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Current PHC project accounts unavailable. No general-gift restriction inferred."],["Cash unit","$150 / $1,500 / $1,500","Completed appropriate dispense/fitting/denture episode; includes all recruitment failures, examinations funded by PHC, follow-up, navigation, allocated sponsor fee/admin. Glasses/denture fundraising examples $50/$1,000 are incomplete-cost fundraising anchors, not proven lower bounds, not invoices; hearing cost is prior. Ranges$75–300/$750–3000/$1000–3000."],["Outside resources","$100 / $1,000 / $1,000 per nominal episode","Prior$0–300/$0–2000/$0–2000. Partner/insured clinical care, donated labor, devices and patient time not already donor-paid. Gross associated resource envelope, no public offsets."],["Funding and capacity","50% funding additionality; caps100/5/8 additional completed episodes in one year","Priors. Financial replacement separate from patient alternatives. Caps plausible bounded absorption, not a quoted offer or current queue. Actual verified room null; cap0 diagnostic."],["No overlapping people","Primary health ledger: glasses first, then hearing excluding glasses recipients, dentures excluding both","Shares1/.8/.8 are analyst fractions of completed episodes in disjoint patient-year cohorts. For discarded overlapping people, all costs and procedural harms remain; no second generic-utility credit. Actual identity linkage unavailable."],["Utility","Glasses .0375; hearing .02; dentures .03","Signed preference-utility priors while effectively corrected. External glasses before/after .075 in41/113 follow-ups, not causal full-cohort effect. Hearing and denture randomized symptom/oral results are not directly QALYs. Ranges-.02–.075 /-.02–.05 /-.02–.08. No separate social/mental-health score credit."],["Finite health","At most one benefit year after delayed care starts; effective use .75/.6/.7; delay .1/.25/.25 years","Priors for wear/fit/breakage within the year after care starts and delayed access, no multiyear extrapolation. Fraction without equivalent alternative correction during the year .7/.7/.6; remaining receive zero credit. Do not reapply referral-completion probability to completed-unit costs."],["Public baseline","Medi-Cal optical, hearing and dental services plus public/charity partners continue","Coverage/eligibility vary; not all PHC participants have accessible care. Dental changes across official pages have inconsistent dates; no unsupported eligibility-specific treatment effect is inferred."],["Harm","Per added completed episode .0002/.001/.002 QALY; independent0","Gift-date PV losses beyond signed durable utility. Charged on every additional completed episode before patient overlap/alternative filters; conservative since alternative-treatment harms not subtracted. Includes repeated fittings; no activity multiplier for independent harm."],["Geography","95%SF /98%Bay /100%US","Nested recipient-health residence priors, not observed addresses. Same denominators; never sum nested QALYs."],["Other portfolio outside resources","$10,000 per gift; range0–50,000","Explicit allowance for donated/partner inputs to otherwise unquantified activities, beyond donor-paid55% remainder. Not sponsor-wide accounts or a measured marginal external cost."]],"scenarios":[{"id":"central","overrides":{}},{"id":"favorable","overrides":{"all":{"financial_additionality":0.8,"alternative_free_share":0.9,"nonoverlap_share":1,"effective_use":0.9},"pathways":{"glasses":{"allocation":0.4,"cash_per_completed":75,"max_additional_completed":500,"utility":0.075},"hearing":{"allocation":0.15,"cash_per_completed":750,"max_additional_completed":30,"utility":0.05},"dentures":{"allocation":0.2,"cash_per_completed":1000,"max_additional_completed":25,"utility":0.08}}}},{"id":"cautious","overrides":{"all":{"financial_additionality":0.2,"alternative_free_share":0.3,"effective_use":0.3,"utility":0.01},"pathways":{"glasses":{"allocation":0.05,"cash_per_completed":300},"hearing":{"allocation":0.05,"cash_per_completed":3000},"dentures":{"allocation":0.05,"cash_per_completed":3000}}}},{"id":"low_allocation","overrides":{"pathways":{"glasses":{"allocation":0.05},"hearing":{"allocation":0.025},"dentures":{"allocation":0.0375}}}},{"id":"low_additionality","overrides":{"all":{"financial_additionality":0.1}}},{"id":"rapid_alternative_access","overrides":{"all":{"alternative_free_share":0.1}}},{"id":"source_attrition_glasses","overrides":{"pathways":{"glasses":{"utility":0.013606194690265486}}}},{"id":"glasses_only_health","overrides":{"pathways":{"hearing":{"utility":0},"dentures":{"utility":0}}}},{"id":"no_funding_additionality","overrides":{"all":{"financial_additionality":0}}},{"id":"no_capacity","overrides":{"all":{"max_additional_completed":0}}},{"id":"null_health","overrides":{"all":{"utility":0,"procedure_harm_q":0}}},{"id":"signed_harm","overrides":{"all":{"utility":-0.02}}},{"id":"independent_harm_zero_activity","overrides":{"all":{"financial_additionality":0},"independent_harm_us_q":1}},{"id":"limited_capacity","overrides":{"pathways":{"glasses":{"max_additional_completed":10},"hearing":{"max_additional_completed":1},"dentures":{"max_additional_completed":1}}}},{"id":"outside_resources_donor_paid","overrides":{"pathways":{"glasses":{"cash_per_completed":250,"external_per_nominal":0,"allocation":0.18},"hearing":{"cash_per_completed":2500,"external_per_nominal":0,"allocation":0.09},"dentures":{"cash_per_completed":2500,"external_per_nominal":0,"allocation":0.135}},"external_other_usd":0}}]},"evaluated":[{"id":"central","components":[{"id":"glasses","cash":20000,"nominal":133.33333333333334,"additional":66.66666666666667,"distinct":66.66666666666667,"years":0.7281013529156217,"gross_q":1.2741773676023378,"harm_q":0.013333333333333334,"net_q":1.2608440342690044,"external":13333.333333333334},{"id":"hearing","cash":10000,"nominal":6.666666666666667,"additional":3.3333333333333335,"distinct":2.666666666666667,"years":0.5781670772531095,"gross_q":0.02158490421744942,"harm_q":0.0033333333333333335,"net_q":0.018251570884116088,"external":6666.666666666667},{"id":"dentures","cash":15000,"nominal":10,"additional":5,"distinct":4,"years":0.6745282567952943,"gross_q":0.04856603448926118,"harm_q":0.01,"net_q":0.03856603448926118,"external":10000}],"allocated_fraction":0.45000000000000007,"unmodeled_cash":54999.99999999999,"gift_usd":100000,"gross_resource_usd":140000,"us_q":1.3176616396423815,"bay_q":1.2913084068495337,"sf_q":1.2517785576602622,"donor_us_per_10q":758920.1733697006,"donor_bay_per_10q":774408.3401731638,"donor_sf_per_10q":798863.3403891586,"resource_us_per_10q":1062488.2427175806,"resource_bay_per_10q":1084171.6762424293,"resource_sf_per_10q":1118408.676544822,"status":"positive"},{"id":"favorable","components":[{"id":"glasses","cash":40000,"nominal":533.3333333333334,"additional":426.66666666666674,"distinct":426.66666666666674,"years":0.873721623498746,"gross_q":25.16318275676389,"harm_q":0.08533333333333336,"net_q":25.077849423430557,"external":53333.333333333336},{"id":"hearing","cash":15000,"nominal":20,"additional":16,"distinct":16,"years":0.8672506158796641,"gross_q":0.6244204434333582,"harm_q":0.016,"net_q":0.6084204434333582,"external":20000},{"id":"dentures","cash":20000,"nominal":20,"additional":16,"distinct":16,"years":0.8672506158796641,"gross_q":0.9990727094933732,"harm_q":0.032,"net_q":0.9670727094933732,"external":20000}],"allocated_fraction":0.75,"unmodeled_cash":25000,"gift_usd":100000,"gross_resource_usd":203333.33333333334,"us_q":26.65334257635729,"bay_q":26.120275724830144,"sf_q":25.320675447539422,"donor_us_per_10q":37518.74636868416,"donor_bay_per_10q":38284.43507008588,"donor_sf_per_10q":39493.41723019386,"resource_us_per_10q":76288.11761632447,"resource_bay_per_10q":77845.0179758413,"resource_sf_per_10q":80303.28170139418,"status":"positive"},{"id":"cautious","components":[{"id":"glasses","cash":5000,"nominal":16.666666666666668,"additional":3.333333333333334,"distinct":3.333333333333334,"years":0.29124054116624865,"gross_q":0.002912405411662487,"harm_q":0.0006666666666666669,"net_q":0.00224573874499582,"external":1666.6666666666667},{"id":"hearing","cash":5000,"nominal":1.6666666666666667,"additional":0.33333333333333337,"distinct":0.266666666666666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