Solve for x

Acecustis

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Jul 31, 2010
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9.60x - (6.62x + 1,056,000) * 0.4x = 264,960

I feel like my set up is wrong. I used excel and x should equal 576,645

Here is the question and breakdown:

What volume of sales in dollars must Doyle Candy Company achieve in the coming year to maintain the same net income after taxes as projected for the current year if the selling price of candy remains at 9.60 per box and the variable production costs increase 15%?

NI (after taxes) = 264,960
Selling price = 9.60
VC (after 15% increase) = 6.62
Tax = 40%
Fixed Costs = 1,056,000

Your revenue is 9.60x and total costs is (6.62x + 1,056,000). The difference between sales and revenue should be multiplied by 0.4 (the tax rate) to give me 264,960. I don't know what I'm doing wrong. As I said using excel, x = 576,645
 
9.60x - (6.62x + 1,056,000) * 0.4x = 264,960

VC (after 15% increase) = 6.62
In the first equation above, you have not subtracted variable and fixed costs from gross revenue; you've subtracted only the tax.

Did they give you the second equation above, or did you calculate 6.62?

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