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Get set for an activity in cost allocation

P. V. Rathnam

MST Ltd has collected the data shown in Table 8 for its two activities. It calculates activity cost rates based on cost driver capacity.

The company makes three products, M, S and T, for the year ended March 31, 2004, and the consumption of cost drivers is reported in Table 9.

Required: a) Compute the costs allocated to each product from each activity; b) Calculate the cost of unused capacity for each activity; and c)

Discuss the factors the management considers in choosing a capacity level to compute the budgeted fixed overhead cost rate.

The computation of the costs allocated is shown in Table 10.

Cost of unused capacity:

Power: Capacity — 50000 kWh

Less: Used — 45,000 kWh (90 per cent)

Unused capacity — 5,000 kWh at Rs 4 = Rs 20,000

(that is, Rs 2,00,000 - Rs 1,80,000 = Rs 20,000)

Quality inspections:

Capacity — 10,000 kWh

Less: Used — 9,000 (90 per cent)

Unused capacity — 1,000 kWh at Rs 30 = Rs 30,000

(that is, Rs 3,00,000 - Rs 2,70,000 = Rs 30,000)

Total installed capacity should not be taken into account. Normal capacity, that is, achievable capacity, is to be taken into account for computing the budgeted fixed overhead cost rate.

Process costing

JKL Ltd produces two products — J and K — together with a by-product L from a single main process (process I). Product J is sold at the point of separation for Rs 55 per kg, whereas product K is sold for Rs 77 a kg after further processing into product K2. By-product L is sold without further processing for Rs 19.25 per kg.

Process I is closely monitored by a team of chemists who planned the output per 1,000 kg of input materials to be as follows: Product J — 500 kg;

Product K — 350 kg; Product L — 100 kg; and toxic waste — 50 kg.

The toxic waste is disposed at a cost of Rs 16.50 per kg, and arises at the end of processing.

Process II, which is used for further processing of product K into product K2, has the following cost structure:

Fixed costs — Rs 2,64,000 per week; variable cost — Rs 16.50 per kg processed.

The following actual data relate to the first week of the month:

Process I: Opening work-in progress — nil

Material input — 40,000 kg costing Rs 6,60,000

Direct labour — Rs 4,40,000

Variable overheads — Rs 1,76,000

Fixed overheads — Rs 2,64,000

Output: Product J — 19,200 kg; Product K — 14,400 kg; Product L — 4,000 kg; toxic waste — 2,400 kg; closing work-in-progress — nil.

Process II: Opening work-in-progress — nil; input of product K — 14,400 kg; output of product K — 213,200 kg; closing work-in-progress (50 per cent converted and conversion costs were incurred in accordance with the planned cost structure) — 1,200 kg

Required: Prepare Process I account for the first week of the month using the final sales value method of attribute, the pre-separation costs to join products. Prepare the toxic waste account and Process II account for the first week of the month.

Comment on the method used by the JKL Ltd to attribute the pre-separation costs to joint products. Advise the management of JKL Ltd whether or not, on purely financial grounds, it should continue to process product K into product K2: If product K could be sold at the point of separation for Rs 47.30 per kg; and

If the 60 per cent of the weekly fixed costs of Process II were avoided by not processing product K further.

Answer: i) Process I A/c is presented in Table 11.

WN1: Cost per kg = total cost - value of normal waste / input quantity - normal loss quantity

1540000 - 33000 / 40000 - 2000 = Rs 39.6579

Value of abnormal loss = 400 x 39.6579 = Rs 15863

WN2: Pre-separation cost:

Total amount = Rs 15,40,000

Less: Value of normal waste = (-) 33,000

Value of abnormal waste = (-) 15,863

Pre-separation cost = Rs 14,91,137

Final sales value:

Product J — 19,200 kg at Rs 55 = Rs 10,56,000

Product K — 2,13,200 kg at Rs 77 = Rs 10,16,400

By-product L — 4,000 kg at Rs 19.25 = Rs 77,000

Total = Rs 21,49,400

Apportionment of pre-separation cost in proportion to final sales value:

Product J: 14,91,137 x 10,56,000 / 21,49,400 = Rs 7,32,595

Product K: 14,91,137 x 10,16,400 / 21,49,400 = Rs 7,05,123

By-product L: 14,91,137 x 77,000 / 21,49,400 = Rs 53,419

Total = Rs 14,91,137

ii) The toxic waste (normal) account, the abnormal toxic waste account and the Process II account are presented in Tables 12, 13 and 14.

WN3: Value of closing WIP:

Fixed cost: 2,64,000 / 14,400 = Rs 18.333 per kg

Add variable cost = Rs 16.50 per kg

Conversion cost = Rs 34.833 per kg

50 per cent of 1200 = 600 kg at Rs 34.833 = Rs 20,900

iii) Comments: The method used by JKL Ltd is not appropriate. Instead of taking the final sales of value of Product K2, the company should have adopted the sales value of product K at the point of separation which is at Rs 47.30 per kg, that is, 14,400 x 47.30 = Rs 6,81,120 should have been taken into account.

iv) Advice: Sales value of K2 =13,200 x 77= Rs 10,16,400

Cost of output of K2 = Rs 11,85,823

Loss: Rs 1,69,423

Sales value of K = 14,400 x 47.30 = Rs 6,81,120

Add: Savings in Process II — 60 per cent of Rs 2,64,000 = Rs 1,58,400

Total income = Rs 8,39,520

Cost of output of K = Rs 7,05,123

Profit = Rs 1,34,397

On purely financial grounds, the company should not process Product K into Product K2, because it will result in a loss of Rs 1,69,423.

Working capital computation

THE annual figures shown in Table 18 relate to MNP Ltd. The company sells its products on a gross profit of 25 per cent assuming depreciation as a part of cost of production.

It keeps two month's stock of finished goods and one month's stock of raw materials as inventory. It keeps cash balance of Rs 2,50,000. Assume a 5 per cent safety margin, work out the working capital requirements of the company on cash-cost basis. Ignore work-in-progress.

Answer: WN1: The annual figures of MNP Ltd is shown in Table 19, and the working capital requirement (cash-cost basis) in Table 20.

Note: A similar question was asked in the May 1990 CA (Final) exam.

Suggested answers to the May 2004 CA (PE II) paper on cost accounting and financial management.

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