Luna Sol Group
Illustrative operating case | Synthetic model
Choose improvements that increase finished output.
A constrained plant needs more than faster tasks. This operating case shows how to select a quality intervention by finished output, customer commitments and the strongest feasible alternative.

Model at a glance
94 of 94 demanded units
The modeled quality option meets the full campaign demand. Its contribution is 98 synthetic monetary units above the finishing-setup alternative, under the stated partial-service comparison.
Illustrative model only. SYN is a synthetic accounting unit. These figures are not client results, revenue or realized savings.
Executive brief
Prioritize the constraint that changes customer fulfillment.
Role
Proposed operating advisor
Mandate
Plant improvement selection
Operating lens
Flow, quality and customer service
Operating case
The challenge
A plant sponsor must choose among preparation speed, finishing setup and first-pass quality projects. All three sound useful; only some can change what the customer receives. The illustrative campaign contains two product families, a preparation window followed by finishing, rework and a scarce improvement team. The original demand is 54 units of one product and 40 of the other.
The current method completes 81 of those 94 units. Finishing consumes its full available window while preparation retains spare time. A local productivity target therefore risks rewarding activity that cannot improve the constrained flow.
The approach
Luna Sol’s proposed approach starts at the work: trace original orders through preparation, first-pass finishing, rework and final release. Reconcile losses with operators and production, quality and maintenance owners. Preserve original due dates and product requirements so a revised denominator cannot conceal unfilled demand.
The worked model enumerates the permitted batch mixes and action combinations, then applies resource limits, the specialist budget and declared service floors. It compares contribution after incremental project charges. A separate full-service scenario requires every demanded unit, because an economically attractive partial-service plan is not automatically an acceptable customer plan.
The decision
Halving preparation hours from 22 to 11 leaves completed output at 81 units and reduces modeled contribution by the project charge. The quality option produces all 94 units. Finishing setup produces 90. Under the partial-service comparison, the quality option generates 1,116 SYN versus 1,018 SYN for finishing setup.
The decisive comparison is with the best feasible alternative. At the declared prices, the quality project’s campaign charge can rise to 178 SYN before it ties finishing setup. Comparing only with doing nothing would incorrectly permit 208 SYN. If complete service is mandatory, however, finishing setup is not a qualifying substitute: the sponsor must resolve the customer, capacity or cost decision explicitly.
How the work would reach the frontline
The proposed engagement produces a reconciled loss ledger, a short cause register, an improvement contract and a release plan. Production owns feasibility; Quality authorizes process changes; Finance validates avoidable economics. Operators demonstrate the new standard without facilitator intervention before responsibility transfers to the line team.
Scaling depends on observed mechanism, preserved customer service and a prospective evaluation. Workshop completion, released preparation hours and model feasibility are useful inputs; none establishes realized financial impact.
Designed operating system
An operating system for improvement
Diagnose the complete flow
Keep original demand, quality disposition and the limiting resource in one loss ledger.
Select the economic alternative
Compare feasible options under the same service commitment and incremental-cost boundary.
Transfer capability
Assign decision rights, demonstrate standard work and define the evidence that permits scale.

Decision value
A stronger investment threshold
The analysis replaces a local-speed argument with a customer-output decision and a comparator-specific break-even. Its most useful finding is the 30 SYN gap between a do-nothing hurdle and the correct alternative-based hurdle.
In an engagement, the next step would be to validate the quality mechanism and resource assumptions with a bounded trial, then compare mature customer outcomes and incremental cost. The numerical result is conditional on invented inputs.
Attribution
Luna Sol authored this illustrative operating design and reproducible analysis. The scenario, figures and modeled conditions are invented. Proposed responsibilities describe how an engagement would be approached; they do not claim a completed client engagement, implementation or realized benefit.
Evidence
Explore the evidence behind the work.
The 18-page public case contains the scenario assumptions, calculations, primary-method references, sensitivity analysis, evaluation design and limitations. The web story summarizes that document; it is not a new source of historical performance.