# Math Help - Break even

1. ## Break even

Beta Inc. Has based its budget forecast for next year on the assumption it will operate at 90% of capacity. The Budget is

Sales revenue = $18 000 000 Fixed Costs =$10 000 000
Total Variable Costs = $6 000 000 Total Costs =$ 16 000 000
NET INCOME = 16 000 000

a) At what percentage of capacity would Beta Break Even

at break even point , NI = 0 Ni = ( S - VC ) x - FC

0 = ( 1 200 000 - 6 000 000 )x - 10 000 000

0 = -4 800 000x - 10 000 000

x = -2.0833...

i'm getting confused after that

Question: is Sales Revenue the same thing as total revenue?

2. ## edited

Beta Inc. Has based its budget forecast for next year on the assumption it will operate at 90% of capacity. The Budget is

Sales revenue = $18 000 000 Fixed Costs =$10 000 000
Total Variable Costs = $6 000 000 Total Costs =$ 16 000 000
NET INCOME = 2 000 000

a) At what percentage of capacity would Beta Break Even

at break even point , NI = 0 Ni = ( S - VC ) x - FC

0 = ( 1 200 000 - 6 000 000 )x - 10 000 000

0 = -4 800 000x - 10 000 000

x = -2.0833...

i'm getting confused after that

Question: is Sales Revenue the same thing as total revenue?[/quote]

3. Breakeven occurs when Revenue exactly equals total costs. Equivalently, BE is when Revenue, minus Variable Costs, exactly equals Fixed Costs.

From the given info, you can see that Variable Costs are expected to be 1/3 of Revenue. It's usually expected that this proportionate relationship between Revenue and VC will hold over different Revenue levels.

Thus, the breakeven statement can be put as, BE occurs when Revenue, less 1/3 of Revenue, exactly equals Fixed Costs.

So what Revenue amount satisfies the notion that 2/3 of the Revenue equals 10M?

And finally, if 18M of Revenue is 90% of capacity, what % of capacity does the BE Revenue represent?