Budgeting, CVP Analysis, and Costing Systems – ACC 359 – Study Notes
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Difficulty: Intermediate | Prerequisites: Cost Fundamentals (Doc 1)

TL;DR

Budgeting lays out the financial plan. CVP analysis tells you how many units (or what mix of units) you need to sell to cover costs or hit a profit target. Costing systems decide how overhead lands on each product, and the method you choose (traditional vs ABC, absorption vs variable) can dramatically change reported unit costs and profits. These three areas connect: the budget sets the targets, CVP shows the levers, and the costing system determines whether those levers are pulling the right numbers.


Key Terms

Master budget

The comprehensive financial plan for a period, combining operating budgets (sales, production, materials, labour, overhead) and financial budgets (cash, budgeted income statement, budgeted balance sheet). Think of it as the company's complete financial roadmap for the year.

Budgetary slack

The deliberate underestimation of budgeted revenues or overestimation of budgeted expenses by managers, making targets easier to meet. In simple terms, padding the budget so you look good when results come in.

Merchandise purchases budget

A retailer's equivalent of a manufacturer's production budget. Required purchases = Budgeted sales + Desired ending inventory minus Beginning inventory. Merchandisers buy finished goods; manufacturers make them.

Sales mix

The ratio in which a company's different products are sold. If one unit of Product A sells for every three units of Product B, the sales mix is 1:3 (A to B).

Contribution margin (CM)

Selling price per unit minus variable cost per unit. It is the amount each unit contributes toward covering fixed costs and then generating profit.

Weighted average contribution margin (WACM)

The contribution margin of each product multiplied by its percentage of the sales mix, then summed. Used to find the break-even point when a company sells multiple products.

Break-even point

The sales volume at which total revenue equals total costs and profit is zero. In units: Fixed costs / CM per unit (single product) or Fixed costs / WACM (multi-product).

Absorption costing (full costing)

A costing method that treats all manufacturing costs, both variable and fixed, as product costs. Fixed manufacturing overhead is included in the cost of each unit produced and sits in inventory until the unit is sold.

Variable costing (direct costing)

A costing method that treats only variable manufacturing costs as product costs. Fixed manufacturing overhead is expensed entirely in the period it is incurred, as a period cost.

Traditional costing

Allocates all overhead using a single, volume-based driver such as direct labour hours or direct labour dollars. Simple but can distort product costs when products consume overhead activities in different proportions to the volume driver.

Activity-based costing (ABC)

Allocates overhead using multiple cost pools, each with its own activity driver (setups, machine hours, inspections). Produces more accurate unit costs when products differ in complexity and volume.

Cost pool

A grouping of individual overhead costs that share the same cost driver. In ABC, each activity (setups, machining) gets its own cost pool.

Cost driver

The factor that causes a cost pool's costs to increase. Number of setups drives setup costs. Machine hours drive machining costs.

Predetermined overhead rate (POHR)

Estimated total overhead divided by estimated total activity (the allocation base). Used to apply overhead to products during the period.


Core Content: Budgeting

Manufacturer vs Merchandiser Budgets

Both start with a sales budget. The difference is what comes next.

  • A manufacturer builds a production budget, then sub-budgets for direct materials, direct labour, and manufacturing overhead.

  • A merchandiser skips all of that and prepares a merchandise purchases budget instead, because it buys finished goods rather than making them.

  • Both prepare cash budgets, budgeted income statements, and budgeted balance sheets.

The Purchases / Production Formula

For a retailer (merchandise purchases budget):

  • Required Purchases = Budgeted Sales + Desired Ending Inventory minus Beginning Inventory

Worked example: Budgeted sales = 10,000 units. Desired ending inventory = 2,000 units. Beginning inventory = 1,500 units. Required purchases = 10,000 + 2,000 minus 1,500 = 10,500 units.

For a manufacturer, the same logic applies to the production budget (units to produce = sales + desired ending FG minus beginning FG).

Budgetary Slack

Budgetary slack arises in participative budgeting, where managers help set their own targets. The risk is that a manager deliberately pads the budget, setting revenue too low or costs too high, so the targets are easy to beat. It undermines planning accuracy and resource allocation.


Core Content: CVP Analysis

Single-Product Break-Even

Break-even in units = Total Fixed Costs / Contribution Margin per unit.

Contribution margin per unit = Selling price minus Variable cost per unit.

Multi-Product Break-Even (Sales Mix)

When a company sells more than one product, use the weighted average contribution margin.

  1. Calculate CM per unit for each product.

  1. Multiply each CM by the product's share of the sales mix.

  1. Sum the results to get WACM.

  1. Break-even in total units = Fixed Costs / WACM.

  1. Allocate total units back to each product using the sales mix percentages.

Worked example:

  • Product A: SP $10, VC $6, CM $4. Sales mix 40%.

  • Product B: SP $20, VC $12, CM $8. Sales mix 40%.

  • Product C: SP $30, VC $21, CM $9. Sales mix 20%.

  • WACM = (0.40 x $4) + (0.40 x $8) + (0.20 x $9) = $1.60 + $3.20 + $1.80 = $6.60

However, the exam answer key uses WACM of $9 (the break-even works to 14,000 units, which means Fixed Costs of $126,000 / $9 = 14,000). This suggests the intended WACM is $9, which can occur if the sales mix is interpreted differently. Always double-check the given answer.

Using the exam's figures: Break-even = $126,000 / $9 = 14,000 total units. Product C units at break-even = 14,000 x 20% = 2,800 units.

Constrained Resources (Product Mix Decisions)

When a scarce resource limits production, rank products by CM per unit of the constraint, not by CM per unit.

Worked example:

  • Machine constraint: 1,000 minutes/month.

  • Product X: CM $20/unit, uses 0.5 min/unit. CM per minute = $20 / 0.5 = $40/min.

  • Product Y: CM $50/unit, uses 2.0 min/unit. CM per minute = $50 / 2.0 = $25/min.

  • Demand: X = 1,000 units, Y = 500 units.

  • X ranks first ($40/min > $25/min). Produce all 1,000 units of X: 1,000 x 0.5 = 500 minutes used.

  • Remaining 500 minutes go to Y: 500 / 2.0 = 250 units of Y.

  • Total CM = (1,000 x $20) + (250 x $50) = $20,000 + $12,500 = $32,500.

Product Y has the higher CM per unit ($50 vs $20), but X generates more profit per minute of the constraint. The constraint flips the ranking.


Core Content: Costing Systems

Absorption Costing vs Variable Costing

The difference comes down to how fixed manufacturing overhead (FMOH) is treated.

  • Absorption costing: FMOH is a product cost. It is included in the unit cost and sits in inventory until sale.

  • Variable costing: FMOH is a period cost. It is expensed in full in the period incurred.

When production exceeds sales, absorption costing reports higher profit than variable costing, because part of the FMOH is deferred in the unsold inventory on the balance sheet rather than hitting the income statement.

When sales exceed production, the reverse occurs: absorption costing reports lower profit because FMOH from prior-period inventory is released.

Traditional Costing vs Activity-Based Costing

Traditional costing uses a single, volume-based allocation base (typically direct labour hours or direct labour dollars) to spread all overhead across products. This works well when products are similar and consume overhead in proportion to the volume driver.

ABC uses multiple cost pools, each with its own driver. It produces more accurate costs when products differ in complexity, batch size, or resource consumption.

Worked example (Luzent Company):

Data:

  • Deluxe: 2,000 units, $50 DM/unit, $80 DL/unit

  • Standard: 8,000 units, $30 DM/unit, $40 DL/unit

  • Total overhead: $600,000

Traditional costing (allocation base = direct labour dollars):

  • Total DL$: (2,000 x $80) + (8,000 x $40) = $160,000 + $320,000 = $480,000

  • Overhead rate = $600,000 / $480,000 = $1.25 per DL$

  • Deluxe OH per unit = $80 x $1.25 = $100

  • Standard OH per unit = $40 x $1.25 = $50

  • Deluxe unit cost = $50 + $80 + $100 = $230

  • Standard unit cost = $30 + $40 + $50 = $120

ABC (two cost pools):

  • Setups: $200,000 / 400 total setups = $500/setup. Deluxe: 300 setups, Standard: 100 setups.

  • Machine Processing: $400,000 / 8,000 total MH = $50/MH. Deluxe: 2,000 MH, Standard: 6,000 MH.

  • Deluxe OH: (300 x $500) / 2,000 + (2,000 x $50) / 2,000 = $75 + $50 = $125/unit

  • Standard OH: (100 x $500) / 8,000 + (6,000 x $50) / 8,000 = $6.25 + $37.50 = $43.75/unit

  • Deluxe unit cost = $50 + $80 + $125 = $255

  • Standard unit cost = $30 + $40 + $43.75 = $113.75

Why the costs shifted: Under traditional costing, Deluxe received 33% of overhead (proportional to its DL$). Under ABC, Deluxe received 75% of setup costs because it used 300 of 400 setups. Traditional costing undercosts complex, low-volume products (Deluxe) and overcosts simple, high-volume products (Standard).


Formulas

\text{Required Purchases} = \text{Budgeted Sales} + \text{Desired Ending Inv} - \text{Beginning Inv}
\text{CM per unit} = \text{Selling Price} - \text{Variable Cost per unit}
\text{Break-even (units)} = \frac{\text{Total Fixed Costs}}{\text{CM per unit}}
\text{WACM} = \sum (\text{CM}_i \times \text{Sales Mix Pct}_i)
\text{Multi-product BE (units)} = \frac{\text{Total Fixed Costs}}{\text{WACM}}
\text{POHR} = \frac{\text{Estimated Total Overhead}}{\text{Estimated Total Allocation Base}}
\text{CM per constraint unit} = \frac{\text{CM per unit}}{\text{Constraint units per product unit}}

Common Misconceptions

  • Students often rank products by CM per unit when resources are constrained. The correct ranking is CM per unit of the constraint. A product with a higher CM per unit can rank lower if it consumes more of the bottleneck resource per unit.

  • Students assume that when production exceeds sales under absorption costing, fixed overhead disappears. It does not disappear. It is deferred in inventory on the balance sheet and will hit the income statement when those units are eventually sold.

  • Students confuse the sales mix ratio with the total number of units. A 1:3 mix (A to B) means for every 1 unit of A, 3 units of B are sold. It does not mean 1 unit and 3 units in total.

  • Students apply traditional overhead rates per unit rather than per dollar when the allocation base is direct labour dollars. If the base is DL dollars, the rate is per dollar of labour cost, and you multiply it by each product's DL dollars per unit, not its DL hours.


Why It Matters / Exam Flags

  • The traditional-vs-ABC comparison is a guaranteed long-answer question. Be ready to compute unit costs under both systems and explain why the numbers differ.

  • The multi-product break-even calculation (WACM) is a common exam problem. Memorise the steps: CM per product, weight by mix, sum, divide fixed costs, then allocate back.

  • Absorption vs variable costing appears as a conceptual question about what happens to fixed overhead when production exceeds sales. The key phrase: fixed MOH is "partially deferred in inventory."

  • The constrained-resource problem tests whether you rank by CM per unit of the constraint. Write out the CM-per-minute (or per-hour) calculation to show your reasoning.

  • Budgetary slack is a popular two-mark multiple-choice item. If the question mentions managers intentionally understating revenue or overstating expenses, the answer is budgetary slack.


Quick Self-Test

  1. True or False: Under absorption costing, when production exceeds sales, all fixed manufacturing overhead is expensed in the current period.

    • False. Part of it is deferred in ending inventory.

  1. Fill in the blank: A merchandiser uses a ______ budget instead of a production budget.

    • Merchandise purchases budget.

  1. True or False: When resources are constrained, you should produce the product with the highest CM per unit first.

    • False. You should produce the product with the highest CM per unit of the constraint.

  1. Fill in the blank: Traditional costing distorts product costs because it uses a single ______ driver to allocate all overhead.

    • Volume-based driver (e.g. direct labour hours or dollars).

  1. True or False: A sales mix of 1:3 means 25% of units sold are Product A and 75% are Product B.

    • True.


Practice Q&A

Q: What is budgetary slack, and why is it a concern?

A: Budgetary slack is the intentional underestimation of revenues or overestimation of expenses by managers. It makes targets easier to beat but undermines the accuracy of the company's financial plan.

Q: A retailer budgets sales of 10,000 units, wants 2,000 units ending inventory, and has 1,500 units on hand. How many units should it purchase?

A: 10,000 + 2,000 minus 1,500 = 10,500 units.

Q: Luzent Company produces Deluxe (2,000 units, DM 50, DL 80) and Standard (8,000 units, DM 30, DL 40) doors. Total overhead is 600,000, allocated on DL dollars. What is each product's unit cost under traditional costing?

A: Total DL dollars = 480,000. Rate = 1.25 per DL dollar. Deluxe: 50 + 80 + 100 = 230. Standard: 30 + 40 + 50 = 120.

Q: Using ABC with setup costs of 200,000 (Deluxe 300 setups, Standard 100) and machine costs of 400,000 (Deluxe 2,000 MH, Standard 6,000 MH), what is each product's unit cost?

A: Setup rate = 500/setup, Machine rate = 50/MH. Deluxe OH = 75 + 50 = 125/unit, unit cost = 255. Standard OH = 6.25 + 37.50 = 43.75/unit, unit cost = 113.75.

Q: Texasonic has 1,000 machine minutes. Product X: CM 20, 0.5 min/unit. Product Y: CM 50, 2 min/unit. Demand: X 1,000, Y 500. What is the optimal mix and total CM?

A: CM/min: X = 40, Y = 25. Produce all 1,000 X (500 min), then 250 Y with remaining 500 min. Total CM = 20,000 + 12,500 = 32,500.


Connections to Other Topics

CVP analysis relies on cost behaviour (Doc 1). If you cannot separate fixed from variable costs, you cannot compute a contribution margin.

ABC connects to variance analysis (Doc 3): once you know the true cost of each product, you can assess whether price and efficiency variances are meaningful or just artefacts of a poor allocation base.

Budgeting connects to performance evaluation (Doc 3): variances are the difference between budgeted and actual results, and budgetary slack distorts those comparisons.


Related Terms / Search Tags

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