Toolkit: the HL tools | IB DP Business Management

Home › Learning Hub › IB DP Business Management › The HL tools

These toolkit items are higher level only. They help managers weigh up change, schedule projects, understand national cultures, make costing decisions and forecast from data: force field analysis, Gantt charts, critical path analysis, Hofstede’s cultural dimensions, contribution and absorption costing, and simple linear regression. Porter’s generic strategies are on the first toolkit page; cost to make versus cost to buy is in 5.6.

🎯What you need to be able to do

HL Construct and interpret a force field analysis.
HL Interpret Gantt charts; complete and analyse critical path networks: earliest start times, latest finish times, the critical path, and free and total float.
HL Apply Hofstede’s cultural dimensions to organizations operating across cultures.
HL Use contribution and absorption costing in decisions such as special orders and closing a product line.
HL Interpret simple linear regression: scatter diagrams, the line of best fit, correlation and extrapolation.

📚The business management

Force field analysis

Developed by Kurt Lewin, force field analysis lists the driving forces for a change and the restraining forces against it, and scores each (for example 1 to 5). If driving forces outweigh restraining ones, the change is likely to succeed; managers can then strengthen drivers or weaken restraints (training to reduce resistance, see 2.1).

Limitations: scores are subjective; the forces are not independent; it simplifies a complex decision to a single sum.

Gantt charts

A Gantt chart is a bar chart showing each activity of a project against time, so managers can see what should happen when, which activities run in parallel, and whether the project is on schedule. It is easy to read but, on its own, does not show which activities depend on which.

Gantt chart over 14 weeks. A find and lease premises weeks 0 to 3; B fit out the shop weeks 3 to 7; C recruit staff weeks 3 to 5 with 4 weeks float; D order and receive stock weeks 7 to 12; E train staff weeks 5 to 8 with 4 weeks float; F launch and marketing weeks 12 to 14. A, B, D and F are critical. — Critical activities in red; dashed boxes show float.

Critical path analysis

Critical path analysis (CPA) models a project as a network of activities (arrows) and nodes (circles). Each node shows its number, the earliest start time (EST) of the activities that follow it and the latest finish time (LFT) of the activities that end at it.

ESTs: work left to right. EST = EST of the previous node + duration; where arrows meet, take the largest.
LFTs: work right to left. LFT = LFT of the next node − duration; where arrows split, take the smallest.
The critical path is the chain of activities with EST = LFT at every node: any delay to them delays the whole project.

In the exam you complete and analyse a given network (drawing one from scratch is not expected). Two kinds of float:

\[ \text{total float} = \text{LFT (end node)} - \text{duration} - \text{EST (start node)} \]

\[ \text{free float} = \text{EST (end node)} - \text{duration} - \text{EST (start node)} \]

Total float is how long an activity can be delayed without delaying the whole project; free float is how long it can be delayed without delaying the next activity.

Network of six nodes. A 3 weeks from node 1 to 2; B 4 from 2 to 3; C 2 from 2 to 4; D 5 from 3 to 5; E 3 from 4 to 5; F 2 from 5 to 6. Node values EST and LFT: 1: 0,0; 2: 3,3; 3: 7,7; 4: 5,9; 5: 12,12; 6: 14,14. Critical path A, B, D, F in red, 14 weeks. — Critical path A–B–D–F: 14 weeks.

At node 5, two arrows meet: via D, 7 + 5 = 12; via E, 5 + 3 = 8. Take the larger, 12. Working back, the LFT at node 4 is 12 − 3 = 9. Float for C = 9 − 2 − 3 = 4 weeks; total float for E = 12 − 3 − 5 = 4 weeks. Critical activities have zero float.

Free float differs: for C it is 5 − 2 − 3 = 0 (any delay to recruiting delays the start of training), while for E it is 12 − 3 − 5 = 4 weeks. The 4 weeks of total float are shared along the C–E chain.

Uses: shows the minimum project time, which activities to monitor closely, where resources can be moved from (activities with float), and helps JIT ordering. Limitations: durations are estimates; complex for large projects; it plans but does not guarantee the project runs to plan.

Hofstede’s cultural dimensions

Geert Hofstede identified six dimensions on which national cultures differ. They help explain management, communication and marketing problems in multinational companies, mergers and international marketing (2.5, 4.6).

Six scales: power distance from accepts equality to accepts hierarchy; individualism versus collectivism; motivation towards achievement and success, from achievement and competition to quality of life and caring; uncertainty avoidance, from comfortable with risk to avoids uncertainty; long-term versus short-term orientation; indulgence versus restraint. — The six dimensions as scales between two poles.

Power distance: how far less powerful people accept unequal power. High: respect for hierarchy, autocratic or paternalistic leadership.
Individualism versus collectivism: whether people look after themselves or belong to loyal groups. Collectivist cultures value team rewards and harmony.
Motivation towards achievement and success (formerly masculinity versus femininity): competition and success versus caring and quality of life.
Uncertainty avoidance: how uncomfortable people are with ambiguity; high scores prefer rules, plans and job security.
Long-term versus short-term orientation: persistence and saving for the future versus tradition and quick results.
Indulgence versus restraint: freedom to enjoy life versus control by strict social norms.

Limitations: generalizes about whole countries, ignoring regional and individual differences (Indonesia alone has hundreds of ethnic groups); based originally on one company’s employees; cultures change over time; risks stereotyping.

Contribution and absorption costing

Absorption (full) costing allocates all indirect (fixed) costs to products, for example in proportion to revenue or labour hours, to find each product’s profit. Contribution costing ignores fixed-cost allocation and judges each product by its contribution (revenue − variable costs), since fixed costs are paid whatever happens.

Closing a product line: if a product makes a positive contribution, dropping it lowers total profit unless its fixed costs also disappear or the capacity can be used for something better.
Special orders at a lower price: accept if price > variable cost, there is spare capacity, and regular customers will not demand the same price.
Make or buy: compare cost to make with cost to buy (5.6).

Simple linear regression

A scatter diagram plots two variables to see whether they are related. The line of best fit (regression line) y = a + bx summarizes the relationship and can be used to forecast. The correlation coefficient r runs from −1 to +1: close to +1 is a strong positive relationship, close to 0 is none.

Scatter diagram of monthly sales against advertising spending, seven points from 2 to 8 thousand dollars of advertising. The line of best fit is sales equals 20 plus 5 times advertising, with r equal to 0.99. The line is extended as a dashed line to a forecast of 70 thousand dollars of sales at 10 thousand of advertising: extrapolation beyond the data. — Forecasting beyond the data (extrapolation) is less reliable.

Limitations: correlation does not prove causation (sales and advertising may both rise in the high season); extrapolation assumes the relationship continues outside the data; outliers distort the line; other variables are ignored.

✏️Worked example

Ombak Boards sells three product lines. Longboards: revenue $120 000, variable costs $70 000. Shortboards: revenue $200 000, variable costs $90 000. Kids’ boards: revenue $40 000, variable costs $30 000. Fixed costs of $150 000 are allocated by revenue. (a) Calculate each line’s profit under absorption costing. (b) Should Ombak drop kids’ boards? (c) A hotel offers to buy 50 shortboards at $450 each (normal price $800, variable cost $300); Ombak has spare capacity. Should it accept?

(a) Total revenue = 360 000. Fixed cost shares: longboards 150 × 120/360 = 50; shortboards 83.3; kids 16.7 ($000). Profit: longboards 50 − 50 = 0; shortboards 110 − 83.3 = 26.7; kids 10 − 16.7 = −6.7. Total = $20 000.

(b) Kids’ boards make a contribution of $10 000. If dropped, the $150 000 fixed costs remain and total profit falls to 160 − 150 = $10 000. Keep them, unless the capacity can earn more elsewhere; they may also build loyalty with families who later buy adult boards.

(c) Contribution per board = 450 − 300 = $150; 50 × 150 = $7500 extra profit, so accept on financial grounds, provided regular customers do not learn of the discount and demand it, and the boards do not damage the premium brand.

Check it. Total contribution 50 + 110 + 10 = 170; minus fixed costs 150 = 20, the same total as the absorption table. Allocation moves profit between products; it never changes the total.

Dropping a product because absorption costing shows a loss. The loss may be created by the allocation method; look at contribution first.

📝Practise

Work through these on paper, then reveal the answer.

1. [2 marks] Define the term critical path.

The sequence of activities with zero float that determines the minimum time to complete a project; a delay to any of them delays the project.

2. [2 marks] An activity lasts 4 days, starts at a node with EST 6 and ends at a node with LFT 13. Calculate its total float.

13 − 4 − 6 = 3 days.

3. [2 marks] Using the regression line sales = 20 + 5 × advertising ($000), forecast sales at $6500 of advertising.

20 + 5 × 6.5 = 52.5, so $52 500 (within the data range, so reasonably reliable).

4. [4 marks] Explain how Hofstede’s power distance dimension could cause problems when a Dutch company takes over an Indonesian firm.

Indonesian workplaces tend to have higher power distance: staff expect clear direction and respect for seniority. Dutch managers may expect staff to challenge them and take initiative (low power distance). Staff may be reluctant to speak up in meetings, which managers read as lack of engagement, while staff may see informal managers as weak; communication and motivation suffer unless managers adapt.

5. [4 marks] Explain two conditions under which a business should accept a special order below its normal price.

(1) The price is above variable cost, so the order makes a positive contribution. (2) There is spare capacity, so regular orders are not displaced, and the lower price will not spread to regular customers or damage the brand.

6. [10 marks] Using force field analysis, discuss whether a family-owned hotel should introduce performance-related pay.

Driving forces: motivate staff with money (Taylor), reward the best performers, link pay to guest reviews, attract talent.

Restraining forces: hard to measure individual performance in teamwork-based service; staff may see it as unfair; collectivist culture may prefer team rewards; administration cost; could harm cooperation; family owners’ paternalistic style.

Judgment: score the forces from the case; if restraints dominate, a team bonus linked to guest satisfaction may achieve the aim with less resistance. Scores are subjective, so involve staff in the analysis.

🔗Go deeper — other people’s work

These are external resources, not mine. If one stops working, tell me and everything above it on this page still stands.

The Culture Factor (Hofstede Insights) — its country comparison tool shows the dimension scores for any two countries.
Mind Tools — force field analysis and Gantt charts.
Khan Academy — scatter plots, lines of best fit and correlation.