#  NLP written by GAMS Convert at 01/12/18 13:34:56
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          4        2        2        0        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#         10       10        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         17        8        9        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 := 0.333333333333333, >= 0.1;
var x2 := 0.333333333333333, >= 0.1;
var x3 := 0.333333333333333, >= 0.1;
var x4 := 130, >= 0;
var x5 := 160, >= 0;
var x6 := 190, >= 0;
var x7 := 15, >= 0;
var x8 := 15, >= 0;
var x9 := 15, >= 0;

minimize obj: -(log(0.398942448887604*(x1/x7*exp(-0.5*((95 - x4)/x7)^2) + x2/x8
    *exp(-0.5*((95 - x5)/x8)^2) + x3/x9*exp(-0.5*((95 - x6)/x9)^2))) + log(
    0.398942448887604*(x1/x7*exp(-0.5*((105 - x4)/x7)^2) + x2/x8*exp(-0.5*((105
     - x5)/x8)^2) + x3/x9*exp(-0.5*((105 - x6)/x9)^2))) + 4*log(
    0.398942448887604*(x1/x7*exp(-0.5*((110 - x4)/x7)^2) + x2/x8*exp(-0.5*((110
     - x5)/x8)^2) + x3/x9*exp(-0.5*((110 - x6)/x9)^2))) + 4*log(
    0.398942448887604*(x1/x7*exp(-0.5*((115 - x4)/x7)^2) + x2/x8*exp(-0.5*((115
     - x5)/x8)^2) + x3/x9*exp(-0.5*((115 - x6)/x9)^2))) + 15*log(
    0.398942448887604*(x1/x7*exp(-0.5*((120 - x4)/x7)^2) + x2/x8*exp(-0.5*((120
     - x5)/x8)^2) + x3/x9*exp(-0.5*((120 - x6)/x9)^2))) + 15*log(
    0.398942448887604*(x1/x7*exp(-0.5*((125 - x4)/x7)^2) + x2/x8*exp(-0.5*((125
     - x5)/x8)^2) + x3/x9*exp(-0.5*((125 - x6)/x9)^2))) + 15*log(
    0.398942448887604*(x1/x7*exp(-0.5*((130 - x4)/x7)^2) + x2/x8*exp(-0.5*((130
     - x5)/x8)^2) + x3/x9*exp(-0.5*((130 - x6)/x9)^2))) + 13*log(
    0.398942448887604*(x1/x7*exp(-0.5*((135 - x4)/x7)^2) + x2/x8*exp(-0.5*((135
     - x5)/x8)^2) + x3/x9*exp(-0.5*((135 - x6)/x9)^2))) + 21*log(
    0.398942448887604*(x1/x7*exp(-0.5*((140 - x4)/x7)^2) + x2/x8*exp(-0.5*((140
     - x5)/x8)^2) + x3/x9*exp(-0.5*((140 - x6)/x9)^2))) + 12*log(
    0.398942448887604*(x1/x7*exp(-0.5*((145 - x4)/x7)^2) + x2/x8*exp(-0.5*((145
     - x5)/x8)^2) + x3/x9*exp(-0.5*((145 - x6)/x9)^2))) + 17*log(
    0.398942448887604*(x1/x7*exp(-0.5*((150 - x4)/x7)^2) + x2/x8*exp(-0.5*((150
     - x5)/x8)^2) + x3/x9*exp(-0.5*((150 - x6)/x9)^2))) + 4*log(
    0.398942448887604*(x1/x7*exp(-0.5*((155 - x4)/x7)^2) + x2/x8*exp(-0.5*((155
     - x5)/x8)^2) + x3/x9*exp(-0.5*((155 - x6)/x9)^2))) + 20*log(
    0.398942448887604*(x1/x7*exp(-0.5*((160 - x4)/x7)^2) + x2/x8*exp(-0.5*((160
     - x5)/x8)^2) + x3/x9*exp(-0.5*((160 - x6)/x9)^2))) + 8*log(
    0.398942448887604*(x1/x7*exp(-0.5*((165 - x4)/x7)^2) + x2/x8*exp(-0.5*((165
     - x5)/x8)^2) + x3/x9*exp(-0.5*((165 - x6)/x9)^2))) + 17*log(
    0.398942448887604*(x1/x7*exp(-0.5*((170 - x4)/x7)^2) + x2/x8*exp(-0.5*((170
     - x5)/x8)^2) + x3/x9*exp(-0.5*((170 - x6)/x9)^2))) + 8*log(
    0.398942448887604*(x1/x7*exp(-0.5*((175 - x4)/x7)^2) + x2/x8*exp(-0.5*((175
     - x5)/x8)^2) + x3/x9*exp(-0.5*((175 - x6)/x9)^2))) + 6*log(
    0.398942448887604*(x1/x7*exp(-0.5*((180 - x4)/x7)^2) + x2/x8*exp(-0.5*((180
     - x5)/x8)^2) + x3/x9*exp(-0.5*((180 - x6)/x9)^2))) + 6*log(
    0.398942448887604*(x1/x7*exp(-0.5*((185 - x4)/x7)^2) + x2/x8*exp(-0.5*((185
     - x5)/x8)^2) + x3/x9*exp(-0.5*((185 - x6)/x9)^2))) + 7*log(
    0.398942448887604*(x1/x7*exp(-0.5*((190 - x4)/x7)^2) + x2/x8*exp(-0.5*((190
     - x5)/x8)^2) + x3/x9*exp(-0.5*((190 - x6)/x9)^2))) + 4*log(
    0.398942448887604*(x1/x7*exp(-0.5*((195 - x4)/x7)^2) + x2/x8*exp(-0.5*((195
     - x5)/x8)^2) + x3/x9*exp(-0.5*((195 - x6)/x9)^2))) + 3*log(
    0.398942448887604*(x1/x7*exp(-0.5*((200 - x4)/x7)^2) + x2/x8*exp(-0.5*((200
     - x5)/x8)^2) + x3/x9*exp(-0.5*((200 - x6)/x9)^2))) + 3*log(
    0.398942448887604*(x1/x7*exp(-0.5*((205 - x4)/x7)^2) + x2/x8*exp(-0.5*((205
     - x5)/x8)^2) + x3/x9*exp(-0.5*((205 - x6)/x9)^2))) + 8*log(
    0.398942448887604*(x1/x7*exp(-0.5*((210 - x4)/x7)^2) + x2/x8*exp(-0.5*((210
     - x5)/x8)^2) + x3/x9*exp(-0.5*((210 - x6)/x9)^2))) + log(0.398942448887604
    *(x1/x7*exp(-0.5*((215 - x4)/x7)^2) + x2/x8*exp(-0.5*((215 - x5)/x8)^2) + 
    x3/x9*exp(-0.5*((215 - x6)/x9)^2))) + 6*log(0.398942448887604*(x1/x7*exp(-
    0.5*((220 - x4)/x7)^2) + x2/x8*exp(-0.5*((220 - x5)/x8)^2) + x3/x9*exp(-0.5
    *((220 - x6)/x9)^2))) + 5*log(0.398942448887604*(x1/x7*exp(-0.5*((230 - x4)
    /x7)^2) + x2/x8*exp(-0.5*((230 - x5)/x8)^2) + x3/x9*exp(-0.5*((230 - x6)/x9
    )^2))) + log(0.398942448887604*(x1/x7*exp(-0.5*((235 - x4)/x7)^2) + x2/x8*
    exp(-0.5*((235 - x5)/x8)^2) + x3/x9*exp(-0.5*((235 - x6)/x9)^2))) + 7*log(
    0.398942448887604*(x1/x7*exp(-0.5*((240 - x4)/x7)^2) + x2/x8*exp(-0.5*((240
     - x5)/x8)^2) + x3/x9*exp(-0.5*((240 - x6)/x9)^2))) + log(0.398942448887604
    *(x1/x7*exp(-0.5*((245 - x4)/x7)^2) + x2/x8*exp(-0.5*((245 - x5)/x8)^2) + 
    x3/x9*exp(-0.5*((245 - x6)/x9)^2))) + 2*log(0.398942448887604*(x1/x7*exp(-
    0.5*((260 - x4)/x7)^2) + x2/x8*exp(-0.5*((260 - x5)/x8)^2) + x3/x9*exp(-0.5
    *((260 - x6)/x9)^2))));

subject to

e2:    x1 + x2 + x3 = 1;

e3:  - x4 + x5 >= 0;

e4:  - x5 + x6 >= 0;