Cost and Management Accounting 2081 Board Question Paper

Two prominent limitations of cost accounting are:

1. Expensive and Complex Implementation: Setting up and operating a detailed cost accounting system requires extensive documentation (job sheets, material requisitions, time tickets) and specialized clerical staff, making it prohibitively costly for small enterprises.
2. Reliance on Estimates and Arbitrary Conventions: Overhead allocation, joint product apportionment, and depreciation rely heavily on subjective management assumptions rather than exact empirical measurements.

An indirect cost is an expenditure that cannot be directly, conveniently, and economically traced or identified with a specific cost object, product, or job. It is pooled and apportioned across multiple products on an equitable absorption basis.

Examples:

• Factory building rent and property taxes
• Salary of factory supervisors and storekeepers
• Factory lighting, power, and machine lubricant oils.

Just-in-Time (JIT) inventory policy is a demand-pull inventory control system where raw materials arrive exactly when needed on the production floor, and finished goods are produced precisely when customer orders are received. Its goal is to achieve zero inventory, eliminate holding and warehousing carrying costs, and eradicate manufacturing defects.

Labour turnover refers to the rate at which employees leave an organization (due to resignations, discharges, retirement, or abandonment) and are replaced by new workers during a specific accounting period. A high labour turnover rate signifies low worker morale, uncompetitive compensation, or poor working conditions, leading to heavy recruitment and training costs.

Normal loss is the unavoidable loss or shrinkage of materials that is inherent, natural, and technically unavoidable in a manufacturing process under normal operating conditions (e.g., evaporation of liquids, sawdust in carpentry, scrap offcuts in metal stamping). The cost of normal loss is absorbed into the cost of good production, and any scrap value realized is credited to the Process Account.

Given:

• $\text{Total Ordering \& Carrying Cost at EOQ} = \text{Rs. } 3,000$
• $\text{Ordering Cost per Order } (O) = \text{Rs. } 60$
• $\text{Unit Purchase Price } (C) = \text{Rs. } 20$
• $\text{Carrying Cost per Unit } (c) = 10\% \text{ of Rs. } 20 = \text{Rs. } 2.00$

Formula:

$$\text{Total Inventory Management Cost at EOQ} = \sqrt{2AOc}$$

$$3,000 = \sqrt{2 \times A \times 60 \times 2} = \sqrt{240A}$$

Squaring both sides:

$$9,000,000 = 240A$$

$$A = \frac{9,000,000}{240} = \mathbf{37,500\text{ units}}$$

$$\mathbf{\text{Annual Requirement } (A) = 37,500\text{ units}}$$

Given:

• $\text{Standard Time Allowed } (S) = 160\text{ hours}$
• $\text{Actual Time Taken } (T) = 140\text{ hours}$
• $\text{Time Saved} = S - T = 160 - 140 = 20\text{ hours}$
• $\text{Wage Rate per Hour } (R) = \text{Rs. } 20$

Bonus under Rowan Plan:

$$\text{Bonus} = \frac{\text{Time Saved}}{S} \times T \times R$$

$$\mathbf{\text{Bonus}} = \frac{20}{160} \times 140 \times 20 = \frac{1}{8} \times 2,800 = \mathbf{\text{Rs. } 350.00}$$

Given at 100% Normal Capacity (10,000 units):

• $\text{Total Cost} = 10,000\text{ units} \times \text{Rs. } 50 = \text{Rs. } 500,000$
• $\text{Fixed Cost} = \text{Rs. } 160,000$
• $\text{Total Variable Cost} = 500,000 - 160,000 = \text{Rs. } 340,000$
• $\text{Variable Cost per Unit } (b) = \frac{\text{Rs. } 340,000}{10,000\text{ units}} = \mathbf{\text{Rs. } 34.00\text{ per unit}}$

At 80% Capacity:

• $\text{Output Units} = 80\% \times 10,000 = 8,000\text{ units}$
• $\text{Variable Cost} = 8,000\text{ units} \times \text{Rs. } 34 = \text{Rs. } 272,000$
• $\text{Fixed Cost (remains constant)} = \text{Rs. } 160,000$
• $\mathbf{\text{Total Cost at 80\% Capacity}} = 272,000 + 160,000 = \mathbf{\text{Rs. } 432,000}$

Given:

• $\text{Maximum Consumption} = 3,000\text{ units/day}$, $\text{Minimum Consumption} = 2,000\text{ units/day}$
• $\text{Maximum Re-order Period} = 6\text{ days}$, $\text{Minimum Re-order Period} = 4\text{ days}$
• $\text{Maximum Stock Level} = 20,000\text{ units}$

Step 1: Compute Re-order Level (ROL):

$$\text{ROL} = \text{Max Consumption} \times \text{Max Lead Time} = 3,000 \times 6 = 18,000\text{ units}$$

Step 2: Compute Re-order Quantity (ROQ):

$$\text{Maximum Stock Level} = \text{ROL} + \text{ROQ} - (\text{Min Consumption} \times \text{Min Lead Time})$$

$$20,000 = 18,000 + \text{ROQ} - (2,000 \times 4)$$

$$20,000 = 18,000 + \text{ROQ} - 8,000 = 10,000 + \text{ROQ}$$

$$\mathbf{\text{ROQ}} = 20,000 - 10,000 = \mathbf{10,000\text{ units}}$$

Bifurcation of Labour Turnover Costs:

• Replacement Costs (costs directly incurred to recruit and train replacement employees):
  • Selection Cost $= \text{Rs. } 30,000$
  • Training Cost $= \text{Rs. } 24,000$
  • Inefficiency Loss of New Recruits $= \text{Rs. } 10,000$
  • Total Replacement Cost $= 30,000 + 24,000 + 10,000 = \mathbf{\text{Rs. } 64,000}$ (Note: Cost of welfare services of Rs. 26,000 is a preventive cost).

Calculation:

$$\mathbf{\text{Replacement Cost per Employee}} = \frac{\text{Total Replacement Cost}}{\text{No. of Workers Replaced}} = \frac{\text{Rs. } 64,000}{100\text{ workers}} = \mathbf{\text{Rs. } 640.00}$$

(If all listed costs are included: $\text{Rs. } 90,000 / 100 = \text{Rs. } 900.00$).

(a) Material Purchase Budget for Three Months Ending March

Working Notes:

Each unit needs $5\text{ kg}$ of raw material @ $\text{Rs. } 2/\text{kg}$.

1. Raw Material Required for Production:
   • January: $12,000 \times 5 = 60,000\text{ kg}$
   • February: $10,000 \times 5 = 50,000\text{ kg}$
   • March: $11,000 \times 5 = 55,000\text{ kg}$
2. Ending Inventory Policy: $50\%$ of current month’s production requirement:
   • January Ending RM $= 50\% \times 60,000 = 30,000\text{ kg}$
   • February Ending RM $= 50\% \times 50,000 = 25,000\text{ kg}$
   • March Ending RM $= 50\% \times 55,000 = 27,500\text{ kg}$
   • January Opening RM $= 30,000\text{ kg}$ (consistent with beginning policy).

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Material Purchase Budget Table

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(b) Differences between Main Product and By-Product

(a) Overhead Cost Per Unit under Activity-Based Costing (ABC)

Step 1: Calculate Cost Driver Rates

1. Volume-Related Cost Driver Rate:

   $$\text{Total Machine Hours} = 12,000 + 15,000 = 27,000\text{ hours}$$
   $$\text{Rate} = \frac{\text{Rs. } 68,000}{27,000\text{ MH}} = \mathbf{\text{Rs. } 2.5185\text{ per MH}}$$

2. Purchase-Related Cost Driver Rate:

   $$\text{Total Purchase Orders} = 50 + 60 = 110\text{ orders}$$
   $$\text{Rate} = \frac{\text{Rs. } 55,000}{110\text{ orders}} = \mathbf{\text{Rs. } 500.00\text{ per order}}$$

3. Set-up Related Cost Driver Rate:

   $$\text{Total Set-ups} = 4 + 6 = 10\text{ set-ups}$$
   $$\text{Rate} = \frac{\text{Rs. } 30,000}{10\text{ set-ups}} = \mathbf{\text{Rs. } 3,000.00\text{ per set-up}}$$

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Step 2: Allocation of Overhead to Products

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(b) Job Order Costing: Meaning and Need

Meaning: Job order costing is a system of cost accounting used when goods are manufactured against customized orders from clients, where each job has unique technical specifications, differing material and labor requirements, and a distinct job number (e.g., commercial printing, ship building, custom cabinetry).

Why it is needed:

1. Accurate Job Quotation and Price Fixation: Enables management to compute exact cost history to provide competitive and profitable tender bids.
2. Identification of Profitable vs Unprofitable Jobs: Reveals which custom customer contracts generate healthy contribution margins and which run into cost overruns.
3. Control over Wastage and Spoilage: Directly traces material requisitions and job-specific worker timesheets to prevent pilferage.
4. Basis for Cost-Plus Contracts: Many government and commercial jobs are contracted on a “cost-plus-fixed-fee” basis, which legally mandates a rigorous job-order cost accounting system.

Calculation of Labour Variances

Step 1: Standard Hours Allowed for Actual Output

• Standard Gang Output $= 0.25\text{ units per gang hour}$.
• Gang hours required for actual output ($2,200\text{ units}$):
  $$\text{Standard Gang Hours} = \frac{2,200\text{ units}}{0.25} = 8,800\text{ gang hours}$$
• Standard Gang Composition: Skilled $= 2$, Semi $= 3$, Unskilled $= 4$ (Total $= 9$).
• $\mathbf{SH_{\text{Skilled}}} = 8,800 \times 2 = 17,600\text{ hours}$
• $\mathbf{SH_{\text{Semi}}} = 8,800 \times 3 = 26,400\text{ hours}$
• $\mathbf{SH_{\text{Unskilled}}} = 8,800 \times 4 = 35,200\text{ hours}$
• $\text{Total } SH = 79,200\text{ hours}$

Step 2: Actual Hours Worked and Paid ($8,000\text{ hours}$ total)

Actual composition: Skilled $= 1$, Semi $= 3$, Unskilled $= 5$ (Total $= 9$ workers).

• $\mathbf{AH_{\text{Skilled}}} = 8,000 \times \frac{1}{9} = 888.89\text{ hours}$
• $\mathbf{AH_{\text{Semi}}} = 8,000 \times \frac{3}{9} = 2,666.67\text{ hours}$
• $\mathbf{AH_{\text{Unskilled}}} = 8,000 \times \frac{5}{9} = 4,444.44\text{ hours}$
• $\text{Total } AH = 8,000\text{ hours}$

Step 3: Revised Standard Hours (RSH)

Total Actual Hours ($8,000\text{ hrs}$) in standard ratio ($2 : 3 : 4$):

• $\mathbf{RSH_{\text{Skilled}}} = 8,000 \times \frac{2}{9} = 1,777.78\text{ hours}$
• $\mathbf{RSH_{\text{Semi}}} = 8,000 \times \frac{3}{9} = 2,666.67\text{ hours}$
• $\mathbf{RSH_{\text{Unskilled}}} = 8,000 \times \frac{4}{9} = 3,555.56\text{ hours}$

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Step 4: Variance Calculations

1. Labour Rate Variance (LRV) $= AH \times (SR - AR)$:

   • Skilled: $888.89 \times (10 - 11) = \mathbf{\text{Rs. } 888.89\text{ (A)}}$
   • Semi: $2,666.67 \times (7 - 8) = \mathbf{\text{Rs. } 2,666.67\text{ (A)}}$
   • Unskilled: $4,444.44 \times (5 - 4) = \mathbf{\text{Rs. } 4,444.44\text{ (F)}}$
   • $\mathbf{\text{Total LRV}} = -888.89 - 2,666.67 + 4,444.44 = \mathbf{\text{Rs. } 888.88\text{ (F)}}$

2. Labour Efficiency Variance (LEV) $= SR \times (SH - AH)$:

   • Skilled: $10 \times (17,600 - 888.89) = \mathbf{\text{Rs. } 167,111.10\text{ (F)}}$
   • Semi: $7 \times (26,400 - 2,666.67) = \mathbf{\text{Rs. } 166,133.31\text{ (F)}}$
   • Unskilled: $5 \times (35,200 - 4,444.44) = \mathbf{\text{Rs. } 153,777.80\text{ (F)}}$
   • $\mathbf{\text{Total LEV}} = \mathbf{\text{Rs. } 487,022.21\text{ (F)}}$

3. Labour Cost Variance (LCV) $= \text{LRV} + \text{LEV} = +888.88 + 487,022.21 = \mathbf{\text{Rs. } 487,911.09\text{ (F)}}$

4. Labour Mix Variance (LMV) $= SR \times (RSH - AH)$:

   • Skilled: $10 \times (1,777.78 - 888.89) = \mathbf{\text{Rs. } 8,888.90\text{ (F)}}$
   • Semi: $7 \times (2,666.67 - 2,666.67) = \mathbf{\text{Rs. } 0}$
   • Unskilled: $5 \times (3,555.56 - 4,444.44) = \mathbf{\text{Rs. } 4,444.40\text{ (A)}}$
   • $\mathbf{\text{Total LMV}} = 8,888.90 - 4,444.40 = \mathbf{\text{Rs. } 4,444.50\text{ (F)}}$

5. Labour Yield Variance (LYV) $= SR \times (SH - RSH)$:

   • Skilled: $10 \times (17,600 - 1,777.78) = \text{Rs. } 158,222.20\text{ (F)}$
   • Semi: $7 \times (26,400 - 2,666.67) = \text{Rs. } 166,133.31\text{ (F)}$
   • Unskilled: $5 \times (35,200 - 3,555.56) = \text{Rs. } 158,222.20\text{ (F)}$
   • $\mathbf{\text{Total LYV}} = \mathbf{\text{Rs. } 482,577.71\text{ (F)}}$

Cost-Volume-Profit Computations

Working Notes:

• $\text{Sales Year I} = \text{Cost (400,000)} + \text{Profit (50,000)} = \text{Rs. } 450,000$
• $\text{Sales Year II} = \text{Cost (600,000)} + \text{Profit (100,000)} = \text{Rs. } 700,000$
• $\Delta \text{Sales} = 700,000 - 450,000 = \text{Rs. } 250,000$
• $\Delta \text{Profit} = 100,000 - 50,000 = \text{Rs. } 50,000$
• $\text{P/V Ratio} = \frac{50,000}{250,000} \times 100 = \mathbf{20\%}$
• $\text{Fixed Cost} = (450,000 \times 20\%) - 50,000 = 90,000 - 50,000 = \mathbf{\text{Rs. } 40,000}$

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1. Break-Even Point in Rs.

$$\mathbf{\text{BEP (Rs.)}} = \frac{\text{Fixed Cost}}{\text{P/V Ratio}} = \frac{\text{Rs. } 40,000}{0.20} = \mathbf{\text{Rs. } 200,000}$$

2. Break-Even Point in Units (SPPU = Rs. 100)

$$\mathbf{\text{BEP (Units)}} = \frac{\text{BEP (Rs.)}}{\text{SPPU}} = \frac{\text{Rs. } 200,000}{\text{Rs. } 100} = \mathbf{2,000\text{ units}}$$

3. Sales to Earn Desired Profit After Tax of Rs. 30,000 (Tax = 25%)

$$\text{Required Sales} = \frac{\text{Fixed Cost} + \frac{\text{DPAT}}{1 - t}}{\text{P/V Ratio}} = \frac{40,000 + \frac{30,000}{1 - 0.25}}{0.20} = \frac{40,000 + 40,000}{0.20} = \frac{80,000}{0.20} = \mathbf{\text{Rs. } 400,000}$$

4. Profit when Sales are Rs. 800,000

$$\mathbf{\text{Profit}} = (\text{Sales} \times \text{P/V}) - \text{Fixed Cost} = (800,000 \times 0.20) - 40,000 = 160,000 - 40,000 = \mathbf{\text{Rs. } 120,000}$$

5. Margin of Safety if Profit is Rs. 50,000

$$\mathbf{\text{Margin of Safety (Rs.)}} = \frac{\text{Profit}}{\text{P/V Ratio}} = \frac{\text{Rs. } 50,000}{0.20} = \mathbf{\text{Rs. } 250,000}$$

“Optimum Investment in Inventory is the Main Essence of Inventory Management”

The assertion that optimum investment in inventory is the central essence of inventory management addresses the financial tightrope every manufacturing and trading firm must walk: balancing the risk of under-investment against the cost of over-investment.

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1. The Dangers of Extreme Inventory Policies

• Danger of Over-Investment (Excess Stock):
  • Capital lock-up, reducing liquidity and generating high interest financing costs.
  • High carrying costs (warehousing rent, refrigeration, insurance, handling).
  • Risk of obsolescence, deterioration, evaporation, and physical pilferage.
• Danger of Under-Investment (Inadequate Stock):
  • Production disruptions and costly idle worker/machine downtime.
  • Frequent stock-outs, leading to lost customer sales and brand damage.
  • Inability to benefit from bulk purchase trade discounts.

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2. Core Objectives of Inventory Management Achieving Optimum Balance

1. Ensuring Continuous Supply of Materials: Maintaining scientifically calculated Safety Stocks and Reorder Levels to keep manufacturing running smoothly without stock-out crises.
2. Minimizing Total Inventory Carrying and Ordering Costs: Applying the Economic Order Quantity (EOQ) model where annual carrying costs and ordering costs intersect at their lowest total cost.
3. Eliminating Dead and Slow-Moving Stock: Conducting systematic FSN (Fast, Slow, Non-moving) and ABC analyses to liquidate obsolete items and prioritize working capital toward fast-turning goods.
4. Providing Flexibility in Purchasing: Taking tactical advantage of seasonal market price drops without exceeding maximum storage capacity limits.

Significance of Management Accounting in Planning, Policy Formulation, and Decision Making

Management accounting is the informational nerve center of the modern business enterprise. Unlike statutory financial accounting that looks back, management accounting is forward-looking and purpose-built to help leaders chart strategic courses.

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1. Significance in Formulating Plans and Policies

1. Master Budgeting and Target Setting: Translates corporate goals into quantifiable, departmental targets across sales, production, capital investment, and cash flow.
2. Dynamic Pricing Policies: Uses Target Costing and Marginal Costing to establish competitive baseline prices, promotional discounts, and pricing for tenders and export markets.
3. Long-Term Capital Investment Strategy: Applies DCF techniques (Net Present Value, IRR) to evaluate large-scale acquisitions, technology adoption, and expansion projects.

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2. Significance in Taking Right Managerial Decisions

1. Make-or-Buy Decisions: Compares external supplier quotes against internal relevant marginal costs to decide whether to manufacture components in-house or outsource.
2. Accepting or Rejecting Special Orders: Determines whether special export or off-season orders below normal selling price should be accepted to utilize idle capacity without lowering domestic price levels.
3. Optimizing Constrained Production (Key Factor Analysis): When raw materials or machine hours are restricted, management accounting ranks products by contribution margin per unit of limiting factor to maximize overall profits.
4. Discontinuing Unprofitable Segments: Distinguishes between avoidable direct fixed costs and non-avoidable corporate common overheads to avoid shutting down segments that still yield a positive contribution margin.

Comprehensive Contract Accounting

Working Notes:

1. Work Certified:

   $$\text{Cash Received} = \text{Rs. } 120,000 = 80\% \text{ of Work Certified}$$
   $$\mathbf{\text{Work Certified}} = \frac{\text{Rs. } 120,000}{0.80} = \mathbf{\text{Rs. } 150,000}$$

2. Work Uncertified: Cost includes Material (Rs. 5,000) + Other expenses (Rs. 3,000) $= \mathbf{\text{Rs. } 8,000}$.

3. Plant Valuation at Site on 31st Chaitra:

   • Total Plant issued $= \text{Rs. } 60,000$
   • Less Plant sold (cost) $= (\text{Rs. } 8,000)$
   • Cost of remaining plant $= \text{Rs. } 52,000$
   • Depreciation @ $15\% \text{ p.a.} = 52,000 \times 15\% = \text{Rs. } 7,800$
   • $\mathbf{\text{Closing Value of Plant at Site}} = 52,000 - 7,800 = \mathbf{\text{Rs. } 44,200}$

4. Loss on Sale of Plant:

   • Sold for Rs. 7,000 (Cost Rs. 8,000) $\implies \text{Loss} = 8,000 - 7,000 = \text{Rs. } 1,000$ (transferred to P&L).

5. Transfer to Profit & Loss Account:

   • $\text{Percentage of Work Certified} = \frac{150,000}{200,000} \times 100 = 75\%$.
   • Since $50\% \le 75\% < 90\%$, standard formula applies:
     $$\text{Profit to P\&L} = \text{Notional Profit} \times \frac{2}{3} \times \frac{\text{Cash Received}}{\text{Work Certified}}$$

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(a) Contract Account (for year ended 31st Chaitra 2080)

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(b) Contractee’s Account

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(c) Work-in-Progress Account

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(d) Partial Balance Sheet (as on 31st Chaitra 2080)

Inter-Process Profit Accounts

(a) Process I Account

• Opening Stock $= \text{Rs. } 20,000$; Direct Material $= \text{Rs. } 80,000$; Direct Wages $= \text{Rs. } 60,000$.
• Total Prime Cost $= 20,000 + 80,000 + 60,000 = \text{Rs. } 160,000$.
• Less: Closing Stock (at prime cost) $= (\text{Rs. } 50,000)$.
• Net Prime Cost $= \text{Rs. } 110,000$.
• Add: Production Overhead $= \text{Rs. } 40,000$.
• Total Cost of Process I $= \text{Rs. } 150,000$.
• Profit on transfer to Process II $= 20\% \text{ on cost} = 150,000 \times 20\% = \mathbf{\text{Rs. } 30,000}$.
• Transfer Price to Process II $= 150,000 + 30,000 = \mathbf{\text{Rs. } 180,000}$.

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(b) Process II Account

• Opening Stock $= \text{Total Rs. } 30,000$ (Cost $= 25,000$; Profit $= 5,000$).
• Transfer from Process I $= \text{Total Rs. } 180,000$ (Cost $= 150,000$; Profit $= 30,000$).
• Direct Material $= \text{Rs. } 60,000$; Direct Wages $= \text{Rs. } 40,000$.
• Total before Closing Stock:
  • Total $= 30,000 + 180,000 + 60,000 + 40,000 = \text{Rs. } 310,000$.
  • Cost $= 25,000 + 150,000 + 60,000 + 40,000 = \text{Rs. } 275,000$.
  • Profit $= 5,000 + 30,000 = \text{Rs. } 35,000$.
• Closing Stock in Process II $= \text{Rs. } 60,000$.
  • Profit element $= 60,000 \times \frac{35,000}{310,000} = \mathbf{\text{Rs. } 6,774}$.
  • Cost element $= 60,000 - 6,774 = \mathbf{\text{Rs. } 53,226}$.
• Net after Closing Stock: Total $= 250,000$, Cost $= 221,774$, Profit $= 28,226$.
• Add: Production Overhead $= \text{Rs. } 20,000$ (Cost $= 20,000$).
• Total Cost before transfer: Total $= \text{Rs. } 270,000$ (Cost $= 241,774$; Profit $= 28,226$).
• Profit on transfer to Finished Goods: $25\% \text{ on transfer price} = \frac{25}{75} \text{ on cost} = \frac{1}{3} \text{ on cost}$:
  $$\text{Profit} = 270,000 \times \frac{1}{3} = \mathbf{\text{Rs. } 90,000}$$
• Transfer Price to Finished Stock $= 270,000 + 90,000 = \mathbf{\text{Rs. } 360,000}$ (Cost $= 241,774$; Profit $= 28,226 + 90,000 = 118,226$).

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(c) Finished Stock Account

• Received from Process II $= \text{Total Rs. } 360,000$ (Cost $= 241,774$; Profit $= 118,226$).
• Sold $80\%$:
  • Cost of Goods Sold ($80\%$) $= 80\% \times 360,000 = \text{Rs. } 288,000$ (Cost $= 193,419$; Profit $= 94,581$).
  • Closing Stock ($20\%$) $= \text{Rs. } 72,000$ (Cost $= 48,355$; Profit $= 23,645$).
• Sales Revenue $= \text{Rs. } 420,000$.
• Trading Profit on Sales $= 420,000 - 288,000 = \mathbf{\text{Rs. } 132,000}$.

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(d) Actual Realized Profit

• Trading Profit on Sales $= \text{Rs. } 132,000$
• Realized Inter-Process Profit in sold portion:
  • Process I Profit $= \text{Rs. } 30,000$
  • Process II Profit realized $= \text{Rs. } 90,000$ (transfer) $+ (35,000 - 6,774) = \text{Rs. } 118,226$
  • Total Book Profit $= 30,000 + 90,000 + 132,000 = \text{Rs. } 252,000$
  • Stock Reserve Opening $= \text{Rs. } 5,000$
  • Stock Reserve Closing: Process II (Rs. 6,774) + Finished Goods (Rs. 23,645) $= \text{Rs. } 30,419$
  • Net increase in unrealized stock reserve $= 30,419 - 5,000 = \text{Rs. } 25,419$
• Total Realized Profit $= 252,000 - 25,419 = \mathbf{\text{Rs. } 226,581}$

(a) Cost Reduction: Meaning, Nature, and Scope

Meaning

Cost reduction is the achievement of a real, permanent, and sustainable reduction in the unit cost of goods manufactured or services rendered without sacrificing their quality, suitability, reliability, or consumer appeal.

Nature of Cost Reduction

• Permanent and Non-Reversible: It focuses on eliminating systemic structural wastes (not temporary expedients like wage freezes or using cheap, inferior materials).
• Proactive and Continual: It operates under the Kaizen philosophy that every current standard is imperfect and capable of continuous improvement.
• Value Preserving: It rigorously protects or enhances product functionality, safety, and brand aesthetics.

Scope of Cost Reduction

1. Product Design & Engineering: Redesigning components through value analysis to eliminate superfluous parts and simplify assembly.
2. Production Operations & Workflow: Reorganizing factory shop-floor layouts, eliminating bottlenecks, and optimizing material flows through work study.
3. Purchasing & Logistics: Bulk procurement, strategic vendor partnerships, and JIT inventory scheduling.
4. Administration & Marketing: Automating repetitive data entry, rationalizing distribution routes, and eliminating unproductive marketing expenditures.

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(b) Batch Costing: Meaning and Distinctive Features

Meaning

Batch costing is a specific costing technique applied when identical products are produced in defined, repetitive batches or lots (e.g., pharmaceutical medicines, bakeries, canned foods, readymade garments, electronic components).

Distinctive Features of Batch Costing

1. Batch as a Distinct Cost Unit: Each manufactured batch is allocated a unique Batch Order Number, and costs (materials, labor, setups) are accumulated separately for that entire lot.
2. Determination of Economic Batch Quantity (EBQ): Uses the EBQ mathematical formula to determine the batch size where machine setup costs and inventory carrying costs are minimized:
   $$\text{EBQ} = \sqrt{\frac{2 \times D \times S}{C \left(1 - \frac{D}{P}\right)}}$$
3. Unit Cost Determination: Computed by dividing total batch cost by total units successfully completed in that batch:
   $$\text{Cost per Unit} = \frac{\text{Total Batch Cost}}{\text{Total Finished Units in Batch}}$$
4. Homogeneity within Batches: All individual articles within a given batch are identical in design, size, and technical specifications.