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Francois French manufactures cheese, which he normally sells at €20/kg, on which

ID: 2410091 • Letter: F

Question

Francois French manufactures cheese, which he normally sells at €20/kg, on which sales commission of 5% is paid. Plant capacity is 7,500 kg/month. Income tax is levied at 30%.

Fixed costs

Costs per kg.

Plant depreciation

€8,000

Direct materials

€4

Other plant costs

15,000

Direct labor

2

Corporate salaries

10,000

Var. factory O/H

3

Advertising

3,000

The number of kilograms to sell to break-even is:

3,273

3,600

3,000

2,300

none of the above

Fixed costs

Costs per kg.

Plant depreciation

€8,000

Direct materials

€4

Other plant costs

15,000

Direct labor

2

Corporate salaries

10,000

Var. factory O/H

3

Advertising

3,000

Explanation / Answer

B. 3,600

Break-even quantity = Total Fixed Costs/Contribution margin per unit

= €36,000/€10 = 3,600 kgs

Contribution margin per unit = Price - (Dir Mat + Dir Lab + Var OH) - Sales commission

= €20 - (€4 + €2 + €3) - 5% × €20 = €10

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