2/24/25

Overview

  • This lecture focuses on cost allocation using different methods and algebraic equations to establish departmental costs.

Janitorial Costs Equation

  • The total janitorial cost can be expressed as:J = 310,000 + 0.20 * CWhere:

    • J = Total janitorial cost

    • C = Cafeteria cost (which includes 50% of janitorial cost)

Cafeteria Costs Equation

  • The cafeteria costs are calculated in relation to the janitorial costs. The second equation is derived to express C in terms of J: C - 69,000 = 0.50 * J

  • Rearranging gives: C = 0.50 * J + 69,000

Combine Previous Equations

  • Substitute in the cafeteria equation to the janitorial equation:

    • Replace J in J = 310,000 + 0.20*C causing restructuring: C - 69,000 = 0.50(310,000 + 0.20*C)

  • After multiplying through to clear the fraction, simplify step-by-step to eliminate coefficients.

Solving for C

  • Continue manipulation to isolate C leading to: C = 360,000

  • Substitute the newly found C back into janitorial equation to find: J = 382,000

    • Reflects the total janitorial and cafeteria allocation.

Allocation to Production Departments

  • Cafeteria department costs breakdown:

    • Cafeteria costs:

      • Allocated to cutting: 38,200

      • Allocated to assembly: 52,800

      • Total: 382,000

Overview of Allocation Method

  • Explained that costs should be allocated based on appropriate drivers (e.g., square footage for janitorial and machine hours for maintenance).

  • The discussion emphasizes the reciprocal services method as a more accurate cost allocation compared to direct or sequential methods.

Second Example: Cost Allocations in Film Industry

  • Security costs shared based on asset values, meals based on headcount. Equate costs as follows:

    • Security cost equation: X = 250,000 + 0.20 * Y

    • Meals cost equation: Y = 460,000 +0.10 * X

  • Solve through similar algebraic methods as previously discussed to establish both X and Y.

Approach to Total Allocation

  • Using similar algebraic approaches, X and Y values lead to:

    • Final X calculation = 350,000 for security department costs

    • Final Y calculations = 500,000 for meals department costs

Final Allocation and Zeroing Out

  • Highlight the fact that after all calculations, support department services should equal zero allowing for total cost application to production departments.

Summary of Joint and Unit Cost Allocation

  • Discussed joint costs for multiple products, managed through weighted averages based on specs like mixing efficiency.

    • Joint cost for producing milk, yogurt, and buttercream set at 15,000.

    • Cost allocation directly driven by product output quantity and processing needs.

Takeaways

  • Importance of understanding and applying different methods of allocation in operational contexts (direct, sequential, reciprocal).

  • Importance of resolving algebra for financial accuracy in departmental cost alignment.

  • Always review provided parameters to confirm accurate calculations.