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Step2247 [10]
3 years ago
14

Steeze Co. makes snowboards and uses the total cost approach in setting product prices. Its costs for producing 10,500 units fol

low. The company targets a profit of $315,000 on this product.
Mathematics
1 answer:
Feliz [49]3 years ago
3 0

Answer:

\large \boxed{1.\, \$239.81; 2.\, 12.5 \, \% ; 3. \$\,270}

Step-by-step explanation:

Assume the costs are as in this table

\begin{array}{rrrr}\textbf{Variable costs} & \textbf{per Unit} & \textbf{Fixed} & \textbf{Costs}\\\text{Direct materials} & \$ \, 101 & \text{Overhead} & \$\, 471000\\\text{Direct labour} & 26 & \text{Selling} & 104000\\\text{Overhead} & 21 & \text{Administrative} & 326000\\\text{Selling} & 6 & &\\\end{array}

1. Total cost per unit

(a) Total cost

\begin{array}{lrcr}\textbf{Item} &  & & \textbf{Subtotal}\\\text{Direct materials} & 10500 \times 101 & = & \$ \, 1060500\\\text{Direct labour} & 10500 \times 26 & = &273000\\\text{Unit overhead} & 10500 \times 21 & = & 220500\\\text{Unit selling}& 10500 \times 6 & = & 63000\\\text{Fixed overhead} &  & = & 471000\\\text{Fixed selling} &  & = & 106000\\\text{Administrative} &  & = &324000\\\text{TOTAL} &  &= &\mathbf{\$ \, 2518000}\\\end{array}

(b) Cost per unit

\text{Total cost per unit} = \dfrac{\text{Total cost}}{\text{No. of units}} = \dfrac{\text{$\$ $2 518 000}}{\text{10 500}}= \textbf{\$239.81}

2. Markup percentage

\text{Total sales = total costs + profit} = $2 518 000 + $315 000 =\, \$2 833 000\\\\\text{Unit selling price} = \times \dfrac{\text{Total sales}}{\text{No. of units}} = \dfrac{\text{\$ 2833000}}{\text{10 500}}= \$269.81\\\\\text{Markup percentage} = \dfrac{\text{Selling price - Unit cost}}{\text{Unit cost}} \times 100 \, \%\\\\\\= \dfrac{\text{269.81 - 239.81}}{\text{239.81}}\times 100 \,\% = \mathbf{12.5 \, \%}\\\\\text{The markup percentage is $\large \boxed{\mathbf{12.5 \, \% }}$}

3. Sales price by total cost method

Assume the markup percentage is 12.5 %.

Sales price = cost + markup percentage × cost  

Sales price = $240 + ( 0.125× $240) = $240+ $30 = $270

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4 years ago
Fast-food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Certainly, the f
melisa1 [442]

Answer:

For the 99th percentile, we have X = 206 seconds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 138.5, \sigma = 29

99th percentile:

Value of X when Z has a pvalue of 0.99. So we use Z = 2.325

Z = \frac{X - \mu}{\sigma}

2.325 = \frac{X - 138.5}{29}

X - 138.5 = 29*2.325

X = 205.92 = 206

For the 99th percentile, we have X = 206 seconds.

4 0
3 years ago
Choose the correct solution and graph inequality q + 1/3 > 1/2​
kherson [118]

Answer:

first choice

Step-by-step explanation:

make 1/3 and 1/2 a common denominator, which is 6.

1x2

-      = 2

         -

3x 2   6

1 x 3  

-       =    3

             -

2 x 3      6

now u have 2/6, and 3/6

u subtract 2/6 by 3/6 since ur finding a solution to an inequality. remember to do the opposite sign.

2/6-2/6 = 0 (u cancel that out)

3/6 - 2/6 = 1/6

now u have

q>1/6

since there's no 1/6 the first choice is the most accurate

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3 years ago
Which of the following statements about<br> Triangle ABC are correct?
irina [24]

Answer:

A

Step-by-step explanation:

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3 years ago
Use a area model to find the product 28 time 32
kiruha [24]

Answer: The answer is 896.


Step-by-step explanation: There are several ways to answer this. If you multiply both the 28 and the 32  you get the final answer 896 quickly.

However there are different ways to get the answer that aren't as quick as this one.

First we multiply.

<em>30*20=600 </em>

Then we continue multiplying.

<em>8*30=240 </em>

<em>20*2=40 </em>

<em>8*2=16 </em>

Then we add all the values up starting with the hundreds

<em>600+240=840. </em>

<em>40+16=56</em>

Finally we add both of the values up and we get our answer <em>840+56=896. </em>

<u><em>A=896 Hope this helps!</em></u>

7 0
3 years ago
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