Angle Inscribed in a Semicircle Theorem?A semi-circle is exactly half of a full circle and has a measurement of 180 degrees; the two endpoints of the diameter form the endpoints of the semi-circle. If an angle is enclosed inside a semi-circle, the angle formed measures 90 degrees.
Therefore, it means the value of the variable, y = 90 degrees.
Thus, using the triangle sum theorem, we have:
x = 180 - 90 - 27
x = 63 degrees.
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find the length of BC.
Answer:
C, 53.68 units
Step-by-step explanation:
tan 54° = \(\frac{x}{39}\)
39 tan 54° = x
x= 53.6788949 (just plug it in a scientific or graphing calculator)
x≈53.68
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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