#  NLP written by GAMS Convert at 01/12/18 13:31:52
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#         10        2        0        8        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#          7        7        0        0        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#         54       14       40        0
# 
#  Reformulation has removed 1 variable and 1 equation


var x1 := 0.322, >= 1E-6, <= 1;
var x2 := 0.322, >= 1E-6, <= 1;
var x3 := 0.222, >= 1E-6, <= 1;
var x4 := 0.133, >= 1E-6, <= 1;
var x5 := 63.558, >= 40, <= 90;
var x7 >= 0;

minimize obj:    x7;

subject to

e2: 8.85*log(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) - 9.85*log(1.97*x1 + 3.01*x2
     + 2.4*x3 + 3.86*x4) - (3.8613*x2 - 0.865100000000001*x1 + 3.7136*x3 - 
    0.632999999999999*x4)/(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) - 0.92*log(
    0.92*x1 + 0.074630773041249*x2 + 0.120222883700913*x3 + 0.161199992780481*
    x4) + 0.92*log(0.92*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) - 0.92*(0.92*x1/(0.92*
    x1 + 0.074630773041249*x2 + 0.120222883700913*x3 + 0.161199992780481*x4) + 
    5.42978509857797*x2/(1.65960208993081*x1 + 3.01*x2 + 2.91963915785291*x3 + 
    1.70144966342223*x4) + 3.53361528312402*x3/(1.35455252519754*x1 + 
    1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4) + 5.92791255201582*x4/(
    1.41287034918512*x1 + 5.85662897318878*x2 + 2.5957281029371*x3 + 3.86*x4))
     - 3803.98/(231.47 + x5) - x7 <= -12.8590236275375;

e3: 14.05*log(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) - 15.05*log(1.97*x1 + 3.01*
    x2 + 2.4*x3 + 3.86*x4) - (7.26510000000001*x2 - 1.6277*x1 + 6.9872*x3 - 
    1.191*x4)/(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) - 3.01*log(
    1.65960208993081*x1 + 3.01*x2 + 2.91963915785291*x3 + 1.70144966342223*x4)
     + 3.01*log(0.92*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) - 3.01*(
    0.0228107346172588*x1/(0.92*x1 + 0.074630773041249*x2 + 0.120222883700913*
    x3 + 0.161199992780481*x4) + 3.01*x2/(1.65960208993081*x1 + 3.01*x2 + 
    2.91963915785291*x3 + 1.70144966342223*x4) + 1.48314676153655*x3/(
    1.35455252519754*x1 + 1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4)
     + 7.51049429784342*x4/(1.41287034918512*x1 + 5.85662897318878*x2 + 
    2.5957281029371*x3 + 3.86*x4)) - 2735.58621973158/(226.276 + x5) - x7
     <= -11.2296864040814;

e4: 11*log(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) - 12*log(1.97*x1 + 3.01*x2 + 
    2.4*x3 + 3.86*x4) - (5.83770000000001*x2 - 1.3079*x1 + 5.6144*x3 - 
    0.956999999999998*x4)/(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) - 2.4*log(
    1.35455252519754*x1 + 1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4)
     + 2.4*log(0.92*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) - 2.4*(0.0460854387520165*
    x1/(0.92*x1 + 0.074630773041249*x2 + 0.120222883700913*x3 + 
    0.161199992780481*x4) + 3.66171411047386*x2/(1.65960208993081*x1 + 3.01*x2
     + 2.91963915785291*x3 + 1.70144966342223*x4) + 2.4*x3/(1.35455252519754*x1
     + 1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4) + 4.17479603222384*
    x4/(1.41287034918512*x1 + 5.85662897318878*x2 + 2.5957281029371*x3 + 3.86*
    x4)) - 2788.51/(220.79 + x5) - x7 <= -11.1728763302021;

e5: 18.3*log(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) - 19.3*log(1.97*x1 + 3.01*x2
     + 2.4*x3 + 3.86*x4) - (8.23500000000001*x2 - 1.845*x1 + 7.92*x3 - 1.35*x4)
    /(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) - 3.86*log(1.41287034918512*x1 + 
    5.85662897318878*x2 + 2.5957281029371*x3 + 3.86*x4) + 3.86*log(0.92*x1 + 
    3.01*x2 + 2.4*x3 + 3.86*x4) - 3.86*(0.0384207236678868*x1/(0.92*x1 + 
    0.074630773041249*x2 + 0.120222883700913*x3 + 0.161199992780481*x4) + 
    1.32677810541474*x2/(1.65960208993081*x1 + 3.01*x2 + 2.91963915785291*x3 + 
    1.70144966342223*x4) + 1.64761511983392*x3/(1.35455252519754*x1 + 
    1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4) + 3.86*x4/(
    1.41287034918512*x1 + 5.85662897318878*x2 + 2.5957281029371*x3 + 3.86*x4))
     - 2739.24733002944/(226.28 + x5) - x7 <= -11.3821403387577;

e6: 9.85*log(1.97*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) - 8.85*log(2.11*x1 + 3.97*x2
     + 3.19*x3 + 4.5*x4) + (3.8613*x2 - 0.865100000000001*x1 + 3.7136*x3 - 
    0.632999999999999*x4)/(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) + 0.92*log(
    0.92*x1 + 0.074630773041249*x2 + 0.120222883700913*x3 + 0.161199992780481*
    x4) - 0.92*log(0.92*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) + 0.92*(0.92*x1/(0.92*
    x1 + 0.074630773041249*x2 + 0.120222883700913*x3 + 0.161199992780481*x4) + 
    5.42978509857797*x2/(1.65960208993081*x1 + 3.01*x2 + 2.91963915785291*x3 + 
    1.70144966342223*x4) + 3.53361528312402*x3/(1.35455252519754*x1 + 
    1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4) + 5.92791255201582*x4/(
    1.41287034918512*x1 + 5.85662897318878*x2 + 2.5957281029371*x3 + 3.86*x4))
     + 3803.98/(231.47 + x5) - x7 <= 12.8590236275375;

e7: 15.05*log(1.97*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) - 14.05*log(2.11*x1 + 3.97*
    x2 + 3.19*x3 + 4.5*x4) + (7.26510000000001*x2 - 1.6277*x1 + 6.9872*x3 - 
    1.191*x4)/(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) + 3.01*log(
    1.65960208993081*x1 + 3.01*x2 + 2.91963915785291*x3 + 1.70144966342223*x4)
     - 3.01*log(0.92*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) + 3.01*(
    0.0228107346172588*x1/(0.92*x1 + 0.074630773041249*x2 + 0.120222883700913*
    x3 + 0.161199992780481*x4) + 3.01*x2/(1.65960208993081*x1 + 3.01*x2 + 
    2.91963915785291*x3 + 1.70144966342223*x4) + 1.48314676153655*x3/(
    1.35455252519754*x1 + 1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4)
     + 7.51049429784342*x4/(1.41287034918512*x1 + 5.85662897318878*x2 + 
    2.5957281029371*x3 + 3.86*x4)) + 2735.58621973158/(226.276 + x5) - x7
     <= 11.2296864040814;

e8: 12*log(1.97*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) - 11*log(2.11*x1 + 3.97*x2 + 
    3.19*x3 + 4.5*x4) + (5.83770000000001*x2 - 1.3079*x1 + 5.6144*x3 - 
    0.956999999999998*x4)/(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) + 2.4*log(
    1.35455252519754*x1 + 1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4)
     - 2.4*log(0.92*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) + 2.4*(0.0460854387520165*
    x1/(0.92*x1 + 0.074630773041249*x2 + 0.120222883700913*x3 + 
    0.161199992780481*x4) + 3.66171411047386*x2/(1.65960208993081*x1 + 3.01*x2
     + 2.91963915785291*x3 + 1.70144966342223*x4) + 2.4*x3/(1.35455252519754*x1
     + 1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4) + 4.17479603222384*
    x4/(1.41287034918512*x1 + 5.85662897318878*x2 + 2.5957281029371*x3 + 3.86*
    x4)) + 2788.51/(220.79 + x5) - x7 <= 11.1728763302021;

e9: 19.3*log(1.97*x1 + 3.01*x2 + 2.4*x3 + 3.86*x4) - 18.3*log(2.11*x1 + 3.97*x2
     + 3.19*x3 + 4.5*x4) + (8.23500000000001*x2 - 1.845*x1 + 7.92*x3 - 1.35*x4)
    /(2.11*x1 + 3.97*x2 + 3.19*x3 + 4.5*x4) + 3.86*log(1.41287034918512*x1 + 
    5.85662897318878*x2 + 2.5957281029371*x3 + 3.86*x4) - 3.86*log(0.92*x1 + 
    3.01*x2 + 2.4*x3 + 3.86*x4) + 3.86*(0.0384207236678868*x1/(0.92*x1 + 
    0.074630773041249*x2 + 0.120222883700913*x3 + 0.161199992780481*x4) + 
    1.32677810541474*x2/(1.65960208993081*x1 + 3.01*x2 + 2.91963915785291*x3 + 
    1.70144966342223*x4) + 1.64761511983392*x3/(1.35455252519754*x1 + 
    1.86011323009376*x2 + 2.4*x3 + 2.64991431773289*x4) + 3.86*x4/(
    1.41287034918512*x1 + 5.85662897318878*x2 + 2.5957281029371*x3 + 3.86*x4))
     + 2739.24733002944/(226.28 + x5) - x7 <= 11.3821403387577;

e10:    x1 + x2 + x3 + x4 = 1;