MA.2:5 - Archetypal Grounding

A service purchases 100 scheduled qualified staff-hours for 2,400 in a period. An adequate supplied operating account identifies 20 hours unavailable for the service, 50 used on service work, 10 held as justified reserve and 20 otherwise unused usable hours. The account reconciles 20 + 50 + 10 + 20 = 100.

Dividing 2,400 by all 100 supplied hours gives 24 per supplied hour. Dividing it by the 50 service hours gives 48 per used service hour. Neither division establishes the payment avoided by releasing another hour.

A changed method releases two service hours. Pay remains 2,400 under the arrangement. The result is two hours of released capability, subject to their actual usefulness in the schedule. Multiplying two by 24 or 48 does not establish a cash saving.

Consider an extra request under the original arrangement, before the method change. It needs 25 hours in the same window. The supplied operating account permits ordinary commitment of only the 20 unused hours while retaining the reserve. A feasible additional block of 20 hours costs 500 under the supplied terms. The model returns the five-hour gap and the block’s payment, or the question whether OPS should change the reserve or option. It does not silently consume the reserve to make the request fit.