Inventory Control, Labour Cost, Overhead Allocation & Activity-Based Costing (ABC)

1. Material Inventory Control: Stock Levels & ABC Analysis
Raw materials typically constitute $50\%$ to $70\%$ of the total manufacturing cost of finished goods. Effective inventory management establishes quantitative thresholds to prevent both stockouts and excessive carrying costs:
- Reorder Level (ROL): The inventory threshold that signals the procurement division to release a fresh purchase requisition: $$\text{ROL} = \text{Maximum Usage per Day} \times \text{Maximum Lead Time (Days)}$$
- Minimum Stock Level (Safety Buffer): The lowest stock cushion to prevent plant shutdown under delayed deliveries: $$\text{Minimum Level} = \text{ROL} - (\text{Normal Average Usage} \times \text{Normal Average Lead Time})$$
- Maximum Stock Level: The upper quantity ceiling above which inventory must not accumulate to avoid capital lock-up and deterioration: $$\text{Maximum Level} = \text{ROL} + \text{EOQ} - (\text{Minimum Usage} \times \text{Minimum Lead Time})$$
- Danger Stock Level: Emergency stock boundary where production is threatened; purchases are arranged on priority expediting: $$\text{Danger Level} = \text{Average Daily Consumption} \times \text{Maximum Emergency Lead Time}$$
- ABC Inventory Classification (Pareto Principle):
- Category A: High value ($70\%$ of inventory investment), low volume ($10\%$ of total items). Requires tight daily management and strict physical audits.
- Category B: Moderate value ($20\%$ of investment), moderate volume ($20\%$ of items). Managed with standard reorder points.
- Category C: Low value ($10\%$ of investment), high volume ($70\%$ of items). Managed with periodic batch reviews and simple two-bin visual controls.
2. Labour Cost Control, Idle Time & Incentive Wage Systems
Human capital accounting involves auditing worker productivity, eliminating unbudgeted idle time, and aligning remuneration with operational output:
- Normal Idle Time: Unavoidable operational pauses inherent in the production setup (e.g., walking to tool crib, machine setup calibration, tea breaks). Treated as part of factory production cost and absorbed into overhead recovery rates.
- Abnormal Idle Time: Avoidable non-productive intervals resulting from managerial inefficiency (e.g., power grid failure, machine breakdown, raw material stockouts, industrial strikes). Charged directly to Costing Profit and Loss Account to prevent unit cost inflation.
- Halsey Premium Plan: Formulated by F.A. Halsey. A standard time ($S$) is set for each task. If the worker completes it in actual time ($T$) where $T < S$, they receive guaranteed time wages plus a bonus of $50\%$ of time saved: $$\text{Total Earnings} = (T \times R) + 50\% (S - T) \times R$$
- Rowan Premium Plan: Formulated by James Rowan. The bonus is a proportion of time wages, determined by the ratio of time saved to standard time: $$\text{Total Earnings} = (T \times R) + \left(\frac{S - T}{S}\right) \times (T \times R)$$ Key Distinction: Under Rowan's plan, a worker can never double their hourly rate, which prevents runaway earnings if standard times are set too loose.
3. Overhead Accounting, Allocation, Apportionment & Machine Hour Rate
Overheads encompass all indirect material, indirect labor, and indirect expenses that cannot be directly attributed to a single cost unit:
- Overhead Allocation: Allotment of whole items of cost directly to specific cost centers (e.g., charging specific canteen wages directly to the canteen department).
- Overhead Apportionment (Primary Distribution): Allotment of common indirect expenditures across multiple departments using rational basis:
- Factory Rent, Rates & Taxes → Floor Area (sq. meters) occupied by each department.
- Plant Depreciation, Machine Insurance → Capital Book Value of Machinery.
- Power & Electricity → Horsepower (HP) rating of machines multiplied by operating hours.
- Canteen & Welfare Expenses → Headcount (Number of workers) in each department.
- Secondary Distribution (Re-Apportionment): Redistributing service department costs (e.g., Maintenance, Stores) to production departments using direct method, step-down method, repeated distribution, or simultaneous linear equations.
- Machine Hour Rate (MHR): In mechanized factories, overheads are absorbed based on operating machine hours: $$\text{Machine Hour Rate (MHR)} = \frac{\text{Standing Fixed Charges} + \text{Running Machine Variable Costs}}{\text{Effective Annual Machine Hours}}$$
4. Activity-Based Costing (ABC): Architecture, Cost Pools & Drivers
Developed by Professors Robert Kaplan and Robin Cooper of Harvard Business School, Activity-Based Costing (ABC) revolutionized cost accounting by addressing the distortions of traditional volume-based overhead absorption:
- The Flaw of Traditional Costing: Traditional systems allocate overheads using volume-driven bases (direct labor hours, machine hours). Consequently, high-volume simple products over-subsidize low-volume complex custom products that consume disproportionate setups and quality audits.
- Foundational ABC Axiom: "Activities consume resources; products and services consume activities."
- Cost Pool: An aggregate of all indirect costs associated with a distinct operational business activity (e.g., Machine Setup Cost Pool, Quality Inspection Cost Pool, Material Procurement Cost Pool).
- Cost Driver: Any factor or event that causes a change in the total cost of an activity:
- Transaction Drivers: Count how often an activity is performed (e.g., number of purchase orders, number of machine setups).
- Duration Drivers: Measure the time required to perform an activity (e.g., setup hours, inspection hours).
- Intensity Drivers: Directly charge resources for complex, high-effort activities.
- Activity Cost Driver Rate: $$\text{Cost Driver Rate} = \frac{\text{Total Activity Cost Pool (\text{ā¹})}}{\text{Total Volume of Cost Driver}}$$
Quantitative Equations & Solved Step-by-Step Numericals
EOQ & Wage Plans1. Solved EOQ & Inventory Costing Numerical
Calculate: (a) Economic Order Quantity ($EOQ$), (b) Number of orders per year, and (c) Total annual inventory management cost (Ordering + Carrying).
Annual Demand ($A$) = $10,000\text{ units}$
Cost per Order ($S$) = $\text{ā¹}200$
Carrying Cost per Unit per Year ($C$) = $20\% \times \text{ā¹}50 = \mathbf{\text{ā¹}10\text{ per unit per year}}$
Step 2: Calculate Economic Order Quantity (EOQ)
$$EOQ = \sqrt{\frac{2 \times A \times S}{C}} = \sqrt{\frac{2 \times 10,000 \times 200}{10}} = \sqrt{\frac{40,00,000}{10}} = \sqrt{4,00,000} = \mathbf{632.45} \approx \mathbf{632\text{ units}}$$ (If using 632.45 or rounded 632 units)
Step 3: Number of Orders per Year & Total Inventory Cost
$$\text{Number of Orders} = \frac{A}{EOQ} = \frac{10,000}{632.45} \approx \mathbf{15.81\text{ orders per year}}$$ $$\text{Annual Ordering Cost} = \left(\frac{A}{EOQ}\right) \times S = 15.81 \times 200 = \text{ā¹}3,162.28$$ $$\text{Annual Carrying Cost} = \left(\frac{EOQ}{2}\right) \times C = \left(\frac{632.45}{2}\right) \times 10 = \text{ā¹}3,162.25$$ $$\text{Total Annual Inventory Cost} = \text{ā¹}3,162.28 + \text{ā¹}3,162.25 = \mathbf{\text{ā¹}6,324.53}$$ Verification Principle: At EOQ, Annual Ordering Cost and Annual Carrying Cost are identical ($\text{ā¹}3,162 \approx \text{ā¹}3,162$). (Exact Match)
2. Solved Labour Remuneration: Halsey vs. Rowan Plans
Calculate: Total earnings and effective hourly wage rate under: (a) Halsey Premium Scheme (50% bonus), and (b) Rowan Premium Scheme.
Standard Time ($S$) = 10 hours • Actual Time Taken ($T$) = 6 hours • Hourly Rate ($R$) = ā¹60/hr
Time Saved = $S - T = 10 - 6 = \mathbf{4\text{ hours}}$
Case (a): Halsey Premium Scheme (50% Bonus)
$$\text{Basic Time Wages} = T \times R = 6\text{ hrs} \times \text{ā¹}60 = \text{ā¹}360$$ $$\text{Bonus Earnings} = 50\% \times (S - T) \times R = 0.50 \times 4\text{ hrs} \times \text{ā¹}60 = \text{ā¹}120$$ $$\text{Total Earnings under Halsey} = \text{ā¹}360 + \text{ā¹}120 = \mathbf{\text{ā¹}480}$$ $$\text{Effective Hourly Earning Rate} = \frac{\text{ā¹}480}{6\text{ hours}} = \mathbf{\text{ā¹}80.00\text{ per hour}}$$ (Worker's hourly earnings rise from ā¹60 to ā¹80, a 33.3% pay boost)
Case (b): Rowan Premium Scheme
$$\text{Basic Time Wages} = T \times R = 6\text{ hrs} \times \text{ā¹}60 = \text{ā¹}360$$ $$\text{Bonus Earnings} = \left(\frac{S - T}{S}\right) \times (T \times R) = \left(\frac{4}{10}\right) \times \text{ā¹}360 = 0.40 \times 360 = \text{ā¹}144$$ $$\text{Total Earnings under Rowan} = \text{ā¹}360 + \text{ā¹}144 = \mathbf{\text{ā¹}504}$$ $$\text{Effective Hourly Earning Rate} = \frac{\text{ā¹}504}{6\text{ hours}} = \mathbf{\text{ā¹}84.00\text{ per hour}}$$ Managerial Comparison: Under the Rowan plan, the worker earns ā¹504 (ā¹84/hr) vs. ā¹480 (ā¹80/hr) under Halsey. The Rowan plan awards higher incentives for moderate time savings ($40\%$ savings), protecting both labor morale and unit factory production costs.
6. Corporate Case Vignette: ITC Limited Supply Chain & ABC
ITC Limited: FMCG Multi-Product Cost Driver Realignment
At ITC's foods business division (manufacturing Sunfeast biscuits, Aashirvaad atta, and Yippee! noodles), common warehouse logistics and automated packaging line changeovers were historically allocated using direct machine hours. Under this traditional absorption method, high-volume plain wheat flour appeared barely profitable, while specialty low-volume cream biscuits showed misleadingly inflated margins.
ITC transitioned to an Activity-Based Costing (ABC) model. The audit revealed that specialty biscuit variants required 14 recipe changeovers weekly and consumed 48% of the sanitization quality inspection pool, despite generating only 12% of total output volume. Reallocating overheads via distinct cost drivers (number of washdowns, pallet dispatch transactions) unveiled the true unit cost, prompting ITC to rationalize SKU pack sizes, optimize batch production runs, and enhance operating margins by 180 basis points.
7. AKTU University Examination Question Bank
Q1: What is Economic Order Quantity (EOQ)? Write its mathematical formula.
Model Answer: Economic Order Quantity ($EOQ$) is the optimal replenishment order size that minimizes total annual inventory costs by balancing annual ordering costs against inventory holding (carrying) costs: $EOQ = \sqrt{\frac{2 A S}{C}}$, where $A$ = Annual Demand, $S$ = Ordering Cost per order, and $C$ = Carrying Cost per unit per year.
Q2: What is meant by a 'Cost Driver' in Activity-Based Costing (ABC)?
Model Answer: In Activity-Based Costing, a Cost Driver is any measurable activity factor or causal event that directly generates or influences operational cost (e.g., number of purchase orders, number of machine setups, or number of engineering design change orders).
Q3: Compare traditional absorption costing with Activity-Based Costing (ABC). Explain Cost Pools and Cost Drivers with examples. A worker is allowed 8 hours to complete a job at ā¹50/hour; they finish it in 5 hours. Calculate total earnings under Halsey (50%) and Rowan schemes.
Exam Strategy: Detail traditional volume distortion vs. ABC's cause-and-effect assignment. Define cost pools and transaction/duration drivers. For the numerical: $S=8, T=5, R=50, \text{Saved}=3$. Halsey: $5 \times 50 + 0.5(3 \times 50) = 250 + 75 = \text{ā¹}325$. Rowan: $5 \times 50 + (3/8)(5 \times 50) = 250 + 93.75 = \text{ā¹}343.75$. Conclude with Rowan awarding higher earnings for 37.5% time savings.
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