Monthly Financial Data and Break-Even Analysis

Classified in Mathematics

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Monthly Financial Data

9001000125014001500750
JulyAugustSeptemberOctoberNovemberDecember
Sales per Unit (£50)450005000062500700007500037500
Purchases per Unit (£24)216002400030000336003600018000

Receipts

Opening Balance10000(1650)210056501250021250
Cost of Sales (40%)180002000025000280003000015000
Credit Sales (60%)2700030000375004200045000
Total Receipts280004535057100711508450081250

Payments

Purchases Cash (50%)10800120001500016800180009000
Purchases Credit (50%)1080012000150001680018000
Direct Labour per Unit (£13)11700130001625018200195009750
Variable Overheads per Unit (£3)270030003750420045002250
Selling and Distribution Costs800800800800800800
Supervisor Salary180018001800180018001800
Fixed Production Costs185018501850185018501850
Total Payments296504325051450586506325043450
Closing Balance(1650)21005650125002125037800

Break-Even Analysis

Total Fixed Costs: 800 + 1800 + 2150 = 4750

Note: Components from table are Selling and Distribution (800), Supervisor Salary (1800), and Fixed Production Costs (1850). The source calculation uses 2150 for the third component.

Selling Price (SP): £50 per unit

Variable Cost per Unit (VC): Direct Labour (£13) + Variable Overheads (£3) + Purchases (£24) = £40

Contribution Margin per Unit: SP - VC = £50 - £40 = £10

Break-Even Point (BEP) in Units: Total Fixed Costs / Contribution Margin per Unit = 4750 / 10 = 475 units

Break-Even Sales Revenue: BEP in Units * SP = 475 units * £50 = £23750

Break-Even Point Over 6 Months

Total BEP Units over 6 months = BEP in Units * 6 months = 475 units * 6 = 2850 units

Sales Revenue for 6-month BEP = Total BEP Units over 6 months * SP = 2850 units * £50 = £142500

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