ÐÏࡱá>þÿ   þÿÿÿ ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ* W32 + 13 * W31 + 40 * W28 + 35 * W27 + 30 * W26 + 25 * W25 + 20 * W24 + 15 * W23 + 7 * W22 + 15 * W21 + 52 * W18 + 47 * W17 + 42 * W16 + 37 * W15 + 32 * W14 + 27 * W13 + 22 * W12 + 14 * W11; ! Probabilities sum to 1; W88 + W87 + W86 + W85 + W84 + W83 + W82 + W81 + W78 + W77 + W76 + W75 + W74 + W73 + W72 + W71 + W68 + W67 + W66 + W65 + W64 + W63 + W62 + W61 + W58 + W57 + W56 + W55 + W54 + W53 + W52 + W51 + W48 + W47 + W46 + W45 + W44 + W43 + W42 + W41 + W38 + W37 + W36 + W35 + W34 + W33 + W32 + W31 + W28 + W27 + W26 + W25 + W24 + W23 + W22 + W21 + W18 + W17 + W16 + W15 + W14 + W13 + W12 + W11 = 1; ! Prob{out of state 1}- Prob{ into state 1} = 0; - .4 * W82 - .5 * W81 - .4 * W72 - .5 * W71 - .4 * W62 - .5 * W61 - .4 * W52 - .5 * W51 - .4 * W42 - .5 * W41 - .4 * W32 - .5 * W31 - .4 * W22 - .5 * W21 + W18 + W17 + W16 + W15 + W14 + W13 + .6 * W12 + .5 * W11 = 0; ! Into state 2; - .4 * W83 - .1 * W82 - .5 * W81 - .4 * W73 - .1 * W72 - .5 * W71 - .4 * W63 - .1 * W62 - .5 * W61 - .4 * W53 - .1 * W52 - .5 * W51 - .4 * W43 - .1 * W42 - .5 * W41 - .4 * W33 - .1 * W32 - .5 * W31 + W28 + W27 + W26 + W25 + W24 + .6 * W23 + .9 * W22 + .5 * W21 - .4 * W13 - .1 * W12 - .5 * W11 = 0; ! Into state 3; - .4 * W84 - .1 * W83 - .5 * W82 - .4 * W74 - .1 * W73 - .5 * W72 - .4 * W64 - .1 * W63 - .5 * W62 - .4 * W54 - .1 * W53 - .5 * W52 - .4 * W44 - .1 * W43 - .5 * W42 + W38 + W37 + W36 + W35 + .6 * W34 + .9 * W33 + .5 * W32 + W31 - .4 * W24 - .1 * W23 - .5 * W22 - .4 * W14 - .1 * W13 - .5 * W12 = 0; ! Into state 4; - .4 * W85 - .1 * W84 - .5 * W83 - .4 * W75 - .1 * W74 - .5 * W73 - .4 * W65 - .1 * W64 - .5 * W63 - .4 * W55 - .1 * W54 - .5 * W53 + W48 + W47 + W46 + .6 * W45 + .9 * W44 + .5 * W43 + W42 + W41 - .4 * W35 - .1 * W34 - .5 * W33 - .4 * W25 - .1 * W24 - .5 * W23 - .4 * W15 - .1 * W14 - .5 * W13 = 0; ! Into state 5; - .4 * W86 - .1 * W85 - .5 * W84 - .4 * W76 - .1 * W75 - .5 * W74 - .4 * W66 - .1 * W65 - .5 * W64 + W58 + W57 + .6 * W56 + .9 * W55 + .5 * W54 + W53 + W52 + W51 - .4 * W46 - .1 * W45 - .5 * W44 - .4 * W36 - .1 * W35 - .5 * W34 - .4 * W26 - .1 * W25 - .5 * W24 - .4 * W16 - .1 * W15 - .5 * W14 =0; ! Into state 6; - .4 * W87 - .1 * W86 - .5 * W85 - .4 * W77 - .1 * W76 - .5 * W75 + W68 + .6 * W67 + .9 * W66 + .5 * W65 + W64 + W63 + W62 + W61 - .4 * W57 - .1 * W56 - .5 * W55 - .4 * W47 - .1 * W46 - .5 * W45 - .4 * W37 - .1 * W36 - .5 * W35 - .4 * W27 - .1 * W26 - .5 * W25 - .4 * W17 - .1 * W16 - .5 * W15 = 0; ! Into state 7; - .4 * W88 - .1 * W87 - .5 * W86 + .6 * W78 + .9 * W77 + .5 * W76 + W75 + W74 + W73 + W72 + W71 - .4 * W68 - .1 * W67 - .5 * W66 - .4 * W58 - .1 * W57 - .5 * W56 - .4 * W48 - .1 * W47 - .5 * W46 - .4 * W38 - .1 * W37 - .5 * W36 - .4 * W28 - .1 * W27 - .5 * W26 - .4 * W18 - .1 * W17 - .5 * W16 = 0;! ! Into state 8; .4 * W88 + .5 * W87 + W86 + W85 + W84 + W83 + W82 + W81 - .6 * W78 - .5 * W77 - .6 * W68 - .5 * W67 - .6 * W58 - .5 * W57 - .6 * W48 - .5 * W47 - .6 * W38 - .5 * W37 - .6 * W28 - .5 * W27 - .6 * W18 - .5 * W17 = 0; END MODEL: MIN = 10 * W88 + 18 * W87 + 23 * W86 + 28 * W85 + 33 * W84 + 38 * W83 + 43 * W82 + 48 * W81 + 16 * W78 + 8 * W77 + 16 * W76 + 21 * W75 + 26 * W74 + 31 * W73 + 36 * W72 + 41 * W71 + 19 * W68 + 14 * W67 + 6 * W66 + 14 * W65 + 19 * W64 + 24 * W63 + 29 * W62 + 34 * W61 + 22 * W58 + 17 * W57 + 12 * W56 + 4 * W55 + 12 * W54 + 17 * W53 + 22 * W52 + 27 * W51 + 25 * W48 + 20 * W47 + 15 * W46 + 10 * W45 + 2 * W44 + 10 * W43 + 15 * W42 + 20 * W41 + 28 * W38 + 23 * W37 + 18 * W36 + 13 * W35 + 8 * W34 + 8 þÿÿÿýÿÿÿþÿÿÿþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot EntryÿÿÿÿÿÿÿÿCONTENTSÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ  !"#$%&'()*+,-./012345678þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿRoot Entryÿÿÿÿÿÿÿÿ*0_šîÏ»òÀð^°çWgfþÄÀContentsÿÿÿÿÿÿÿÿÿÿÿÿ½ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿþÿÿÿýÿÿÿþÿÿÿþÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ  !"#$%&'()*+,-./0123456789:;<=>þÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿì‹{\rtf1\ansi\ansicpg1252\deff0\deflang1033{\fonttbl{\f0\fnil\fcharset0 Courier New;}} {\colortbl ;\red0\green0\blue255;\red0\green0\blue0;\red0\green175\blue0;} \viewkind4\uc1\pard\cf1\f0\fs20 MODEL\cf2 : \par \cf1 MIN\cf2 = 10 * W88 + 18 * W87 + 23 * W86 + 28 * W85 + 33 * W84 + 38 * W83 + 43 * W82 + 48 * W81 + 16 * W78 + 8 * W77 + 16 * W76 + 21 * W75 + 26 * W74 + 31 * W73 + 36 * W72 + 41 * W71 + 19 * W68 + 14 * W67 + 6 * W66 + 14 * W65 + 19 * W64 + 24 * W63 + 29 * W62 + 34 * W61 + 22 * W58 + 17 * W57 + 12 * W56 + 4 * W55 + 12 * W54 + 17 * W53 + 22 * W52 + 27 * W51 + 25 * W48 + 20 * W47 + 15 * W46 + 10 * W45 + 2 * W44 + 10 * W43 + 15 * W42 + 20 * W41 + 28 * W38 + 23 * W37 + 18 * W36 + 13 * W35 + 8 * W34 + 8 * W32 + 13 * W31 + 40 * W28 + 35 * W27 + 30 * W26 + 25 * W25 + 20 * W24 + 15 * W23 + 7 * W22 + 15 * W21 + 52 * W18 + 47 * W17 + 42 * W16 + 37 * W15 + 32 * W14 + 27 * W13 + 22 * W12 + 14 * W11; \par \cf3 ! Probabilities sum to 1;\cf2 \par W88 + W87 + W86 + W85 + W84 + W83 + W82 + W81 + W78 + W77 + W76 + W75 + W74 + W73 + W72 + W71 + W68 + W67 + W66 + W65 + W64 + W63 + W62 + W61 + W58 + W57 + W56 + W55 + W54 + W53 + W52 + W51 + W48 + W47 + W46 + W45 + W44 + W43 + W42 + W41 + W38 + W37 + W36 + W35 + W34 + W33 + W32 + W31 + W28 + W27 + W26 + W25 + W24 + W23 + W22 + W21 + W18 + W17 + W16 + W15 + W14 + W13 + W12 + W11 = 1; \par \cf3 ! Prob\{out of state 1\}- Prob\{ into state 1\} = 0;\cf2 \par - .4 * W82 - .5 * W81 - .4 * W72 - .5 * W71 - .4 * W62 - .5 * W61 - .4 * W52 - .5 * W51 - .4 * W42 - .5 * W41 - .4 * W32 - .5 * W31 - .4 * W22 - .5 * W21 + W18 + W17 + W16 + W15 + W14 + W13 + .6 * W12 + .5 * W11 = 0; \par \cf3 ! Into state 2;\cf2 \par - .4 * W83 - .1 * W82 - .5 * W81 - .4 * W73 - .1 * W72 - .5 * W71 - .4 * W63 - .1 * W62 - .5 * W61 - .4 * W53 - .1 * W52 - .5 * W51 - .4 * W43 - .1 * W42 - .5 * W41 - .4 * W33 - .1 * W32 - .5 * W31 + W28 + W27 + W26 + W25 + W24 + .6 * W23 + .9 * W22 + .5 * W21 - .4 * W13 - .1 * W12 - .5 * W11 = 0; \par \cf3 ! Into state 3;\cf2 \par - .4 * W84 - .1 * W83 - .5 * W82 - .4 * W74 - .1 * W73 - .5 * W72 - .4 * W64 - .1 * W63 - .5 * W62 - .4 * W54 - .1 * W53 - .5 * W52 - .4 * W44 - .1 * W43 - .5 * W42 + W38 + W37 + W36 + W35 + .6 * W34 + .9 * W33 + .5 * W32 + W31 - .4 * W24 - .1 * W23 - .5 * W22 - .4 * W14 - .1 * W13 - .5 * W12 = 0; \par \cf3 ! Into state 4;\cf2 \par - .4 * W85 - .1 * W84 - .5 * W83 - .4 * W75 - .1 * W74 - .5 * W73 - .4 * W65 - .1 * W64 - .5 * W63 - .4 * W55 - .1 * W54 - .5 * W53 + W48 + W47 + W46 + .6 * W45 + .9 * W44 + .5 * W43 + W42 + W41 - .4 * W35 - .1 * W34 - .5 * W33 - .4 * W25 - .1 * W24 - .5 * W23 - .4 * W15 - .1 * W14 - .5 * W13 = 0; \par \cf3 ! Into state 5;\cf2 \par - .4 * W86 - .1 * W85 - .5 * W84 - .4 * W76 - .1 * W75 - .5 * W74 - .4 * W66 - .1 * W65 - .5 * W64 + W58 + W57 + .6 * W56 + .9 * W55 + .5 * W54 + W53 + W52 + W51 - .4 * W46 - .1 * W45 - .5 * W44 - .4 * W36 - .1 * W35 - .5 * W34 - .4 * W26 - .1 * W25 - .5 * W24 - .4 * W16 - .1 * W15 - .5 * W14 =0; \par \cf3 ! Into state 6;\cf2 \par - .4 * W87 - .1 * W86 - .5 * W85 - .4 * W77 - .1 * W76 \par - .5 * W75 + W68 + .6 * W67 + .9 * W66 + .5 * W65 + W64 + W63 + W62 + W61 - .4 * W57 - .1 * W56 - .5 * W55 - .4 * W47 - .1 * W46 - .5 * W45 - .4 * W37 - .1 * W36 - .5 * W35 - .4 * W27 - .1 * W26 - .5 * W25 - .4 * W17 - .1 * W16 - .5 * W15 = 0; \par \cf3 ! Into state 7;\cf2 \par - .4 * W88 - .1 * W87 - .5 * W86 + .6 * W78 + .9 * W77 + .5 * W76 + W75 + W74 + W73 + W72 + W71 - .4 * W68 - .1 * W67 - .5 * W66 - .4 * W58 - .1 * W57 - .5 * W56 - .4 * W48 - .1 * W47 - .5 * W46 - .4 * W38 - .1 * W37 - .5 * W36 - .4 * W28 - .1 * W27 - .5 * W26 - .4 * W18 - .1 * W17 - .5 * W16 = 0;\cf3 ! \par ! Into state 8;\cf2 \par .4 * W88 + .5 * W87 + W86 + W85 + W84 + W83 + W82 + W81 - .6 * W78 - .5 * W77 - .6 * W68 - .5 * W67 - .6 * W58 - .5 * W57 - .6 * W48 - .5 * W47 - .6 * W38 - .5 * W37 - .6 * W28 - .5 * W27 - .6 * W18 - .5 * W17 = 0; \par \cf1 END\cf2 \par \par }