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emuleiii
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Joined: 01 Apr 2008
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Posted: 14 Jul 2011 at 12:29 | IP Logged  

can anyone please help answer this question

A company produces and sells 2 products. The first product accounts for 75% of sales and the second product accounts for the remaining 25% of sales. The first product has a selling price of $10 per unit, variable costs of $6 per unit, and allocated fixed costs of $100,000.  The second product has a selling price of $25 per unit, variable costs of $13 per unit, and allocated fixed costs of $212,000. at the break even point , what number of units of the first product will have been sold ?

a 52,000
b 39,000
c 25,000
d 14,625

the answer is B  but I got D somehow, any advise would be appreciated
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studentcpa
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Joined: 25 Jun 2010
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Posts: 62
Posted: 14 Jul 2011 at 13:16 | IP Logged  

I worked this question, this way..Assume total sales to
be "x".Based on the product mix, first product sales =
0.75x, second product = 0.25x. At break even, fixed cost
equals contribution. Total fixed cost is $312,000.
Contribution p.u of first product, will be $4 and second
product is $12 p.u.

So, 0.75x *$4+0.25x* $12=$312,000. Solving for x, you get
total sales as $52000 and 75% of total sales is first
product sales= $39,000.

Hope this helps



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