Question Tag: Profit statements

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Lamiokor and Zenator are two divisions of Tsorkor group. Lamiokor division manufactures an intermediate product known as component A which has no external market. Zenator division incorporates this intermediate product, component A, into a final product that it sells to external customers. One unit of component A is used in the production of one unit of the final product. Lamiokor has quoted a transfer price of GH¢45 for each unit of component A.

The details of monthly production costs for each division are as follows:

Lamiokor Division:

  • Variable cost: GH¢15 per Component A
  • Product Specific Fixed Cost: GH¢50,000 (Incurred only by Lamiokor division and specifically for the production of Component A)

Zenator Division:

  • Variable cost: GH¢9 per unit
  • Product Specific Fixed Cost: GH¢75,000 (Cost incurred only by Zenator when converting component A to the final product)

The relationship between monthly external customer demand and selling price of the final product is as follows:

Month Demand (Units) Selling price per Unit (GH¢)
1 1,000 120
2 3,000 100
3 4,000 90
4 5,000 80
5 6,000 67

Required:
a) Explain FOUR (4) objectives of transfer pricing.

(4 marks)

b) Based on a transfer price of GH¢45 per component A, prepare the monthly profit statement for:
i) Lamiokor Division (6 marks)
ii) Zenator Division (6 marks)
iii) Tsorkor Group (4 marks)

 

a) The main objectives of a transfer pricing system:

  • To achieve goal congruence. The transfer prices should be such that actions that will increase a division’s reported profit will also have the effect of increasing the company’s reported profit. This maximizes the likelihood that the division managers will act in the company’s best interests.
  • To ensure that divisional autonomy is maintained. In principle, a company’s top management could simply issue precise instructions to divisions as to what goods to transfer to each other, in what quantities, and at what prices. However, most organizations prefer allowing divisional autonomy to harness the benefits it offers.
  • To ensure that the information provided (e.g., division Profit & Loss Accounts) is useful for evaluating the economic performance of divisions and the managerial performance of division managers.
  • Minimizing global tax liability. Companies can use transfer pricing to transfer profits and costs to other divisions internally to reduce their tax burden.

b)
i) Lamiokor Division:

Month Demand (Units) Transfer Price (GH¢) Variable Cost (GH¢) Contribution/Unit (GH¢) Total Contribution (GH¢) Fixed Cost (GH¢) Profit/Loss (GH¢)
1 1,000 45 15 30 30,000 50,000 (20,000)
2 3,000 45 15 30 90,000 50,000 40,000
3 4,000 45 15 30 120,000 50,000 70,000
4 5,000 45 15 30 150,000 50,000 100,000
5 6,000 45 15 30 180,000 50,000 130,000

ii) Zenator Division:

Month Demand (Units) Selling Price (GH¢) Variable Cost (GH¢) Transfer Price (GH¢) Contribution/Unit (GH¢) Total Contribution (GH¢) Fixed Cost (GH¢) Profit/Loss (GH¢)
1 1,000 120 9 45 66 66,000 75,000 (9,000)
2 3,000 100 9 45 46 138,000 75,000 63,000
3 4,000 90 9 45 36 144,000 75,000 69,000
4 5,000 80 9 45 26 130,000 75,000 55,000
5 6,000 67 9 45 13 78,000 75,000 3,000

iii) Tsorkor Group:

Month Demand (Units) Selling Price (GH¢) Variable Cost (GH¢) Contribution/Unit (GH¢) Total Contribution (GH¢) Fixed Cost (GH¢) Profit/Loss (GH¢)
1 1,000 120 24 96 96,000 125,000 (29,000)
2 3,000 100 24 76 228,000 125,000 103,000
3 4,000 90 24 66 264,000 125,000 139,000
4 5,000 80 24 56 280,000 125,000 155,000
5 6,000 67 24 43 258,000 125,000 133,000

Alternatively:
Adding the profits from both divisions:

Month Lamiokor Profit/Loss (GH¢) Zenator Profit/Loss (GH¢) Group Profit/Loss (GH¢)
1 (20,000) (9,000) (29,000)
2 40,000 63,000 103,000
3 70,000 69,000 139,000
4 100,000 55,000 155,000
5 130,000 3,000 133,000

Bosco Ltd makes and sells one product. Currently, it uses absorption costing to measure profits and inventory values. The budgeted production cost per unit is as follows:

Item Cost (GH¢)
Direct labour (3 hours at GH¢6 per hour) 18
Direct materials (4 kilograms at GH¢7 per kilo) 28
Production Overhead (Fixed cost) 20
Total Cost per Unit 66

Normal output volume is 16,000 units per year, and this volume is used to establish the fixed overhead absorption rate for each year. Costs relating to sales, distribution, and administration are:

  • Variable: 20% of sales value
  • Fixed: GH¢180,000 per year

There were no units of finished goods inventory on 1st October 2015. The fixed overhead expenditure is spread evenly throughout the year. The selling price per unit is GH¢140. For the two six-monthly periods detailed below, the number of units to be produced and sold are budgeted as follows:

Period Production (units) Sales (units)
Six months ending 31st March 2016 8,500 7,000
Six months ending 30th September 2016 7,000 8,000

The entity is considering whether to abandon absorption costing and use marginal costing instead for profit reporting and inventory valuation.

Required:

i) Calculate the budgeted fixed production overhead costs for each of the six-monthly periods. (3 marks)

ii) Prepare profit statements for management using:

  • Marginal costing
  • Absorption costing

(9 marks)

iii) Prepare an explanatory statement reconciling the profits under marginal costing with those of absorption costing.

(3 marks)

i) Budgeted Fixed Production Overhead Costs:

The budgeted fixed production overhead expenditure is calculated based on the normal output volume.

  • Normal production volume: 16,000 units per year
  • Fixed production overhead rate per unit: GH¢20
  • Total annual overhead cost: 16,000 units × GH¢20 = GH¢320,000
  • Fixed overhead per six-month period: GH¢320,000 / 2 = GH¢160,000

(3 marks)

ii) Profit Statements Using Marginal and Absorption Costing:

Marginal Costing Profit Statement:

Description Six months ending 31 March 2016 (GH¢) Six months ending 30 September 2016 (GH¢)
Sales (7,000 units @ GH¢140) 980,000 1,120,000
Less: Marginal Cost of Sales (7,000 units @ GH¢74) 518,000 592,000
Contribution 462,000 528,000
Less: Fixed Production Overheads 160,000 160,000
Less: Other Fixed Costs (Sales, Distribution, Admin) 90,000 90,000
Profit 212,000 278,000

Absorption Costing Profit Statement:

Description Six months ending 31 March 2016 (GH¢) Six months ending 30 September 2016 (GH¢)
Sales (7,000 units @ GH¢140) 980,000 1,120,000
Less: Cost of Sales (using absorption)
– Direct Costs (7,000 units @ GH¢66) 462,000 528,000
– Fixed Overhead Absorbed (Production) 170,000 (8,500 units @ GH¢20) 140,000 (7,000 units @ GH¢20)
Less: Under/(Over) Absorbed Overheads 10,000 (over-absorbed) (20,000) (under-absorbed)
Cost of Sales 518,000 572,000
Gross Profit 462,000 548,000
Less: Fixed Costs (Sales, Distribution, Admin) 286,000 314,000
Profit 242,000 258,000

(9 marks)

iii) Reconciliation of Profits Under Marginal and Absorption Costing:

The differences in reported profits between marginal costing and absorption costing arise from the treatment of fixed production overheads and changes in inventory levels.

Period Difference
Six months ending 31 March 2016 Increase in inventory (1,500 units × GH¢20) = GH¢30,000
Six months ending 30 September 2016 Decrease in inventory (1,000 units × GH¢20) = (GH¢20,000)

Reconciliation:

  • 31 March 2016: Absorption costing profit higher by GH¢30,000
  • 30 September 2016: Absorption costing profit lower by GH¢20,000

(3 marks)