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Enola, SA., manufactures a product that sells for £500. The variable costs per u

ID: 2575543 • Letter: E

Question

Enola, SA., manufactures a product that sells for £500. The variable costs per unit are: Direct materials £100; Direct labour £80 and Variable manufacturing overhead £50. During the year, the budgeted fixed manufacturing overhead is estimated to be £500,000, and budgeted fixed selling and administrative costs are expected to be £250,000. Variable selling costs are £20 per unit. The number of units that must be sold to earn £300,000 in profit before taxes is

Select one:

a. 4,000 units

b. 4,400 units

c. 4,300 units

d. 4,100 units

e. 4,200 units

Explanation / Answer

Total variable costs per unit

= Direct materials + Direct labor + Variable manufacturing overhead + Variable selling costs

= £100 + £80 + £50 + £20

= £250

Contribution margin per unit

= Selling price per unit – Variable costs per unit

= £500 - £250

= £250 per unit

Total fixed costs

= Fixed manufacturing overhead + Fixed selling and administrative overhead

= £500,000 + £250,000

= £750,000

Number of units required to be sold to earn a target profit

= (Fixed costs + Target profit) / Contribution margin per unit

= (£750,000 + £300,000) / £250

= 4200 units

So, option e is the correct option