Worked example · EX:economics-and-market-foundations/compare-rowan-vale-advantages

Compare Rowan and Vale's production advantages

Distinguish absolute productivity from comparative advantage by computing reciprocal opportunity costs on two fictional linear frontiers.

Updated Aug 7, 2026 Review due Nov 7, 2026
On this page
  1. Compare like with like
  2. Compare sacrifices, not just maxima
  3. Interpretation boundary
Worked-example setupScope and assumptions
  • Rowan Advisory, Vale Analytics, and all output quantities are fictional teaching facts from the linked dataset.
  • Each producer receives one comparable analyst-day, uses a fixed linear technology, and applies the same supplied output and quality definitions.
  • The comparison excludes prices, wages, contracting, switching, coordination, quality-verification, and distributional effects.
Period
One fictional analyst-day per producer
Units
Completed outputs per analyst-day; opportunity cost in units of the forgone output
Rounding
Exact ratios

Compare like with like

Give each fictional producer one comparable analyst-day and hold output quality constant.

Producer Maximum reconciliations Maximum forecasts Forecasts forgone per reconciliation Reconciliations forgone per forecast
Rowan 12 6 0.5 2
Vale 4 4 1.0 1

Rowan can produce more of either output, so Rowan has absolute advantage in both. That comparison asks who can produce more with the common resource.

Compare sacrifices, not just maxima

Rowan gives up half a forecast for one more reconciliation; Vale gives up one forecast. Rowan has comparative advantage in reconciliations because Rowan's opportunity cost is lower.

Read the reciprocal column for forecasts. Rowan gives up two reconciliations per forecast, while Vale gives up one. Vale has comparative advantage in forecasts despite having absolute advantage in neither output.

The reciprocal pattern is not a contradiction. Comparative advantage assigns relative cost within each producer's alternatives. Absolute advantage compares output levels across producers.

Interpretation boundary

The result identifies a specialization direction inside this model. It does not establish that a services contract is lawful, profitable, reliable, fair, or operationally feasible. Before recommending actual reallocation, investigate prices, quality, professional duties, transition and coordination costs, bargaining power, workload, and who bears risk.

Verified calculation · economics foundations analysis

The curriculum loader recomputed this example before it entered the site build. Expand any structured input to inspect the stated facts.

comparative advantage
1 field
Inspect data
{
  "rowan_vale": {
    "output_a_name": "reconciliations",
    "output_b_name": "forecasts",
    "producers": {
      "rowan": {
        "baseline_output_a": 8,
        "baseline_output_b": 2,
        "max_output_a": 12,
        "max_output_b": 6
      },
      "vale": {
        "baseline_output_a": 3,
        "baseline_output_b": 1,
        "max_output_a": 4,
        "max_output_b": 4
      }
    },
    "proposed_b_per_a": 0.75
  }
}

Recomputed result

Values recomputed by the curriculum loader
MeasureValue
rowan absolute advantage output a1
rowan absolute advantage output b1
rowan comparative advantage output a1
rowan opportunity cost output a in output b0.5
rowan opportunity cost output b in output a2
vale comparative advantage output b1
vale opportunity cost output a in output b1
vale opportunity cost output b in output a1