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dvyaspoojari
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Posted: 11 May 2012 at 18:14 | IP Logged  

Passmaster question CPA-05781

Question:- Wren Co. Manufactures and sells two products
with selling prices and variable costs as follows

Product A
Selling Price - $18
Variable Cost - $12

Product B
Selling Price - $22
Variable Cost - $14

Wren's Total Annual Fixed Costs are &38400. Wren sells
Four units of A for every Unit of B. If operational
Income last year was 28800. WHat was the number of units
Wren Sold?

a. 5486
b. 6000
c. 9600
d. 10,500

Answer in Passmaster is 10,500. Passmaster solution is
based on Product A = 4 units of Product B.

My query is - is this right ? or it should be
4 units of Product A = 1 Unit of Product B.

If you think i am wrong please explain me the solution
given in the passmaster.

thank you it will be great help



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musicamor04
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Posted: 12 May 2012 at 12:57 | IP Logged  

10,500 is correct because for every 1 unit of B sold, 4 units of A are sold. The quantity of "A" is FOUR times the quanity of B.



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maryk
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Posted: 13 May 2012 at 01:38 | IP Logged  

The wording "Product A = 4 units of product B" really is confusing.  The problem says that Product A is sold at a rate of 4 to 1 relative to product B.   I don't use Becker, so I can't see if there is typo or error in the explanation, or just bad wording.  I would solve the problem this way.

1.  Find the weighted contribution margin/unit (for a set of 5 products)
           Weighted selling price       18.80
    4A   (18.00 x 4)/5 = 14.40
    1B   (22.00 x 1)/5 = 4.40

           Weighted VC         &nbs p;         12.40
    4A  (12.00 x 4)/5 = 9.60
    1B  (14.00 x 1)/5 = 2.80      

2.  calculate contribution margin per combined unit (set of 5 products)
        18.80-12.40 = 6.40/unit

3.  Work backwards on the income statement with the information given to find your unknowns (in this case, the contribution margin):
       
        67,200    Calculated Contribution Margin (NI + FC)
       (38.400)     Give FC
       ________
        28,800     Given Net Income

4.  find number of units sold by dividing total CM by CM.unit

       67,200 / 6.40 = 10,500 units of product

If they wanted to know how many A's:

      (10,500 x 4)/5 =  8,400 A's
      (10,500 x 1)/5 =  2,100 B's

(This may have been way more info than you where looking for)



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dvyaspoojari
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Posted: 13 May 2012 at 12:51 | IP Logged  

@musicamor - thank you very much for your explanation - it
just went into my head. But i am not sure if i will be able
to think that way during exams. My first guess would be 4A
= B - but then now i will take special care to deal such
problems. Thanks again

@maryK - This is just an appropriate information that you
have given me to get the concept right. Thank you very much
for your explanation! I really appreciate it.

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musicamor04
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Posted: 13 May 2012 at 17:31 | IP Logged  

Great example, maryk!

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FAR - (42, 60, 64, 76)
AUD - (63, 87)
REG - (70, 58, 50 69, 70, 88--FINALLY!!)
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