TestAS · Economics
Accounting, costs and prices, investment, depreciation, operations and organisation. Typical tasks: compute a ratio from a balance sheet or find a break-even point.
testas.de lists this topic for the Economics module. In the test it comes as testlets: a short text, table or formula, then 4 to 8 questions you answer from it.
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Full exam-length testlets from the Kollego course, generated the same way as our mocks. Answer from the material, then open each answer to check.
Make or buy?
Many firms must decide whether to produce a component themselves or to buy it from a supplier. This make-or-buy decision depends on costs, but also on quality, reliability, know-how and flexibility. The cost comparison uses the distinction between fixed and variable costs. Producing in-house usually requires fixed costs for machines, space and specialised staff, but the variable cost per unit may be low. Buying requires no fixed costs, but each unit costs the supplier's price, which includes the supplier's own costs and profit.
For small quantities, buying is typically cheaper, because the fixed costs of in-house production would be spread over only a few units. For large quantities, making becomes cheaper, because the lower variable cost saves more than the fixed costs. The quantity at which both options cost the same is the critical quantity, a kind of break-even point between two alternatives. It is found by setting the total costs of both options equal.
fixed costs (make) + variable cost (make) × Q = purchase price × Q critical quantity Q* = fixed costs ÷ (purchase price − variable cost of making)
The calculation is only part of the decision. Only costs that actually change with the decision should be considered: a machine that the firm already owns and cannot sell does not cause additional fixed costs, even though its depreciation appears in the accounts. Buying from outside may free capacity that can be used for more profitable products, which is an opportunity cost of making. On the other hand, relying on a single supplier creates dependence: if the supplier raises prices, delivers late or goes out of business, production may stop. Firms therefore also consider whether a component is part of their core competence, whether its quality is critical, and whether keeping the know-how in-house is strategically important. Contracts with several suppliers can reduce the risk of dependence.
In recent years, many firms have reconsidered outsourcing decisions after disruptions of global supply chains showed the risks of long transport routes and concentrated suppliers.
A manufacturer of bicycles needs a special gear component. It can produce it in-house or buy it from a supplier. Expected demand is 12,000 units per year.
| Option | Fixed costs per year | Variable cost per unit |
|---|---|---|
| Make in-house | 90,000 euros | 14 euros |
| Buy from supplier | 0 euros | 20 euros |
1. What is the critical quantity at which both options cost the same?
C: 15,000 units
Critical quantity = fixed costs / (purchase price − variable cost of making) = 90,000 / (20 − 14) = 90,000 / 6 = 15,000 units.
2. What would in-house production of 12,000 units cost per year?
D: 258,000 euros
Making = fixed costs + variable cost × quantity = 90,000 + 14 × 12,000 = 90,000 + 168,000 = 258,000 euros.
3. Which option is cheaper at the expected demand of 12,000 units?
A: Buying, by 18,000 euros
Buying: 20 × 12,000 = 240,000. Making: 258,000. Buying is cheaper by 258,000 − 240,000 = 18,000 euros, as expected below the critical quantity of 15,000.
4. Demand rises to 20,000 units. Which option is cheaper then?
C: Making, by 30,000 euros
Making: 90,000 + 14 × 20,000 = 370,000. Buying: 20 × 20,000 = 400,000. Making is cheaper by 30,000 euros, since 20,000 is above the critical quantity.
5. The firm already owns an unused machine that cannot be sold, which would cover 40,000 euros of the fixed costs. What is the new critical quantity?
A: About 8,333 units
The text says a machine the firm already owns and cannot sell causes no additional fixed costs. Relevant fixed costs = 90,000 − 40,000 = 50,000. New critical quantity = 50,000 / 6 ≈ 8,333 units.
6. Which non-cost argument speaks for making the component in-house?
D: Keeping critical know-how and avoiding dependence on one supplier
The text warns that relying on one supplier creates dependence and that keeping know-how in-house can be strategically important. Both are reasons to make the part, not cost reasons.
Income statement and balance sheet of a small firm
Every company prepares two basic financial statements. The balance sheet is a snapshot at a particular date. On one side it lists the assets, everything the firm owns or is owed, such as buildings, machines, inventory, amounts customers still owe (receivables) and cash. On the other side it shows how these assets are financed: by the owners' capital (equity) and by debts to others (liabilities), such as bank loans and amounts owed to suppliers (payables). Both sides are always equal, because every asset is financed somehow.
assets = equity + liabilities
The income statement, also called the profit and loss account, covers a period, usually a year. It starts with revenue, the value of goods and services sold, and subtracts expenses. Deducting the cost of the goods sold gives the gross profit. Deducting operating expenses such as salaries, rent and depreciation gives the operating profit, often called EBIT (earnings before interest and taxes). Subtracting interest gives the profit before tax, and subtracting income tax gives the net profit. The net profit increases equity on the balance sheet unless it is paid out to the owners.
Profit and cash are not the same. Revenue is recorded when goods are delivered, even if the customer pays later, so a firm can report a profit while running short of cash. Conversely, buying a machine uses cash immediately but appears in the income statement only gradually, as depreciation over its useful life.
Many transactions change the balance sheet without affecting profit. Buying a machine for cash exchanges one asset for another; taking out a bank loan increases cash and liabilities by the same amount. The totals on each side change only when both sides are affected.
In Germany, the rules for these statements are set by the Commercial Code (HGB), while listed groups use international standards (IFRS). Both rest on the principle of double-entry bookkeeping, in which every transaction is recorded twice, once on each side of an account, which keeps the balance sheet in balance. Larger companies must have their annual statements checked by an independent auditor.
| Item | Amount |
|---|---|
| Revenue | 800 |
| Cost of goods sold | 480 |
| Operating expenses (salaries, rent etc.) | 200 |
| Depreciation | 40 |
| Interest | 10 |
| Income tax rate | 30% of profit before tax |
| Assets | Equity and liabilities | ||
|---|---|---|---|
| Machines and buildings | 400 | Equity | 300 |
| Inventory | 120 | Long-term bank loan | 250 |
| Receivables | 80 | Payables to suppliers | 100 |
| Cash | 50 |
1. What is the gross profit?
A: EUR 320 thousand
The text says deducting the cost of goods sold from revenue gives gross profit. Table: revenue 800 − cost of goods sold 480 = EUR 320 thousand.
2. What is the operating profit (EBIT)?
A: EUR 80 thousand
EBIT = gross profit − operating expenses − depreciation (the text lists depreciation among operating expenses). 320 − 200 − 40 = EUR 80 thousand.
3. What is the net profit?
A: EUR 49 thousand
Profit before tax = EBIT − interest = 80 − 10 = 70. Tax = 30% × 70 = 21. Net profit = 70 − 21 = EUR 49 thousand.
4. What share of total assets is financed by equity?
C: About 46%
Total assets = 400 + 120 + 80 + 50 = 650. Equity is 300, so its share = 300 / 650 ≈ 0.46, about 46%. Check: equity + loan + payables = 300 + 250 + 100 = 650.
5. The firm buys a new machine for EUR 30 thousand in cash. What happens to total assets?
A: They stay the same
The text says buying a machine for cash exchanges one asset for another. Cash falls by 30 and machines rise by 30, so total assets stay at 650.
6. Why can a profitable firm run out of cash?
C: Revenue is booked before customers actually pay
The text says revenue is recorded when goods are delivered, even if the customer pays later. So profit can include sales that have not yet brought in cash, and the firm can run short of cash.
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