Target Costing

Instant Image Inc. manufactures color laser printers. Model J20 presently sells for $460 and has a product cost of $230, as follows:

Direct materials $175
Direct labor 40
Factory overhead 15
Total $230
It is estimated that the competitive selling price for color laser printers of this type will drop to $400 next year. Instant Image has established a target cost to maintain its historical markup percentage on product cost. Engineers have provided the following cost-reduction ideas:

Purchase a plastic printer cover with snap-on assembly, rather than with screws. This will reduce the amount of direct labor by 15 minutes per unit.
Add an inspection step that will add six minutes per unit of direct labor but reduce the materials cost by $20 per unit.
Decrease the cycle time of the injection molding machine from four minutes to three minutes per part. Forty percent of the direct labor and 48% of the factory overhead are related to running injection molding machines.
The direct labor rate is $30 per hour.

a. Determine the target cost for Model J20, assuming that the historical markup on product cost and selling price are maintained.
$fill in the blank 1
per unit

b. Determine the required cost reduction.
$fill in the blank 2
per unit

c. Evaluate the three engineering improvements together to determine if the required cost reduction (drift) can be achieved. Do not round interim calculations but round your final answers to two decimal places.

1. Direct labor reduction $fill in the blank 3
per unit
2. Additional inspection $fill in the blank 4
per unit
3. Injection molding productivity improvement $fill in the blank 5
per unit
Total savings $fill in the blank 6
per unit

Considering the given discrete probability distribution, the range of the variable X is given by:

Range(X) = {0.2, 0.4, 0.5, 0.8, 1}.

The range of a random variable is the set of all values that the variable can assume.

From the table, we have that X can assume the values of 0.2, 0.4, 0.5, 0.8 and 1, hence the range of the variable X is given by:

Range(X) = {0.2, 0.4, 0.5, 0.8, 1}.

More can be learned about a discrete probability distribution at https://brainly.com/question/24802582

#SPJ1

She paid a simple interest of $3,125.00 on the borrowing of $25,000

What is simple interest?

The simple interest on a loan or an investment can be determined as the principal multiplied by interest multiplied by the number of periods.

This is quite different from compound interest where the interest earned previously would earn interest in the future alongside the principal

I=PRT

I=interest on loan=unknown

P=amount borrowed=$25,000

R=interest rate=1% per month

T=12.5 months( from December 2 2011 to December 1 2012 makes one year and from December 1-16 gives 15 days, which is 0.5 of one month)

I=$25,000*1%*12.5

I=$3,125.00

Find out more about simple interest on:https://brainly.com/question/1115815

#SPJ1

Answer: [tex]y+2=2(x-3)[/tex]

Step-by-step explanation:

Parallel lines have the same slope, so substituting into point-slope form, the equation is

[tex]y+2=2(x-3)[/tex]

Answer:

The slope of a line perpendicular to this line is -1/3. The slope of a line parallel to this line would be 3.

Step-by-step explanation:

Perpendicular lines have opposite(sign) and reciprocal slopes.

Parallel lines have the same slope.

Answer:

1) 13m, 2) 10ft, 3) 11.4ft, 4) 12.7m

Step-by-step explanation:

Since all of these triangles are right triangles, we can use the Pythagorean Theorem: a^2+b^2 = c^2

1) 5^2+12^2 = c^2 = 25+144 = c^2 = 169 = c^2 = 13 = c

2) 6^2+8^2 = c^2 = 36+64 = c^2 = 100 = c^2 = 10 = c

3) 5^2+10.3^2 = c^2 = 25+106.09 = c^2 = 131.09 = c^2 = 11.4494541 = 11.4 = c

4) 8.6^2+9.4^2 = c^2 = 73.96+88.36 = c^2 = 162.32 = c^2 = 12.7404866 = 12.7 = c

Part 1: Devon is able to contribute (a) $450 each month to a retirement plan.

a. The amount in Devon's retirement account if she makes the same monthly investment for 40 years is $733,253.26.

b. Overall, Devon's total contribution of her own money into the retirement account is $216,000.

c. The percent of the final balance in Devon's retirement account that was interest was 70.5%.

Part 2: Taylor will invest (b) $1,733.00 per month.

a. The amount that will be in Taylor's retirement account if she makes the same monthly investment for 20 years is $733,253.26.

b. By the time that Taylor retires, she will have contributed $415,920 of her own money into the account.

c. The percent of the final balance in Taylor's retirement account that will be interest is 43.3%.

3. Both Devon and Taylor had the same amount, $733,253.26, in their retirement accounts when they planned to retire.

a. None had more money at their retirement.

b. Taylor contributed more to her retirement account by $199,920 ($414,920 - $216,000).

Gross monthly income = $4,500

APR = 5.25% compounded monthly

N (# of periods) = 480 months (12 x 40 years)

I/Y (Interest per year) = 5.25%

PV (Present Value) = $0

PMT (Periodic Payment) = $450 ($4,500 x 10%)

Results:

FV = $733,253.26 ($517,253.26 + $216,000)

Sum of all periodic payments = $216,000 ($450 x 480)

Total Interest = $517,253.26

Percentage of interest out of the FV = 70.5% ($517,253.26/$733,253.26 x 100)

N (# of periods) = 240 months (12 x 20 years)

I/Y (Interest per year) = 5.25%

PV (Present Value) = $0

FV (Future Value) = $733,253.26

Results:

PMT = $1,733.00

Sum of all periodic payments = $415,920 ($1,733 x 240

Total Interest = $317,333.26

Percentage of interest out of the FV = 43.3% ($317,333.26/$733,253.26 x 100)

Thus, based on the time value of money of investments, it is more profitable to start investing early.

Learn more about time value of money at https://brainly.com/question/15053018

#SPJ1

Answer:

5

Step-by-step explanation:

where there is the decimal point,you count the numbers after the decimal point

Based on the task content given; the initial fee and the fee per stop is $2 and $1.5 respectively.

let

x + 3y = 6.50

x + 7y = 12.50

7y - 3y = 12.50 - 6.50

4y = 6

y = 6/4

y = 1.5

x + 3y = 6.50

x + 3(1.5) = 6.50

x + 4.5 = 6.50

x = 6.50 - 4.5

x = 2

Therefore, the initial fee and the fee per stop is $2 and $1.5 respectively.

Learn more about equation:

https://brainly.com/question/11418438

#SPJ1

Answer:

303.66 in²

Option 4 is the correct answer

Assuming that the company sells all that it produces, The profit function is: P(x)=-x^/2+50x -100 or P(x)=-0.5x²+50x -100.

Profit = R-C = -(x-100)^2/2 +5000 - 50x -100 =

-(x^2 -200x +10000)/2 -50x +4900 =

-x^2/2 +100x -5000 +5000 -50x +4900

Collect like terms

-x^/2+50x -100

Hence,

Profit function = P(x)=-0.5x²+50x -100

Maximum profit generating output  can be determine by taking the derivative and setting it equal to zero

R-C = -x^2/2 + 50x -100

R'-C' = -x + 50 =0

P(0)x = 50

Maximum profit  can be determine by substituting x=50 into the original profit equation, R-C

P(50) =-(1/2)(50)^2 +50(50) -100

P(50)= -1250 + 2500 -100

P(50) = $1150 profit

P(120) =-(1/2)(120)^2 +50(120) -100

P(120)= -3600 + 6000 -100

P(120) = $2300 profit

Therefore the profit function is: P(x)=-x^/2+50x -100 or P(x)=-0.5x²+50x -100.

Learn more about profit function here:https://brainly.com/question/4618859

#SPJ1

Answer:

45 405 415 425 435 445

Step-by-step explanation:

this are the pattern of 6 numbers multiplying by number 5 to get the number starts with 4

Answer:

4,20,100,500,1500,8500.

Step-by-step explanation:

1. D

2. B

3. E

4. C

5. B

From the three examples at the top of the page, the sum of the bottom two parts of the triangle equals to six times the value of the part at the top.

For example, the first one: 20, 10, 5 (Tip)

For example, the second one: 4, 14, 3 (Tip)

Question 1

Given information

Tip = 15

Bottom = ?, 51

Determine the sum

15 × 6 = 90

Find the other bottom part

90 - 51 = 39

[tex]\Large\boxed{D.~39}[/tex]

Question 2

Given information

Tip = 9

Bottom = 21, ?

Determine the sum

9 × 6 = 54

Find the other bottom part

54 - 21 = 33

[tex]\Large\boxed{B.~33}[/tex]

Question 3

Given information

Tip = ?

Bottom = 60, 60

Determine the sum

60 + 60 = 120

Find the tip

120 ÷ 6 = 20

[tex]\Large\boxed{E.~20}[/tex]

Question 4

Given information

Tip = ?

Bottom = 18, 30

Determine the sum

18 + 30 = 48

Find the tip

48 ÷ 6 = 8

[tex]\Large\boxed{C.~8}[/tex]

Question 5

Given information

Tip = 12

Bottom = ?, 38

Determine the sum

12 × 6 = 72

Find the other bottom part

72 - 38 = 34

[tex]\Large\boxed{B.~34}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

1. The best way that we can represent the condo that Claire bought is by option B. [tex]350000(1.05)^{t}[/tex]

To determine the function, we would have to do so by making use of the given equation that we have here.

This is given as

Ct = [tex]A(1+r)^t[/tex]

Where a is the principal

r is the rate of interest and

t is the time

2. we have 70 = 30(1.03)^t

70/30 = (1.03)^t

We have to take the log of the function above in order to find the value of t

t = 28.665

This is approximated to 29

Hence the answer here is option A after 29 weeks.

Read more on interest rate here: https://brainly.com/question/2294792

#SPJ1

Answer:Sanjay has 8

Step-by-step explanation: Because 8x4 equals 32 so thats how much tanya has a 32+8 equals 40. This is what I did I knew 10x4 is 40 so that couldn't be it so then I tried 8 because nine x four is 36 which would be to high so I tried 8 and it was perfect hope this helps.

If Combined, Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, then Sanjay have 8 pens.

Two or more expressions with an equal signs is called as Equation.

Given that Tanya and Sanjay have 40 pens. If Tanya has four times as many pens as Sanjay, We need to find how many pens sanjay has.

Let sanjay has x number of pens.

Tanya has four times as many pens as Sanjay

So 4 times means four multiple of sanjay pens.

Tanya has four times as many pens as Sanjay can be write as 4x.

Combined of tanya and sanjay has 40 pens.

Combined means adding.

x+4x=40

Add the like terms

5x=40

Divide both sides by 5.

x=8

So Sanjay has eight pens and Tanya has 4(8)=32 pens.

Hence Sanjay have eight pens.

To learn more on Equations click:

https://brainly.com/question/10413253

#SPJ2

The probability that the candidate will win is P = 0.357

We know that the odds against the particular candidate are 9 to 5.

The the odds for the candidate are 5 to 9, this means that in 5 cases the candidate will win, and in 9 cases the candidate will lose.

Then the candidate wins in 5 out of 14 cases, then the probability that the particular candidate wins the elections is given by the quotient:

P = 5/14 = 0.357

The probability that the candidate will win is P = 0.357

If you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ1

Discrete data exists as a numerical kind of data that contains total, concrete numbers with clear and fixed data values specified by counting.

Therefore, the correct answer is option B. the number of dogs you take for a walk each day.

Discrete data exists as a numerical kind of data that contains total, concrete numbers with clear and fixed data values specified by counting. Discrete data exists a count that involves integers only a limited number of values exists possible. This kind of data cannot be subdivided into distinct parts. Discrete data contains discrete variables that exist in finite, numeric, countable, and non-negative integers.

Therefore, the correct answer is option B. the number of dogs you take for a walk each day.

To learn more about discrete data refer to:

https://brainly.com/question/14374747

#SPJ9

Answer:

[tex]21 \sqrt{2} [/tex]

Step-by-step explanation:

See attached image.

If four books are 100%, then 3 books are how much percent of total books?

[tex]\frac{3}{4}[/tex] × 100 = 3 × 25 = 75%

Hope it helps!

The answer is 75%.

To find the percentage, divide the number of given books by total books and multiply by 100%.

Answer:

So this is all you need to do!

Hope it helped you:)

According to John Locke, Experience is how we acquire basic knowledge.

What explains why, in many of the problems, historical data is used is; Information changes rapidly.

1) John Locke's theory simply means that all knowledge comes exclusively through experience. He argues that at birth the mind is a tabula rasa, that humans fill with ideas as they experience the world through the five senses.

Thus, the missing word in the question is "Experience".

2) The reason why historical data is used in may problems is because Information changes rapidly. The information being circulated currently may be different from that circulated 100 years ago.

Read more about John Locke at; https://brainly.com/question/9634224

#SPJ1

Answer:

Zachary weights 95.7 pounds

By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.

We are required to find whether the company is right in saying that their bags contain 11 kg of food.

First we have to make hypothesis.

[tex]H_{0}[/tex]:μ≠11

[tex]H_{1}[/tex]:μ=11

We have to use t statistic because the sample size is less than 30.

t=(X-μ)/s/[tex]\sqrt{n}[/tex]

We will use s/[tex]\sqrt{n}[/tex]=0.6 because we have already given population standard deviation of weights.

t=(11-10.6)/0.6

=0.4/0.6

=0.667

Degree of freedom=n-1

=25-1

=24

T critical at 0.05 with degree of freedom 24=2.0639

T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.

Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Learn more about t test at https://brainly.com/question/6589776

#SPJ1

Answer: [tex]\large\boxed{12x^3-30x+3=0}[/tex]

Step-by-step explanation:

[tex]Solve:\\\ 6(2x^2-5)x=-3\\\\Use\ distributive\ property\ first\\\\(12x^2-30)x=-3\\\\Now\ multiply\ the\ terms\ in\ ()\ by\ 'x'\\\\12x^3-30x=-3\\\\\large\boxed{12x^3-30x+3=0}[/tex]

The series of fractions is 1, 2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.

The string lengths are fractions whose numerators are powers of 2 and denominators are powers of 3, and the fractions are larger than 1/2 but smaller than 1.

Some powers of 2 are:

2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8, 2⁴ = 16, 2⁵ = 32, 2⁶ = 64, 2⁷ = 128, 2⁸ = 256, 2⁹ = 512, 2¹⁰ = 1024, 2¹¹ = 2048, 2¹² = 4096, 2¹³ = 8192, 2¹⁴ = 16384,  2¹⁵ = 32768, 2¹⁶ = 65536, and 2¹⁷ = 131072.

Some powers of 3 are:

3⁰ = 1, 3¹ = 3, 3² = 9, 3³ = 27, 3⁴ = 81, 3⁵ = 243, 3⁶ = 729, 3⁷ = 2187, 2⁸ = 6561, 3⁹ = 19683, 3¹⁰ = 59049, and 3¹¹ = 177147.

The fractions, for which the numerator is a power of 2, the denominator is a power of 3, and the value is between 1/2 and 1 are:

2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.

Thus, the series of fractions is 1, 2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.

Learn more about powers at

https://brainly.com/question/10873737

#SPJ1

Find where the two curves meet.

[tex]x^3 - x^2 + x + 8 = 5x^2 - 7x + 8 \\\\ \implies x^3 - 6x^2 + 8x = 0 \\\\ \implies x (x-2) (x - 4)= 0 \implies x=0, x=2, x=4[/tex]

The area between the curves is

[tex]\displaystyle \int_0^4 \left|\left(x^3-x^2+x+8\right) - \left(5x^2 - 7x + 8\right)\right| \, dx = \int_0^4 \left|x(x-2)(x-4)\right| \, dx[/tex]

When [tex]x[/tex] is between 0 and 2, [tex]x(x-2)(x-4)[/tex] is positive; when [tex]x[/tex] is between 2 and 4, [tex]x(x-2)(x-4)[/tex] is negative. So we split the integral at [tex]x=2[/tex] to get

[tex]\displaystyle \int_0^2 x(x-2)(x-4) \, dx - \int_2^4 x(x-2)(x-4)\,dx[/tex]

In the second integral, substitute [tex]y=x-2[/tex] to get

[tex]\displaystyle \int_0^2 x(x-2)(x-4) \, dx - \int_0^2 (y+2)y(y-2)\,dy[/tex]

[tex]\displaystyle \int_0^2 x(x-2) \bigg((x-4) - (x+2)\bigg) \, dx[/tex]

[tex]\displaystyle -6 \int_0^2 x(x-2) \, dx[/tex]

[tex]\displaystyle 6 \int_0^2 \left(2x - x^2\right) \, dx[/tex]

[tex]\displaystyle 6 \left(x^2 - \frac13x^3\right)\bigg|_0^2 = \boxed{8}[/tex]

The reason why we used plus or minus when taking the square root is because; The square root of terms separated by addition and subtraction cannot be calculated individually.

The general formula for a quadratic equation is;

ax² + bx + c = 0

Now, the steps to derive quadratic formula to find the roots of this equation are as follows;

Step 1; Divide both sides of the equation by a to get;

x² + (b/a)x + c/a = 0

Step 2; Transpose the quantity c/a to the right side of the equation to get; x² + (b/a)x =  -c/a

Step 3; Complete the square by adding b²/4a² to both sides of the equation to get; x² + (b/a)x + b²/4a² =  -c/a + b²/4a²

Step 4; Factor the left side and combine the right side to get;

(x + (b/2a))² = (b² - 4ac)/(4a²)

Step 5:  Extract the square-root of both sides of the equation to get;

x + (b/2a) = ±(√(b² - 4ac))/2a

The reason why we used plus or minus when taking the square root is because The square root of terms separated by addition and subtraction cannot be calculated individually.

Read more about Quadratic Formula at; https://brainly.com/question/8649555

#SPJ1

Answer:

piex

Step-by-step explanation:

the circumference of a circle is pie times the diameter of the circle.

Answer:

45

Step-by-step explanation:

Assuming this is a trapezoid,

[tex]\frac{29+WZ}{2}=37 \\ \\ 29+WZ=74 \\ \\ WZ=45[/tex]

Answer:

you better give me brainliest

Step-by-step explanation:

2x +5x+2 = 7x+2

Answer:

2 Inches or ~1.43 Inches

Step-by-step explanation:

2 Inches if it's not including the spacing before the first "E" and after the "S", ~1.43 Inches if it's including the spacing.

You would get 2 Inches since if each letter is 10 inches (total 6 letters), that would be 60 inches. There are 5 total spaces in between all the letters. 70 Inches(Banner size) - 60 Inches (total letter size) = 10 Inches, divided equally within the 5 spaces. That would equal 2 :)

You also get ~1.43 Inches by doing the same process as the one shown above^ (that is if you're including the spacing before and after the word)

:)