Table 10.

Optimal ventilator allocation under different scenarios and budgets with unit ventilator cost of $5000.

Scenario	County	Stage	Stage	Total	Stage	Stage	Total	Stage	Stage	Total
		1	2	Ventilator	1	2	Ventilator	1	2	Ventilator
		(Budget=$\$10$M)			(Budget=$\$20$M)			(Budget=$\$30$M)
All Low	New York	0	0	0	0	86	86	780	82	${970}^{*}$
	Kings	119	0	119	418	0	418	120	1950	${2119}^{*}$
	Queens	105	1120	1225	1225	0	1225	4	0	4
	Bronx	28	0	28	28	988	1016	28	988	1016
	Richmond	18	0	18	18	314	332	17	315	${341}^{*}$
	Hudson	0	250	250	247	3	${254}^{*}$	0	250	${544}^{*}$
	Bergen	14	128	142	13	438	451	13	438	${530}^{*}$
	Essex	0	218	218	218	0	218	0	218	${475}^{*}$
Total		284	1716	2000	2167	1829	${4000}^{*}$	962	4241	${5999}^{*}$
All Medium	New York	0	0	0	0	0	0	780	0	780
	Kings	119	0	119	418	25	443	120	1950	2070
	Queens	105	776	881	1225	0	1225	4	1187	1191
	Bronx	28	44	72	28	988	1016	28	989	1017
	Richmond	18	0	18	18	379	397	17	6	23
	Hudson	0	245	245	247	3	250	0	250	250
	Bergen	14	437	451	13	438	451	13	438	451
	Essex	0	214	214	218	0	218	0	218	218
Total		284	1716	2000	2167	1833	4000	9,62	5038	6000
All High	New York	0	0	0	0	0	0	780	82	${2190}^{*}$
	Kings	119	0	119	418	0	418	120	1950	2070
	Queens	105	137	242	1225	0	1225	4	0	4
	Bronx	28	924	952	28	988	1016	28	988	1016
	Richmond	18	0	18	18	404	422	17	34	51
	Hudson	0	0	0	247	3	250	0	0	0
	Bergen	14	437	451	13	438	451	13	438	451
	Essex	0	218	218	218	0	218	0	218	218
Total		284	1716	2000	2167	1833	4000	962	3710	${6000}^{*}$

${}^{*}$Some of the ventilators are allocated at stages three and four.