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Kubin Company’s relevant range of production is 12,000 to 16,000 units. When it produces and sells 14,000 units, its average costs per unit are as follows:


Average Cost per Unit
Direct materials $ 7.30
Direct labor $ 4.30
Variable manufacturing overhead $ 1.80
Fixed manufacturing overhead $ 5.30
Fixed selling expense $ 3.80
Fixed administrative expense $ 2.80
Sales commissions $ 1.30
Variable administrative expense $ 0.80

Required:

1. Assume the cost object is units of production:

a. What is the total direct manufacturing cost incurred to make 14,000 units?

b. What is the total indirect manufacturing cost incurred to make 14,000 units?



2. Assume the cost object is the Manufacturing Department and that its total output is 14,000 units.

a. How much total manufacturing cost is directly traceable to the Manufacturing Department?

b. How much total manufacturing cost is an indirect cost that cannot be easily traced to the Manufacturing Department?



3. Assume the cost object is the company’s various sales representatives. Furthermore, assume that the company spent $39,200 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 14,000 units, what is the total direct selling expense that can be readily traced to individual sales representatives?

b. When the company sells 14,000 units, what is the total indirect selling expense that cannot be readily traced to individual sales representatives?

. Assume the cost object is units of production:

a. What is the total direct manufacturing cost incurred to make 14,000 units?
b. What is the total indirect manufacturing cost incurred to make 14,000 units?

Note: For all the requirements, round per unit values to 2 decimal places.
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1a. Direct material cost per unit
1a. Direct labor cost per unit
1a. Direct manufacturing cost per unit $0.00
1a. Number of units produced and sold
1a. Total direct manufacturing cost $0
1b. Variable manufacturing overhead per unit
1b. Fixed manufacturing overhead per unit
1b. Indirect manufacturing cost per unit $0.00
1b. Number of units produced and sold
1b. Total indirect manufacturing cost $0

The cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

Cubic feet of air used per minute = Difference in quantity of air in his tank / difference in time

= (30 - 12) / (3:30pm - 3:15pm)

= 18 / 15

= 1.2 cubic feet of air per minute

Therefore, the cubic feet of air the scuba diver used per minute is 1.2 cubic feet of air per minute

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Answer:

the anser is 1.3

have a nice day!

Step-by-step explanation:

a) is true

b) is true

c) is false

d) is false

e) is true

Answer:

The serving size per person is 4

Step-by-step explanation:

The recipe serves six people. Find

The serving size per person is 24 ÷ 6 = 4.

Answer:

0.00006

Step-by-step explanation:

Answer:

a-bi

Step-by-step explanation:

The complex conjugate root theorem states that

(a+bi) is one root then (a-bi) must also be a root

Answer:

The length of the hypotenuse is 100.

Step-by-step explanation:

To find the length of the hypotenuse, we use the following formula:

c=\(\sqrt{a^2+b^2}\)

c=\(\sqrt{28^2+96^2}\)

c=\(\sqrt{10,000}\)

c=100

Therefore, the length of the hypotenuse is 100.

1. The percentage of increase in the test is 28%.

2 The percentage increase regarding the sales of pizza is 9%.

1. From the information, on a biology test, a student got 25 questions correct but did not pass and on a second attempt, the student got 32 questions correct.

The percentage increase will be:

= Increase/ Original value × 100

= (32 - 25) / 25 × 100

= 7/25 × 100

= 28%

2. Since the sales of frozen pizza for a club fund-raiser increased from 500 one year to 545 the next year. The percentage increase will be:

= (545 - 500) / 500 × 100

= 45/500 × 100

= 9%

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Answer:

480 square inches

Step-by-step explanation:

width = base = 24 inches

length = height = 40 inches

area of the triangular scarf = 1/2 * base * height

= 1/2 * 24 * 40

= 480 square inches

Answer:

Step-by-step explanation:

1/2 x 1/8 : 1/24 =

1/16 x 24 =

24/18 =

3/2

The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).

The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.

We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .

Factorization by grouping:

We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.

This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)

Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).

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Answer:

\(\huge\boxed{\bf\:59.7^{\circ}\:F}\)

Step-by-step explanation:

Temperature during the day = \(35.2^{\circ}F\)

Temperature at night = \(-24.5^{\circ}F\)

Difference in the temperatures

= Temperature during the day - Temperature at night

= \(35.2^{\circ}F - (- 24.5^{\circ}F)\\= 35.2^{\circ}F + 24.5^{\circ}F\\=\boxed{\bf\:59.7^{\circ}F}\)

Difference in the temperatures = 59.7° F

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

\(\$\ 6400\)

Step-by-step explanation:

1. Approach

The easiest way to solve this problem is to find the area of the first room with the dimensions of (12ft) by (14ft). Then one will divide the cost of carpeting the room by the area of the room, this will yield the price of carpeting per square foot. After finding the price of carpeting per square foot, one will find the area of the second room, with the dimensions of (48ft) by (56ft). Finally, one will multiply the price per square foot of carpeting by the area of the second room to find the price for carpeting the second room.

2. Find the area of the first room

Assume that the first room is a rectangle. the following formula can be used to find the area of a rectangle,

\((length)(width)=Area\)

The following are the dimensions of the given room,

\(length = 14\\width = 12\)

Substitute into the formula to find the area and simplify to solve,

\((length)(width)=Area\)

\((14)(12)=Area_1\)

\(168=Area_1\)

3. Find the price of carpeting per square foot

To find the price of carpeting per square foot, divide the total price for carpeting the first room by the area of the first room.

\(\frac{carpeting\ price_1}{area_1}\)

\(=\frac{400}{168}\)

Simplify,

\(=\frac{400}{168}\)

\(=\frac{50}{21}\)

4. FInd the area of the second room

Assume that the second room is also a rectangle. Use a similar strategy to find the area of this room as used for the area of the first room.

\((length)(width)=Area\)

\(length = 48\\width = 56\)

Substitute and simplify to sovle,

\((length)(width)=Area\)

\((48)(56)=Area_2\)

\(2688=Area_2\)

5. Find the price for carpeting the room

Multiply the area of the room by the price for carpeting per square foot to find the price for carpeting the second room.

\((Area_2)*(carpeting\ price)\)

\(2688=Area_2\)

\(\frac{50}{21}=carpeting\ price\)

\((Area_2)*(carpeting\ price)\)

\(=(2688)*(\frac{50}{21})\)

Simplify to solve,

\(=(2688)*(\frac{50}{21})\)

\(=(2688)*(\frac{50}{21})\)

\(=6400\)

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

Step-by-step explanation:

B

there you go

sorry

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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Answer:

225

Step-by-step explanation:

I hope this helps!

The value of the ratio based on the angle illustrated is 1:12.

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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Answer:

Step-by-step explanation:

-3.75 +4.35 -6.55

-3.75 + 4.35 = 0.6

0.6 - 6.55 = - 5.95

- 3.75 + 4.35 - 6.55 = - 5.95

Answer: -9.2

Step-by-step explanation:

Imagine you are adding the numbers 6.8 + 2.4. Eight plus four equals twelve; after carrying the one, we add one plus six plus two, which equals nine. After that, add the negative sign in front.

To solve this problem, our first step is to convert all the units to meters, this is because the cost is given in $ per square meter.

Convert the length of the wall, which is given in ft, to meters.

Now, find the area of the wall to know how many square meters you need to paint, use the formula for the area of a rectangle:

Use this area to find the cost to

Answer:

the ratio would be 9:4 because you just add

Step-by-step explanation:

just add the rstio

Answer:

0.14% probability of a person guessing the right​ combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the numbers are selected is important. For example, 1,3,2 is a different combination than 3,1,2. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

Desired outcomes:

One right combination, so \(P = 1\)

Total outcomes:

10 numbers from a set of 3. So

\(P_{(10,3)} = \frac{10!}{(10-3)!} = 720\)

What is the probability of a person guessing the right​ combination?

\(p = \frac{D}{T} = \frac{1}{720} = 0.0014\)

0.14% probability of a person guessing the right​ combination

The powers, (index) and coefficients of the polynomial indicates;

(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

(B) 4

(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4

(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6

(E) Please find attached the graph of the polynomial created with MS Excel

(F) Four complex roots

A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.

Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6

Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4

Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;

Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;

+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes

The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;

The possible number of negative zeros are 2 or 0, negative zeroes

Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4

Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes

Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.

The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;

p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6

Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel

Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial

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Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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We need to convert 4120 into hexadecimal.

4120 is given in base 10, which means in decimal form.

First, divide 4120 into 16:

The remainder is 8

Then, divide 257 into 16:

The remainder is 1

Then divide 16 into 16:

The remainder is 0.

Finally, divide 1 into 16:

The remainder is 1.

Therefore, we need to write down the remainders in reverse order to get the answer.

The decimal number 4120 converted to hexadecimal is therefore equal to 1018.