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Economic Models - Convex Optimization

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Table 5. (Continued )<br />

Health Service Management 163<br />

No. Variable name Value No. Variable name Value<br />

The simplex solution (Number of patients = 3625)<br />

103 ×17 39,476.000 105 ×17 39,476.000<br />

104 ×18 49,647.000 106 ×18 49,647.000<br />

105 ×19 50,643.000 107 ×19 50,643.000<br />

106 ×20 119,851.000 108 ×20 119,851.000<br />

107 ×21 1,026,720.000 21 d − 21<br />

118,180.125<br />

108 ×22 33,300.000 110 ×22 33,800.000<br />

109 ×23 2340.000 111 ×23 2340.000<br />

110 ×24 10,140.000 112 ×24 10,140.000<br />

111 ×25 29,120.000 113 ×25 29,120.000<br />

112 ×26 6240.000 114 ×26 6240.000<br />

113 ×27 2340.000 115 ×27 2340.000<br />

114 ×28 6240.000 116 ×28 6240.000<br />

115 ×29 8320.000 117 ×29 8320.000<br />

116 ×30 6240.000 118 ×30 6240.000<br />

117 ×31 15,600.000 119 ×31 15,600.000<br />

118 ×32 9.100 120 ×32 9.100<br />

119 ×33 5.700 121 ×33 5.700<br />

120 ×34 59.400 122 ×34 59.400<br />

121 ×35 32.100 123 ×35 32.100<br />

122 ×36 106.300 124 ×36 106.300<br />

123 ×37 600.000 125 ×37 600.000<br />

124 ×38 400.000 126 ×38 400.000<br />

125 ×39 195,076.797 127 ×39 172,622.578<br />

126 ×40 320,000.000 128 ×40 320,000.000<br />

127 ×41 516,076.812 129 ×41 493,622.562<br />

128 ×42 1,928,134.375 130 ×42 1,787,500.000<br />

129 ×43 738.796 131 ×43 700.000<br />

109 ×21 908,539.875<br />

whether this is an optimal solution, from the socio-economic point of view,<br />

since any reduction has to directly affect the employees salary solely. On<br />

the other hand, the decision maker is not willing to entirely undertake this<br />

reduction (118,180.125), decreasing gross profits by almost 16%. With all<br />

these in mind, I present the following proposition, which may be considered<br />

of particular importance.

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