📘 CodingMarble Learn

Performance Measurement

A large firm is split into units, and each boss is judged by what the boss controls. A cost centre is judged on cost against budget. A profit centre is judged on profit. An investment centre is judged on profit compared with the money invested: ROI = profit ÷ investment × 100. Residual income = profit - a charge for the capital used. A balanced scorecard adds non-money views such as customers, processes and learning.

🎬 Step-by-step story

  1. A firm is split into units. Three kinds: a cost centre, a profit centre and an investment centre. Each has its own boss.
  2. Cost centre: it earns nothing directly, so it is judged on cost. Cost is $60k and the budget line is $50k. Over budget.
  3. Profit centre: its boss controls revenue and cost. Revenue $100k minus cost $70k leaves a profit of $30k.
  4. Investment centre: it also controls the money invested. Profit $20k on $100k invested gives ROI = 20%.
  5. A second investment centre Y earns more profit ($30k) but uses $250k. Its ROI is only 12%. Bigger profit is not always better.
  6. Free play: change X profit and X invested. Watch ROI and residual income move.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Why have different kinds of centres?

Managers control different things. Judging them by something they cannot control is unfair.

Why is a cost centre judged by cost?

It brings in no sales itself, so the fair test is whether it kept to budget. The bar is above the line, so it overspent.

How is a profit centre different?

Its manager controls both revenue (blue) and cost (red), so profit is the gap between them.

Why do we divide profit by investment?

The same profit means more if less money was used. ROI shows profit per dollar invested.

Y makes more profit. Why is it called weaker?

It used much more capital. Per dollar invested, X earns 20 cents and Y only 12 cents.

What happens to ROI if investment rises but profit stays?

ROI falls. Move the invested slider up and watch the percentage drop.

Corporate organisational structure

A big firm is split into responsibility centres, each with a manager who is answerable for results. The firm may be arranged by function (production, sales, finance), by product, or by region. At the top is the head office; under it are divisions or departments.

Fair judging rule: do not blame a manager for what he or she cannot control.

Methods of performance measurement

Cost centre: compare actual cost with budget. Over budget = unfavourable.

Profit centre: profit = revenue - cost, also compared with budget.

Investment centre has two money measures:

Why ROI alone can mislead

A manager with a high ROI may refuse a new project that earns 12% if the division now earns 20%, because it would pull the average down. But if the firm needs only 8%, the project is good for the firm. RI fixes this: any project that earns more than the required rate adds positive RI. That is why many firms use both.

Balanced scorecard: more than money

Money numbers look backward. The balanced scorecard adds four views: finance, customers, internal processes, and learning and growth. For each view the firm picks a few measures, such as profit growth, customer satisfaction, defect rate and training hours. This shows if the firm is building future strength, not just today's profit.

Key formulas and definitions

Worked examples

1. A cost centre had a budget of $50k and actual cost $60k. Find the variance.

60 - 50 = $10k over budget (unfavourable).

2. A shop has revenue $100k and cost $70k. Find its profit.

100 - 70 = $30k.

3. Division X: profit $20k, investment $100k. Find ROI.

ROI = 20 ÷ 100 × 100 = 20%.

4. Required rate is 8%. Find the residual income of X (profit $20k, investment $100k) and Y (profit $30k, investment $250k).

X: 20 - 100 × 0.08 = 20 - 8 = $12k. Y: 30 - 250 × 0.08 = 30 - 20 = $10k. X has higher RI.

5. Y has ROI 12%. The firm needs 8%. Should Y's manager be praised or blamed? Why?

Y earns above the 8% needed, so RI is positive ($10k). It is adding value, even though its ROI is lower than X.

Common mistakes

Practice quiz

1. A centre whose manager controls only cost is a:
2. ROI =
3. Profit $40k on investment $200k gives ROI of:
4. Residual income is profit minus:
5. The balanced scorecard has how many classic views?

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

What is a responsibility centre?

A part of a firm whose manager is answerable for certain results, such as cost, profit or return on investment.

What is the difference between ROI and residual income?

ROI is a percentage. Residual income is an amount of money left after charging for the capital used. RI avoids rejecting good projects just to protect a high percentage.

Why do firms use a balanced scorecard?

Money measures show the past. The scorecard adds customers, processes and learning, which shape future profit.

Where this is taught

Japan高校(専門学科)1〜3年Management Accounting

Learn first

Learn next

Related lessons

All Accountancy lessons