question archive A company produces and sells a single product, the standard unit cost details of which are as follows: Direct material 2 kilos x $4

A company produces and sells a single product, the standard unit cost details of which are as follows: Direct material 2 kilos x $4

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A company produces and sells a single product, the standard unit cost details of which are as follows:

Direct material 2 kilos x $4.5 per kilo

Direct labour 3 hours x $5 per hour

Variable overhead 3 hours x $3 per hour

 

The total fixed overhead is budgeted at $90,000 per month and is absorbed on a rate per unit basis.

The budgeted output per month is 15,000 units.

The product has a standard selling price of $50 per unit.

 

The following activity took place during January and February:

 

January         February

Sales              14,000 units 16,000 units

Production    16,000 units 14,500 units

There is an opening stock on 1 January of 3,000 units.

Required:

(a) Calculate the standard cost and profit for one unit of output.

(b) Prepare profit statements for each month using:

(i) marginal costing

(2) absorption costing

(c) Prepare a statement reconciling the marginal with the absorption profit for the month. 

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Answer:

Sales =14000 For January and 16000 For February

Production units = 16000units january 14500 units February

Calculation of Closing Stock units

Particulars January February
Opening Stock 3000 5000
Production 16000 14500
Sales 14000 16000
Closing Stock 5000 3500

a) Calculation of total Cost and Profit for One Unit of Out Put

Fixed Overheads are Obsorbed Based On Budgeted Out put = 15000

So Fixed Overhead Per unit = 90000/15000 =6

Particulars Amount
Sale price 50
Less:  
Varible Cost Per unit  
Direct Material 9
Direct Labour 15
Varible Overheadss 9
Fixed Overheads 6
Total Cost per unit 39
Profit Per unit 11

Standard Cost per unit =39

Standard Profit Per unit =11

b)

Profit Statements under Marginal And Absorption Costing Methods

Calculation of Marginal Cost & Profit
Particulars january February
Sales 14000 16000
Selling Price Per Unit 50 50
Sales Total 700000 800000
Varible Cost per unit    
Direct Materials 9 9
Direct Labour 15 15
Varible Overheadss 9 9
Total Varible Cost Per unit 33 33
Contribution Per unit 17 17
Total Contribution 238000 272000
Less:    
Fixed Cost 90000 90000
Marginal Profit 148000 182000

Calculation of total Cost and Profit under Absorption Costing Methods

Particulars january February
Sales 14000 16000
Selling Price Per Unit 50 50
Sales Total 700000 800000
Total Manufacturing Cost    
Toal Varible cost Perunit 33 33
Total Varible Cost 528000 478500
Fixed Manufacturing Cost 90000 90000
Total Manufacturing Cost 618000 568500
Add Opening Stock 115875 193125
Less Closing Stock 193125 137224.14
Total Cost Of Production 540750 624400.86
Absorption Profit(Sales - Total Cost) 159250 175599.14

c) Reconcilation Between Marginal Costing and Absorption Costing

Statement Of Reconcilation
Particulars january February
     
Profit as Per Marginal Costing 148000 182000
Less : Increase In Varible Cost As Per Absorption cost 66000  
Add : Decrese in Varible Cost as Per Absorption Costing   49500
Add : Value Of Closing Stock in Absorption Costing 193125 137224.1379
Less: Value of Opening Stock 115875 193125
Profit As Per Absorption Costing 159250 175599.14