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Subject Topic: BEC - AICPA 2009 #36 (Topic Closed Topic Closed) Post ReplyPost New Topic
  
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pheepa
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Posted: 11 Jun 2009 at 01:32 | IP Logged  

Mr.300 wrote:

36.  CPA- A ceramics manufacturer sold cups last year for $7.50 each.  Variable costs of manufacturing were $2.25 per unit.  The company needed to sell 20,000 cups to break even.  Net income was $5,040.  This year, the company expects the price per cup to be $9.00; variable manufacturing costs to increase 33.3%; and fixed costs to increase 10%.  How many cups (rounded) does the company need to sell this year to break even?

 

a. 17,111 b. 17,500 c. 19,250 d. 25,667 Explanation Choice "c" is correct.  



I will try my best to explain.

First, you must calculate the Contribution margin per unit and the Fixed costs for the previous year.

Sales - Variable Cost = Contribution per unit
7.50  -    2.25          =  5.25

Since they need to sell 20,000 cups to breakeven, this amount would be the breakeven in units; now use the formula to solve for the fixed costs


BE Units = Fixed cost/CM per unit
20000    =  x / 5.25
x = 20,000 * 5.25
x = 105,000

Current year

Selling price - 9.00
Variable cost increased by 33.%
2.25 * 33.3% = 2.25 + 0.7493 = 2.9993

Therefore; Contribution margin per unit will now be

9.00 - 2.9993 = 6.00

Fixed costs increased by 10%

105,000 * 10% = 105,000 + 10,500 = 115,500

Now solve for BE in units using formula

BE = Fixed costs / Contribution margin per unit

115,500/6.00

BE in units = 19,250

Hope it helps






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pheepa
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Posted: 11 Jun 2009 at 01:43 | IP Logged  

Nan - Louisiana wrote:

Ignore the Net Income $5,040.  Irrelevant information.

Last year:

Selling price was 7.50, variable cost was 2.25, leaving 5.25 per cup to cover fixed costs.

5.25 per cup available for fixed costs x 20,000 cups to break even = 105,000 total fixed costs.

This year:

Variable costs up 33.3%.  2.25 x 1.33333 = 3.00 variable cost per cup.

Fixed costs up 10%.  105000 x 1.1 = 115,500 total fixed costs.

Selling price 9.00 - 3.00 VC = 6.00 available per cup to cover fixed costs.

115,500 / 6.00 = 19,250 cups to sell to break even

 



Hi

Since you explained that problem so well, I was wondering if you could do the same for this.  I try to answer posts to be sure that I understand the topics,but this one I am kind of confused

Bartlett Company is considering a product, Pear.  Bartlett’s fixed costs are $200,000.  Pear’s contribution margin is $200 per unit.  Bartlett has a marginal tax rate of 25%.  How many units of Pear would Bartlett have to sell to have after-tax net income of $1,000,000?


2250

4750

5000

6000


I know the formula

Fixed Cost + (Net Income/1-tax rate)/contribution margin per unit

However, when I apply I do not get any of the answers above.

Thanks




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Nan - Louisiana
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Posted: 11 Jun 2009 at 09:33 | IP Logged  

Doesn't work for me either.  Something seems to be missing.

Where did you see this question?



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huamao
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Posted: 17 Jun 2009 at 17:19 | IP Logged  

i got 7666. does some one agree?

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Ashely
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Posted: 17 Jun 2009 at 23:04 | IP Logged  

I got 7667 units too.

Assume company has to sell x units
FC=$200,000
c.m.=$200/unit
after tax income=$1,000,000
tax rate=0.25

then: 200x = FC + 1,000,000/(1-tax rate)

200x=200,000+ 1000,000/0.75

so: x=7667 (units)

If I am wrong, please correct me.

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