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Junior Member
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Jul 29, 2011, 03:21 PM
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Breakeven Analysis
Techno Designs produces head covers for golf clubs. The company expects to generate a profit next year. It anticipates fixed manufacturing costs of $126,500 and fixed general and administrative expenses of $82,030 for the year. Variable manufacturing and selling costs per set of head covers will be $4.65 and $2.75, respectively. Each set will sell for $13.40.
1) Compute the breakeven point in sales units.
2) Compute the breakeven point in sales dollars.
3) If the selling price is increased to $14.00 per unit and fixed general and administrative expenses are cut by $33,465, what will be the new breakeven point be in units.
Just need to know where to start. I don't know if I'm suppose to add 126,500 and 82,030, for the FC do I add the 4.65 to the 2.75. I have no clue as where to begin I know how the formula works but the example were pretty simple just stated the amounts that were need not four different amounts. Any help to get me started will be apreciated.
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Ultra Member
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Jul 29, 2011, 03:34 PM
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You add the fixed costs together and the variable costs per unit together. You could do a simple algebraic calculation using the sales price per unit, the variable costs per unit, and the fixed costs to solve for the number of units.
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Junior Member
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Jul 29, 2011, 03:55 PM
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Ok so I added 126,500 to 82,030 and get 208,530 for my FC
then 4.65 to 2.75 for 7.40 for VC
So now I'm ready for the formula which is S-VC-FC=$0
So would it be 13.40 - 7.40-208,530=$0
this would come out as a -208,524 so I think I'm missing something.
I wanted to be able to show you I could do this but I seem to be missing something.
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Junior Member
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Jul 29, 2011, 04:04 PM
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I'm trying it this way to
13.40X-7.40-208,530=0
6X= /6
X=
I still come up with a negative number
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Ultra Member
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Jul 29, 2011, 04:08 PM
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So close. X=number of units The only change you need is to apply X to the 7.40 as the variable costs are 7.40 per unit, or 7.40X.
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Junior Member
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Jul 29, 2011, 04:18 PM
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13.40X-7.40X-208,530=0
(80.40) - (44.40)- 208,530=0
6X=208,494
X=34,749 units
My numbers are negatives, am I getting close or still off
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Ultra Member
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Jul 29, 2011, 04:23 PM
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Your second line is wrong. X is the number of units you are solving for. To show 80.40 means you multiplied 13.4 x 6, and there's no reason to do that. What is 13.40x-7.40x? You show 6x and that is right. What is not right is the 208,494. The nice thing about this is that you can go back to the equation with the number of units you determine and check if it comes out right.
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Junior Member
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Jul 29, 2011, 04:28 PM
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It's 6, I was think I had to mutiply the 13.40 by 6 will try again.
13.40x-7.40X-208,530=0
6X=208524/6
X=34754
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Ultra Member
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Jul 29, 2011, 04:32 PM
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Let me show you an example.
If you have an equation that says:
5x-3x-50=0
2x-50=0
2x=50
x=50/2=25
You can double check:
5(25)-3(25)-50=0
125-75-50=0
That statement is correct so you know you solved correctly.
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Junior Member
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Jul 29, 2011, 04:42 PM
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Are my top numbers correct?
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Ultra Member
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Jul 29, 2011, 04:44 PM
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I'm not sure what you mean by your top numbers. Everything is fine except the $208,524/6 in your previous post. That line of your equation needs tweaking.
13.40x-7.40X-208,530=0
6X=208524/6 ------------------------> The 208524/6 isn't right.
X=34754
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Junior Member
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Jul 29, 2011, 04:49 PM
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OK thank you, that's the number I come up with when I subtract 13.40-7.40-208,530 I come up with 208,524 so I must be doing something wrong.
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Ultra Member
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Jul 29, 2011, 04:53 PM
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You are mixing things up. There is no 13.40-7.40. There is a 13.40x-7.40x. I gave you a very simple example to follow in post 9. Did that make sense to you?
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Junior Member
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Jul 29, 2011, 05:00 PM
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I think I have it.
13.40X-7.40X-208,530=0
6X-208,530=0
X=34,755
13.40(34,755)-7.40 (34,755)-208,530=0
465717-257187-208530=0
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Ultra Member
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Jul 29, 2011, 05:00 PM
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Yes!
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Ultra Member
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Jul 29, 2011, 05:03 PM
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So, that's the answer to #1. Now you have to do #2 and #3. My work day is done so I'm heading home. I'll check back later if you want to post those answers, or if you feel comfortable and don't need to have your answers checked that's good too.
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Junior Member
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Jul 29, 2011, 05:04 PM
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I was using the number I got when subtracting instead of using the FC number. I made a note of that.
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Junior Member
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Jul 29, 2011, 05:34 PM
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For question 2 my answer is
$13.40 *34,755=$465,717
3) 14.00X-7.40-175065=0
6.6X=175065
X=26,525
14.00(26525)-7.40(26525)-175065=0
371350-196285-175065=0
I think this correct but I wanted your opinion. Not so sure about question 2.
Thank you for your help.
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Ultra Member
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Jul 29, 2011, 06:08 PM
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Your answers are correct. The only thing is that you want your equation to be 14.00X-7.40x-175065=0
I think you knew that but just didn't type it.
You're welcome. :)
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