What effect does an increase in the activity level have on variable costs per unit?

October 7, 2014 at 3:15 pm #203742

What effect does an increase in the activity level have on variable costs per unit?
Barbara

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A company has prepared flexed budgets at two activity levels. The cost per unit of three costs is given below. All three costs behave in a linear manner with respect to activity. Activity level (units)

Cost 10,000 15,000
X $3·0 per unit $2·0 per unit
Y $1·0 per unit $1·0 per unit
Z $3·5 per unit $3·0 per unit

Is each of the costs variable, semi-variable or fixed?
X Y Z
A Variable Fixed Semi-variable
B Variable Fixed Variable
C Fixed Variable Semi-variable
D Fixed Variable Fixed

Why is Z a semi-variable cost?

October 7, 2014 at 3:40 pm #203748

What effect does an increase in the activity level have on variable costs per unit?
John Moffat

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Z cannot be completely variable – it is was, then the cost per unit would be the same.

It cannot be completely fixed either, because if it was then the total cost would be the same. As it is, the total at 10,000 is 1000 x 3.5 = $35,000, but the total at 15,000 is 15,000 x $3 = $45,000.

So….it must be semi-variable (i.e. part fixed and part variable).

October 7, 2014 at 3:52 pm #203753

What effect does an increase in the activity level have on variable costs per unit?
Barbara

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Thank you very much!!!!

October 7, 2014 at 7:33 pm #203772

What effect does an increase in the activity level have on variable costs per unit?
John Moffat

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You are welcome, Barbara 🙂

January 22, 2015 at 9:01 am #223344

Mariam

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i have a query…what if ur asked whats the relation between an increase or decrease in the activity level of a semi variable cost,what would happen to the cost per unit? would it decrease or increase ?

January 22, 2015 at 9:11 am #223346

What effect does an increase in the activity level have on variable costs per unit?
John Moffat

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The variable cost per unit will stay unchanged.

However with regard to the fixed cost, if the activity increases then the fixed cost per unit will fall, and therefore the total cost per unit will fall.

(Vice versa if the activity level falls).

January 22, 2015 at 10:15 am #223352

Mariam

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so when the activity increases or decreases in semi variable costs, the variable cost per unit remains constant?
and for the fixed costs if activity increases, does the variable cost per unit decrease by the same proportion?

January 22, 2015 at 10:23 am #223353

Mariam

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how about variable and step fixed costs

January 22, 2015 at 11:44 am #223367

EFAGCollege

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what is fixed variable?

January 22, 2015 at 1:38 pm #223399

What effect does an increase in the activity level have on variable costs per unit?
John Moffat

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Mariam:

The cost per unit is partly the variable cost and partly the fixed cost.
As I wrote before, the variable cost per unit remains constant (the total variable cost increases and decreases with the level of activity).
The fixed cost in total remains constant, but the fixed cost per unit will increase or decrease as the level of activity changes.

If there is a step-up in the fixed costs, then there will be a step-up also in the fixed cost per unit, but the variable cost per unit will stay constant.

January 22, 2015 at 1:40 pm #223400

What effect does an increase in the activity level have on variable costs per unit?
John Moffat

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EFAGCollege:

A variable cost is where the total cost changes with the level of activity. The variable cost per unit is fixed – so more units means more total variable cost, fewer units means less variable cost.

The free lecture on this will help you.

January 22, 2015 at 6:35 pm #223439

Mariam

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so lets say for instance, an increase of 10 percent was noted in the activity level, what effect would it have on the following costs
a) fixed costs
b)variable costs
c)semi fixed costs
d)step fixed costs

January 23, 2015 at 9:00 am #223506

What effect does an increase in the activity level have on variable costs per unit?
John Moffat

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Fixed costs: total fixed costs will not change; fixed cost per unit will fall

Variable costs: total variable cost will increase; variable cost per unit will not change

Semi-variable: total cost will increase; cost per unit will decrease

step fixed costs: total cost will not change, except at the level of activity where the step occurs – at that level it will increase (and then stay at the new level).
cost pe unit will reduce, except at the level of activity where the step occurs – at that level the cost per unit will increase and then start falling again as activity increases further.

Have you watched the free lecture?

What effect does an increase in the activity level have on total fixed costs?

Fixed costs are costs that are fixed in total and do not vary in relation to the changes in activity level. As the activity level increases, the fixed cost per unit will decrease because the total amount is fixed and will be distributed in an increased activity level on a per-unit basis.

What effect does an increase in the activity level have on unit fixed cost unit variable cost total fixed cost total variable cost?

The higher the level of activity, the lower the fixed cost per unit. Fixed costs have two main characteristics: (a) The total cost remains fixed, regardless of changes in the level of activity; (b) The cost per unit varies inversely with changes in the level of activity.