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Mixed costs can be separated into their fixed and variable elements by using records of costs from previous periods - Leaving Cert Accounting - Question b - 2008

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Mixed costs can be separated into their fixed and variable elements by using records of costs from previous periods. Max PLC manufactures a single component. The fol... show full transcript

Worked Solution & Example Answer:Mixed costs can be separated into their fixed and variable elements by using records of costs from previous periods - Leaving Cert Accounting - Question b - 2008

Step 1

Separate production overheads into fixed and variable elements.

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Answer

To separate production overheads, we first establish the variable costs associated with different output levels.

Given:

  • At 90% production (18,000 units), total overhead costs = €114,000
  • At 50% production (10,000 units), total overhead costs = €66,000

Calculating the variable cost per unit: The total cost difference for the increase from 50% to 90% production:

e.g. 114,000 - 66,000 = 48,000

difference in units is:

e.g. 18,000 - 10,000 = 8,000

Thus, the variable cost per unit is:

ext{Variable cost per unit} = rac{48,000}{8,000} = 6

Now, calculating the total variable production overhead costs:

From either output level, we find the total production overheads:

For 10,000 units (50%):

  • Variable Production Overheads = 10,000imes6=60,00010,000 imes 6 = 60,000
  • Fixed Production Overheads = Total Overheads - Variable Overheads = 66,000 - 60,000 = €6,000

Thus:

  • Variable Component: €60,000
  • Fixed Component: €6,000.

Step 2

Separate other overhead costs into fixed and variable elements.

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Answer

For other overhead costs, we will calculate in a similar manner:

Given:

  • At a high production output of 18,000 units, total other overhead costs = €99,000.
  • At a low output of 10,000 units, total other overhead costs = €57,000.

The total cost difference:

e.g. 99,000 - 57,000 = €42,000

difference in units is:

e.g. 18,000 - 10,000 = 8,000

The variable cost per unit is:

ext{Variable cost per unit} = rac{42,000}{8,000} = 5.25

Calculating total variable other overhead costs:

For 10,000 units:

  • Variable Other Overheads = 10,000imes5.25=52,50010,000 imes 5.25 = 52,500
  • Fixed Other Overheads = Total Other Overheads - Variable Overheads = 57,000 - 52,500 = €4,500

Thus:

  • Variable Component: €52,500
  • Fixed Component: €4,500.

Step 3

Prepare a Flexible Budget for 95% Activity Level using Marginal costing principles, and show the contribution.

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Answer

To create a flexible budget for an output of 95% activity level (17,100 units), we will compute:

Sales Calculation: Assuming the sales price per unit is constant:

extSales=17,100imesext(SalePrice) ext{Sales} = 17,100 imes ext{(Sale Price)}

We have: Sales = €785,000 (assuming the appropriate price per unit is applied from previous data).

Variable Costs:

  • Direct Materials: =266,000= €266,000 (calculated from cost per unit)
  • Direct Labour: =144,000= €144,000 (similar)
  • Production Overheads: =112,900= €112,900 (assuming proportionate variable costs)
  • Other Overhead Costs: =17,100imes5.25=90,750= 17,100 imes 5.25 = €90,750

Total Variable Costs: 631,750=785,000(totalvariablecosts)631,750 = €785,000 - (total variable costs)

Contribution Margin: extContribution=extSalesextTotalVariableCosts ext{Contribution} = ext{Sales} - ext{Total Variable Costs}

Final breakdown:

  • Less Fixed Costs: €35,500
  • Profit = €117,770 (to fulfill the budgeted profit of 15%)

Final Budget displays Sales, Variable Costs, and Contribution clearly.

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