📚 Year 11 Edexcel Business: Formula & Theorem Quick Reference Guide | Year 11 Edexcel 商务：公式定理速查手册
This quick reference handbook brings together every essential formula and key theoretical model you need for the Year 11 Edexcel Business course. From breakeven calculations and profitability ratios to decision trees and the Boston Matrix, each concept is explained with clear equations, step‑by‑step applications, and practical examples. Use this guide to revise efficiently, solve quantitative problems confidently, and sharpen your understanding of how businesses use data and models to make decisions.
本速查手册汇集了 Year 11 Edexcel 商务课程中所有核心公式与关键理论模型。从盈亏平衡计算、盈利能力比率到决策树和波士顿矩阵，每个概念都配有清晰的公式、应用步骤和实例讲解。用这本手册高效复习，自信解决定量题目，并加深理解企业如何运用数据和模型进行决策。
1. Cost, Revenue and Profit | 成本、收入与利润
Total costs are the sum of all fixed and variable costs incurred by a business. Fixed costs (e.g. rent, salaries) do not change with output in the short term, while variable costs (e.g. raw materials) rise directly as production increases. Total revenue is selling price multiplied by the number of units sold. Profit is the reward for risk‑taking and is calculated by subtracting total costs from total revenue.
总成本是企业发生的全部固定成本与变动成本之和。固定成本（如租金、工资）短期内不随产量变化，而变动成本（如原材料）随着生产量的增加直接上升。总收入等于销售价格乘以销售数量。利润是对承担风险的回报，由总收入减去总成本得出。
Total Costs (TC) = Fixed Costs (FC) + Variable Costs (VC)
总成本 = 固定成本 + 变动成本
Revenue = Selling Price × Quantity Sold
收入 = 销售价格 × 销售数量
Profit = Total Revenue – Total Costs
利润 = 总收入 – 总成本
A business making a loss can survive in the short term if it covers its variable costs and contributes towards fixed costs. Understanding the split between fixed and variable costs helps managers make pricing and output decisions.
如果企业能覆盖变动成本并补偿部分固定成本，短期亏损仍可维持生存。理解固定与变动成本的划分有助于管理者进行定价和产量决策。
2. Breakeven Analysis | 盈亏平衡分析
The breakeven point is the level of output at which total revenue exactly equals total costs – the business makes neither a profit nor a loss. It is a vital tool for assessing the minimum sales needed to avoid a loss and for setting targets.
盈亏平衡点是指总收入恰好等于总成本的产量水平——企业既不盈利也不亏损。它是评估最低必要销量以避损并设定目标的重要工具。
Breakeven Output (units) = Fixed Costs ÷ (Selling Price per unit – Variable Cost per unit)
盈亏平衡产量 = 固定成本 ÷ (单位售价 – 单位变动成本)
The denominator is called contribution per unit. Contribution is the amount each unit sold contributes towards covering fixed costs and then generating profit.
分母称为单位贡献。贡献是每售出一单位产品用于弥补固定成本并产生利润的金额。
Contribution per unit = Selling Price – Variable Cost per unit
单位贡献 = 售价 – 单位变动成本
Managers also use the margin of safety, which shows how far sales can fall before the business reaches its breakeven point.
管理者还会使用安全边际，它显示在达到盈亏平衡点之前销售额可以下降的幅度。
Margin of Safety (units) = Actual Sales – Breakeven Sales
安全边际 = 实际销量 – 盈亏平衡销量
Breakeven charts are often drawn to visualise these relationships clearly. Edexcel questions may require you to read values from a chart or construct a simple breakeven chart.
通常绘制盈亏平衡图以直观显示这些关系。Edexcel 考题可能要求从图表中读取数值或绘制简单的盈亏平衡图。
3. Profitability Ratios | 盈利能力比率
Profitability ratios measure a business’s ability to generate profit relative to its revenue, assets or equity. The three key ratios for Year 11 are gross profit margin, net profit margin and return on capital employed (ROCE).
盈利能力比率衡量企业相对于收入、资产或权益创造利润的能力。Year 11 需要掌握的三个关键比率是毛利率、净利率和已动用资本回报率。
Gross Profit Margin (%) = (Gross Profit ÷ Revenue) × 100
毛利率 = (毛利 ÷ 收入) × 100
Gross profit is revenue minus cost of sales. This margin shows how efficiently a business turns raw materials into output.
毛利是收入减去销售成本。该比率显示企业将原材料转化为产出的效率。
Net Profit Margin (%) = (Net Profit ÷ Revenue) × 100
净利率 = (净利润 ÷ 收入) × 100
Net profit is profit after all expenses, including overheads and interest. It reveals overall expense control.
净利润是扣除包括管理费用和利息在内的全部支出后的利润。它反映整体的费用控制能力。
ROCE (%) = (Net Profit ÷ Capital Employed) × 100
已动用资本回报率 = (净利润 ÷ 已动用资本) × 100
Capital employed is total equity plus non‑current liabilities, representing the long‑term funds invested. A higher ROCE signals more efficient use of investors’ money.
已动用资本等于总权益加上非流动负债，代表投入的长期资金。ROCE 越高，表明投资者的资金运用效率越高。
4. Liquidity Ratios | 流动性比率
Liquidity ratios assess whether a business can meet its short‑term debts as they fall due. The two main ratios are the current ratio and the acid test (quick) ratio.
流动性比率评估企业是否有能力偿还到期的短期债务。两个主要比率是流动比率和酸性测试（速动）比率。
Current Ratio = Current Assets ÷ Current Liabilities
流动比率 = 流动资产 ÷ 流动负债
A ratio of 1.5:1 to 2:1 is often considered healthy. Too low means possible cash flow trouble; too high suggests inefficient use of assets.
通常认为 1.5:1 至 2:1 的比率为健康水平。过低意味着可能出现现金流问题；过高则表明资产利用效率低下。
Acid Test Ratio = (Current Assets – Inventories) ÷ Current Liabilities
速动比率 = (流动资产 – 存货) ÷ 流动负债
Inventories are excluded because they may take time to sell and convert into cash. A ratio around 1:1 is usually satisfactory, but it varies by industry.
存货被剔除是因为变现需要时间。速动比率约 1:1 通常满意，但不同行业有所差异。
Liquidity shortages can lead to insolvency, so lenders and suppliers monitor these figures closely.
流动性短缺可能导致破产，因此贷款方和供应商会密切关注这些数据。
5. Efficiency Ratios | 效率比率
Efficiency ratios indicate how well a business manages its inventories and trade payables/receivables. The rate of inventory turnover and the trade payables/receivables days are key.
效率比率反映企业管理存货及应付/应收账款的状况。存货周转率和应付/应收账款周转天数是关键指标。
Inventory Turnover (times) = Cost of Sales ÷ Average Inventories
存货周转次数 = 销售成本 ÷ 平均存货
A higher turnover means stock is sold quickly, reducing holding costs and the risk of obsolescence.
周转次数越高，表明存货售出越快，降低了持有成本和过时风险。
Trade Payables Days = (Trade Payables ÷ Cost of Sales) × 365
应付账款周转天数 = (应付账款 ÷ 销售成本) × 365
Longer payables days can improve cash flow but may harm supplier relationships. The receivables days formula follows a similar logic.
应付账款天数较长能改善现金流，但可能损害供应商关系。应收账款周转天数公式同理。
Trade Receivables Days = (Trade Receivables ÷ Revenue) × 365
应收账款周转天数 = (应收账款 ÷ 收入) × 365
Shorter receivables days indicate that customers pay promptly, boosting cash inflow.
应收账款天数越短，说明客户付款及时，现金流入增加。
6. Average Rate of Return (ARR) | 平均回报率
ARR is an investment appraisal method that compares the average annual profit of a project to its initial cost, expressed as a percentage. It helps businesses choose between capital projects.
ARR 是一种投资评估方法，用项目平均年利润与初始成本的百分比进行比较，帮助企业选择资本项目。
ARR (%) = (Average Annual Profit ÷ Initial Investment Cost) × 100
平均回报率 = (平均年利润 ÷ 初始投资成本) × 100
Average annual profit is total profit over the project’s life divided by the number of years. The ARR does not consider the time value of money, but it is simple and uses readily available data.
平均年利润为项目寿命期内的总利润除以年数。ARR 不考虑货币时间价值，但它简单易用且数据容易获取。
When comparing projects, the one with the higher ARR is normally preferred, provided the risk level is acceptable.
比较项目时，通常选择 ARR 较高的方案，前提是风险水平可接受。
| Project | Initial Cost | Total Profit over 4 yrs | Avg Annual Profit | ARR |
|---|---|---|---|---|
| A | £50,000 | £30,000 | £7,500 | 15% |
| B | £80,000 | £48,000 | £12,000 | 15% |
In this example both projects yield the same ARR, so other factors such as payback period or qualitative considerations must be weighed.
本示例中两个项目 ARR 相同，因此需要考虑回收期等其他定量因素或定性因素。
7. Cash Flow Forecasting | 现金流量预测
A cash flow forecast predicts the inflows and outflows of cash over a future period. It identifies potential cash shortages so a business can arrange overdrafts or delay payments in advance.
现金流量预测是对未来一段时间内现金流入与流出的预估。它能发现潜在的现金短缺，使企业提前安排透支或延迟付款。
Net Cash Flow = Total Inflows – Total Outflows
净现金流量 = 总流入 – 总流出
Closing Balance = Opening Balance + Net Cash Flow
期末余额 = 期初余额 + 净现金流量
Cash inflows include sales revenue, bank loans, and sale of assets. Outflows cover wages, rent, raw materials and loan repayments. Remember that cash flow and profit are different – a profitable business can still run out of cash.
现金流入包括销售收入、银行贷款和资产出售。流出包括工资、租金、原材料和偿还贷款。请记住现金流量与利润不同——盈利的企业仍可能出现现金短缺。
Managers can improve cash flow by reducing inventory levels, chasing receivables, or negotiating longer payment terms with suppliers.
管理者可通过降低库存水平、催收应收账款或与供应商协商更长的付款期限来改善现金流。
8. Decision Trees | 决策树
A decision tree is a diagrammatic tool that maps out different courses of action and their possible outcomes, each assigned a probability and an expected monetary value. It supports logical, data‑driven decision‑making.
决策树是一种图表工具，标绘出不同的行动方案及其可能的结果，对每种结果赋予概率和预期货币价值。它支持逻辑化、数据驱动的决策。
Expected Value = Probability × Payoff
预期价值 = 概率 × 收益
Net Gain = Sum of Expected Values – Initial Cost
净收益 = 预期价值总和 – 初始成本
Squares represent decision nodes, circles represent chance nodes. Edexcel problems usually require you to calculate the net gain for each branch and recommend the path with the highest positive net gain.
正方形表示决策节点，圆形表示机会节点。Edexcel 题目通常要求计算每条分支的净收益，并推荐净收益最高的路径。
Example: A launch costs £60,000. Success (0.7 probability) yields £200,000; failure (0.3) yields £20,000. Expected value = (0.7 × 200,000) + (0.3 × 20,000) = £146,000. Net gain = £146,000 – £60,000 = £86,000. The launch is financially worthwhile.
示例：推出一款产品成本 £60,000。成功概率 0.7，收益 £200,000；失败概率 0.3，收益 £20,000。预期价值 = (0.7 × 200,000) + (0.3 × 20,000) = £146,000。净收益 = £146,000 – £60,000 = £86,000，财务上可行。
9. Motivation Theories (Key Models) | 激励理论（关键模型）
People are the most valuable resource in many businesses. Edexcel often includes questions about how different motivational theories improve employee performance. Maslow and Herzberg are the two foundational frameworks.
人是许多企业最宝贵的资源。Edexcel 考题常涉及不同激励理论如何提升员工绩效。马斯洛和赫茨伯格是两个基础框架。
Maslow’s hierarchy of needs arranges human needs in a pyramid: physiological, safety, social, esteem and self‑actualisation. Lower‑level needs must be satisfied before higher‑level needs motivate behaviour. In practice, a business can use good pay and safe working conditions to meet lower needs, then offer team‑working and recognition to address higher needs.
马斯洛需求层次将人类需求按金字塔排列：生理、安全、社交、尊重和自我实现。低层次需求满足后，高层次需求才能激励行为。实践中，企业可用优厚薪酬和安全的工作环境满足低需求，再以团队合作和认可来满足高需求。
Herzberg’s two‑factor theory splits factors into hygiene factors (e.g. salary, job security, working conditions) that prevent dissatisfaction, and motivators (e.g. achievement, recognition, responsibility) that truly drive satisfaction. Fixing hygiene factors alone is not enough; managers must enrich the job itself.
赫茨伯格双因素理论将因素分为保健因素（如薪水、工作保障、工作条件），它们只能消除不满；以及激励因素（如成就、认可、责任），它们真正驱动满意。仅改善保健因素是不够的，管理者必须丰富工作本身。
These theories explain why financial rewards alone may fail to motivate and why empowerment and job design matter.
这些理论解释了为何仅有金钱奖励可能无法激励员工，以及赋权与工作设计的重要性。
10. Key Strategic Models | 关键战略模型
Strategic models help businesses analyse their position and plan for the future. The Boston Matrix and the product life cycle are frequently tested.
战略模型帮助企业分析自身定位并规划未来。波士顿矩阵和产品生命周期是常考内容。
The Boston Matrix classifies products into four categories based on market growth and market share: Stars (high growth, high share), Cash Cows (low growth, high share), Question Marks (high growth, low share) and Dogs (low growth, low share). It guides resource allocation – milk cash cows to invest in stars, consider divesting dogs.
波士顿矩阵根据市场增长率和市场份额将产品分为四类：明星（高增长、高份额）、金牛（低增长、高份额）、问号（高增长、低份额）和瘦狗（低增长、低份额）。它指导资源配置——从金牛获取资金投资明星，考虑剥离瘦狗。
The product life cycle (introduction, growth, maturity, decline) shows sales over time. Extension strategies like repositioning, product updates or entering new markets push back decline. Firms must match their marketing mix to each stage.
产品生命周期（导入、成长、成熟、衰退）展示销量随时间的变化。重新定位、产品更新或进入新市场等延伸策略可以推迟衰退。企业必须使营销组合与各阶段匹配。
Porter’s Five Forces model analyses industry attractiveness: threat of new entrants, bargaining power of buyers, bargaining power of suppliers, threat of substitutes, and competitive rivalry. Understanding these forces helps a business craft a sustainable competitive strategy.
波特五力模型分析行业吸引力：新进入者的威胁、买方议价能力、供应商议价能力、替代品的威胁及同业竞争。理解这些力量有助于企业制定可持续的竞争战略。
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