📚 Worksheet Answers – Chapter 35 | 第35章 工作纸答案
This article provides detailed model answers for the Chapter 35 worksheet, which focuses on Budgets and Variance Analysis within the Cambridge A-Level Business syllabus. Each answer is structured to reinforce key definitions, calculations, and evaluative skills required for high marks in examinations.
本文为剑桥 A-Level 商务课程第35章工作纸提供详细的示范答案，该章聚焦于预算与差异分析。每部分答案均围绕考试高分所需的关键定义、计算和评估能力而构建。
1. Definition and Purposes of a Budget | 预算的定义与目的
A budget is a detailed financial plan for a future period, expressed in numerical terms. It sets out expected revenues, costs, and resource allocations to guide business operations. Budgets are typically prepared annually but may be broken down into monthly or quarterly segments to improve monitoring.
预算是一份以数字形式表达的未来时期详细财务计划。它规定了预期的收入、成本和资源配置，以指导业务运营。预算通常按年度编制，但为了便于监控，也可拆分为月度或季度预算。
The main purposes of budgeting include planning, control, coordination, communication, and motivation. Planning ensures that resources are allocated towards strategic goals. Control involves comparing actual performance against the budget to identify variances, allowing managers to take corrective action. Coordination helps align the activities of different departments, while communication ensures that everyone understands the targets. Finally, budgets can motivate employees by setting clear, achievable goals, often linked to performance-related rewards.
预算的主要目的包括计划、控制、协调、沟通和激励。计划确保资源被分配到战略目标上。控制则是将实际业绩与预算进行比较以识别差异，从而使管理者能够采取纠正措施。协调有助于使不同部门的活动保持一致，而沟通则确保每个人都理解目标。最后，通过设定清晰且可实现的目标（通常与绩效奖励挂钩），预算可以激励员工。
2. Master Budget and Functional Budgets | 主预算与职能预算
The master budget is a comprehensive summary of all the individual budgets within an organisation, integrating the functional budgets into one overall financial plan. It typically includes a budgeted income statement and a budgeted statement of financial position. The master budget provides a complete picture of the business's expected financial performance and position for the budget period.
主预算是组织内所有单独预算的综合性汇总，它将各个职能预算整合为一个全面的财务计划。它通常包括一份预算损益表和一份预算财务状况表。主预算提供了企业在预算期内预期财务业绩和状况的完整图景。
Functional budgets, on the other hand, are prepared for each key department or function, such as sales, production, purchasing, marketing, and administration. For example, the sales budget forecasts the volume of sales and revenue, while the production budget details the quantity of goods to be manufactured and the associated costs. These budgets must be coordinated so that production aligns with sales forecasts, and purchasing supports production without building excessive inventory.
另一方面，职能预算则是针对每个关键部门或职能而编制的，例如销售、生产、采购、市场和行政管理等。例如，销售预算预测销售量和收入，而生产预算则详细说明产品的制造数量及相关成本。这些预算必须相互协调，使生产与销售预测保持一致，采购在支持生产的同时避免积压过多库存。
3. Variance Calculation | 差异计算
r actual cost is lower than budgeted, and adverse (A) when the opposite occurs. The basic formula is: Variance = Actual figure – tes a favourable variance, while a positive result for cost indicates an adverse variance.
差异是预算数据与实际数据之间的差额。当实际收入高于预算或实际成本低于预算时，差异为有利 (F)；反之则为不利 (A)。基本计算公式为：差异 = 实际数据 – 预算数据。对于收入而言，正数表示有利差异；对成本而言，正数表示不利差异。
Consider the following data for a product line:
| Item | Budget | Actual | Variance | Nature |
|---|---|---|---|---|
| Sales revenue | $80,000 | $74,000 | $6,000 | Adverse |
| Direct materials | $20,000 | $22,500 | $2,500 | Adverse |
| Direct labour | $15,000 | $13,800 | $1,200 | Favourable |
The sales revenue variance is $6,000 adverse, indicating that fewer units were sold or prices were lower than planned. Material costs are $2,500 adverse, possibly due to price increases or higher wastage. Labour costs show a $1,200 favourable variance, which might result from improved productivity or lower wage rates. These variances must be investigated to determine their cause before managers take action.
销售收入差异为不利的 6,000 美元，表明销售量低于计划或价格低于预期。材料成本差异为不利的 2,500 美元，可能由于价格上涨或损耗增加。劳动力成本显示出有利的 1,200 美元差异，这可能是由于生产率提高或工资率降低。在管理者采取措施之前，必须调查这些差异，确定其成因。
4. Advantages and Disadvantages of Budgeting | 预算的优点与缺点
Budgeting offers several advantages. It improves financial control by establishing spending limits and performance benchmarks. It also facilitates delegation, as budgets give junior managers clear authority over their departmental resources. Furthermore, budgeting promotes forward thinking and can reveal potential problems early, allowing time for contingency planning.
预算编制具有多项优点。它通过设定支出限额和业绩基准来加强财务控制。它也有助于授权，因为预算赋予基层管理者对其部门资源的明确管理权。此外，预算编制促进前瞻性思维，能及早发现潜在问题，为应急计划留出时间。
However, budgets have drawbacks. They can be time‑consuming and costly to prepare, especially in large organisations. Inflexible budgets may become quickly outdated in a dynamic environment, leading to misguided decisions. There is also a risk of budgetary slack, where managers intentionally understate revenues or overstate costs to make targets easier to achieve. Finally, an over‑emphasis on meeting budgetary targets can encourage short‑termism, damaging long‑term growth and innovation.
然而，预算也存在缺点。编制预算既耗时又昂贵，尤其是在大型组织中。固化的预算在动态环境中可能很快过时，导致错误决策。还存在预算松弛的风险，即管理者故意低估收入或高估成本，以降低达成目标的难度。最后，过度强调达成预算目标会助长短期主义，损害长期增长与创新。
5. Flexible Budgeting | 弹性预算
A flexible budget adjusts the original budgeted figures to reflect the actual level of activity, such as units produced or sold. Unlike a fixed budget, which remains unchanged regardless of output volume, a flexible budget recalculates expected revenues and variable costs based on the actual activity level. This allows for a more meaningful variance analysis, as it compares the actual performance against a budget that has been adapted to real conditions.
弹性预算会根据实际活动水平（如产量或销售量）调整原有预算数字。与固定预算（无论产出量如何均保持不变）不同，弹性预算根据实际活动量重新计算预期收入和变动成本。这使得差异分析更具意义，因为它将实际业绩与根据真实情况调整后的预算进行比较。
For example, if a factory budgeted for 10,000 units but actually produced 9,000, a fixed budget would show large adverse variances for costs simply because output was lower. A flexible budget, however, would adjust cost allowances to the 9,000‑unit level. The remaining variances would then reflect efficiency and spending control, rather than mere volume changes. Businesses operating in volatile markets particularly benefit from flexible budgeting.
例如，如果一家工厂预算产量为 10,000 件，但实际仅生产了 9,000 件，固定预算会因产出较低而显示出巨大的不利成本差异。而弹性预算会将成本限额调整到 9,000 件的水平。剩下的差异就真正反映了效率和支出控制，而非仅仅是产量变化。在波动性市场中运营的企业尤其受益于弹性预算。
6. Cash Budget Analysis | 现金预算分析
A cash budget forecasts the cash inflows and outflows over a period, helping the business predict its liquidity position. It ensures that the firm can meet its obligations as they fall due and identifies periods of cash surplus or deficit. Below is a simplified three‑month cash budget for a small retailer:
现金预算预测一段时期内的现金流入和流出，帮助企业预测其流动性状况。它能确保公司能够偿付到期债务，并识别出现金盈余或赤字的时期。以下是一家小型零售商的简化三个月现金预算：
| Month | Jan ($) | Feb ($) | Mar ($) |
|---|---|---|---|
| Opening balance | 5,000 | 2,100 | 1,400 |
| Cash receipts | 12,000 | 14,600 | 13,200 |
| Cash payments | (14,900) | (15,300) | (12,800) |
| Closing balance | 2,100 | 1,400 | 1,800 |
The closing balance never falls below $1,400, but it remains low compared to the opening balance. This signals tight liquidity and a possible need for an overdraft facility. The business should investigate whether payment timings can be delayed or receipts accelerated. Continuous monitoring of the cash budget is essential to avoid insolvency.
期末余额从未低于 1,400 美元，但与期初余额相比仍偏低。这表明流动性紧张，可能需要透支额度。企业应调查是否可以延迟付款时间或加速收款。持续监控现金预算对于避免资不抵债至关重要。
7. Zero‑Based Budgeting vs Incremental Budgeting | 零基预算与增量预算
Incremental budgeting takes the previous period's budget as a base and adjusts it for expected changes, such as inflation or expansion. It is simple and quick to prepare but tends to perpetuate past inefficiencies. Departments often feel pressure to spend their entire budget to avoid cuts in the next period, leading to wasteful expenditure.
增量预算以上一期的预算为基础，并根据通货膨胀或扩张等预期变化进行调整。它编制简便快捷，但往往会延续过去的低效。部门常会感到必须花光全部预算以免下期被削减，从而导致浪费性支出。
Zero‑based budgeting (ZBB), in contrast, requires managers to justify every single expense from scratch, as if the budget were being created for the first time. Each activity is assessed on its merits and its contribution to organisational objectives. ZBB encourages efficient resource allocation and can eliminate unnecessary costs, but the process is very time‑intensive and may not be suitable for all functions. For example, a marketing department might use ZBB to critically evaluate each campaign's return on investment.
相比之下，零基预算 (ZBB) 要求管理者从零开始为每一笔支出提供合理理由，如同首次编制预算一般。每项活动都根据其价值及对组织目标的贡献进行评估。ZBB 鼓励高效的资源分配并能消除不必要的成本，但该过程非常耗时，可能并非所有职能都适用。例如，市场营销部门可以使用 ZBB 来严格评估每项活动的投资回报。
8. Case Study: Analysing Adverse and Favourable Variances | 案例分析：分析不利与有利差异
Scenario: EcoGear Ltd produces outdoor equipment. Its budget for the last quarter assumed sales of 2,000 tents at $150 each, with direct material cost of $40 per tent and direct labour cost of $25 per tent. Actual results showed sales of 2,200 tents at $145 each, material cost $41 per tent, and labour cost $23 per tent. Management is concerned about revenue and material cost variances.
情境：EcoGear Ltd 生产户外装备。上季度预算假设销售 2,000 顶帐篷，单价 150 美元，单顶直接材料成本 40 美元，直接人工成本 25 美元。实际结果：销售 2,200 顶，单价 145 美元，单顶材料成本 41 美元，人工成本 23 美元。管理层对收入和材料成本差异表示担忧。
We calculate variances as follows:
我们计算差异如下：
Sales revenue budget: 2,000 × $150 = $300,000
Actual revenue: 2,200 × $145 = $319,000
Revenue variance = $319,000 – $300,000 = $19,000 Favourable
Material cost budget: 2,000 × $40 = $80,000
Actual material cost: 2,200 × $41 = $90,200
Material variance = $90,200 – $80,000 = $10,200 Adverse
Labour cost budget: 2,000 × $25 = $50,000
Actual labour cost: 2,200 × $23 = $50,600
Labour variance = $50,600 – $50,000 = $600 Adverse
Although total revenue increased by $19,000, this was achieved by reducing the selling price by $5, which stimulated demand. The material variance is adverse due to both the higher volume and the increased unit cost, suggesting supplier price rises or quality upgrades. The labour variance is slightly adverse, driven purely by volume, as the actual rate per unit was lower than budgeted, indicating efficiency gains.
尽管总收入增加了 19,000 美元，这是通过将售价降低 5 美元刺激需求实现的。材料成本差异不利，因为销量上升且单位成本增加，表明供应商提价或品质升级。人工成本差异略有不利，纯粹由产量驱动，因为实际单位人工成本低于预算，表明效率有所提高。
Recommendations: EcoGear should negotiate with material suppliers to contain cost rises, and evaluate whether the price cut has improved overall profitability when considering the contribution margin. The positive labour efficiency should be investigated to see if it can be replicated in other areas. This analysis demonstrates that managers must look beyond a simple 'F' or 'A' label and understand the underlying causes of variances.
建议：EcoGear 应与材料供应商谈判以控制成本上涨，并评估在考虑边际贡献后，降价是否提升了整体盈利能力。应调查积极的人工效率，看看能否在其他领域复制。这一分析表明，管理者不能仅看简单的“F”或“A”标签，必须理解差异背后的根本原因。
Published by TutorHao | Business Revision Series | aleveler.com
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