23.1 Discounted Fleet Cost and Evaluation Assumptions

Worked Procurement Scenario: Municipal Clean Fleet Evaluation

To understand how LCC analysis influences public contract awards, consider a hypothetical municipal fleet procurement:

The Procurement Need: The City Department of Transportation is procuring five (5) commercial passenger shuttle vans to operate continuous public paratransit routes. The solicitation establishes a mandatory 5-year operating horizon ($n = 5$), an annual utilization baseline of 30,000 miles per van per year, and an official municipal discount rate of 5.0% ($r = 0.05$).

The agency receives two responsive, responsible bids from qualified vehicle manufacturers:

• Bidder A (Standard Fleet Van):
  • Initial Acquisition Cost ($C_0$): $55,000 per van
  • Annual Fuel & Consumables: $14,000 per year
  • Annual Scheduled & Corrective Maintenance: $6,000 per year
  • Total Annual Operating Cost ($C_t$): $20,000 per year
  • Projected Salvage Value at Year 5 ($S_5$): $10,000 per van
• Bidder B (Eco-Efficient Hybrid Fleet Van):
  • Initial Acquisition Cost ($C_0$): $75,000 per van ($20,000 higher upfront price!)
  • Annual Fuel & Consumables: $6,000 per year (superior fuel economy)
  • Annual Scheduled & Corrective Maintenance: $3,500 per year (regenerative braking, reduced engine wear)
  • Total Annual Operating Cost ($C_t$): $9,500 per year
  • Projected Salvage Value at Year 5 ($S_5$): $15,000 per van (higher commercial resale demand)

Step-by-Step Discount Factor Calculation

At a 5% discount rate ($r = 0.05$), the annual discount factor $\frac{1}{(1 + r)^t}$ for each year is:

• Year 1: $\frac{1}{(1.05)^1} = 0.9524$
• Year 2: $\frac{1}{(1.05)^2} = 0.9070$
• Year 3: $\frac{1}{(1.05)^3} = 0.8638$
• Year 4: $\frac{1}{(1.05)^4} = 0.8227$
• Year 5: $\frac{1}{(1.05)^5} = 0.7835$
• Cumulative 5-Year Present Value Annuity Factor: $\sum_{t=1}^{5} \frac{1}{(1.05)^t} = 4.3294766706$, approximately 4.3295. Sum unrounded factors for calculation; the rounded annual values displayed above sum to 4.3294.

Discounted cost calculation using unrounded factors

Assume all operating payments occur at year-end and salvage is received at the end of year 5. At 5%, the annuity factor is 4.3294766706 and the year-5 discount factor is 0.7835261665.

The fleet present-cost difference is $146,885.68 using full precision. Rounding individual display rows can create a one-cent difference; calculate totals with unrounded factors. The higher initial purchase price is $100,000 for five hybrid vans, but the lower modeled operating cost and higher salvage more than offset it under these assumptions.

Comparison: Acquisition Cost Only vs. Total Cost of Ownership

Statutory Solicitation Requirements for LCC Contract Awards

Because life-cycle costing relies on mathematical modeling rather than simple invoice inspection, public purchasing statutes strictly regulate how LCC may be utilized in competitive solicitations.

Under the ABA Model Procurement Code and state public bidding laws, a public agency cannot award a contract based on life-cycle costing unless all evaluation parameters were fully and transparently disclosed in the original solicitation document. An agency that evaluates bids on an unannounced LCC formula will face a substantial risk of protest and corrective action.

To conduct a legally unassailable LCC procurement, the solicitation must publish:

1. The Exact Evaluation Formula: The complete mathematical equation used to calculate total evaluated cost, including the discount rate ($r$);
2. Standardized Operational Baselines: Fixed, uniform utilization metrics that all offerors must use (e.g., "All bids will be evaluated based on 30,000 operating miles per year for 5 years at $3.50 per gallon of diesel fuel"). If offerors use different operating baselines, objective comparison is impossible;
3. Required Data Submissions: Specific technical data offerors must provide (e.g., certified laboratory energy consumption test results, EPA fuel economy ratings, scheduled maintenance part lists);
4. Data Verification Protocols: The independent testing standards or third-party engineering databases the agency will use to verify contractor claims (e.g., AHRI HVAC efficiency ratings, SAE fleet performance standards); and
5. Contractual Warranties for Performance: Provisions holding the awarded vendor legally and financially accountable if the asset fails to achieve the energy efficiency or maintenance targets claimed in the proposal (e.g., energy performance guarantees or liquidated damages for excess fuel consumption).