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Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › Stepped fix cost
Activity level(units) 800 1200
Total cost $ 16,400 23600
The fixed costs of the business step up by 40% at 900 units
calculate variable costs ?
cant understand how to calculate it kindly help
thanks
I cant understand it by the help of algebra method !
If the variable cost is V and the fixed cost (before the step-up) is F,
ThenL
800V + F = 16400
and
1200V + 1.4F = 23600. (multiplying F by 1.4 is the same as adding on 40%)
Multiply everything in the first equation by 1.4:
1120V + 1.4F = 22960
Subtract everything in this third equation from everything in the second equation:
80V + 0 = 640
Therefore 80V = 640, and V = 640/80 = $8 per unit.
Hi John,
For the above question can you let me know why we have taken 1.4 F at the level 1200?
The question says the step up cost is 40% at 900 units..can u tell me logic behind this?
Since the step up occurs at 900 units, the ‘new’ fixed cost will apply for any level above 900 units.
Ok.. thank you..
You are welcome 🙂
