# NLP written by GAMS Convert at 03/25/24 11:25:34
#
# Equation counts
#     Total        E        G        L        N        X        C        B
#         5        0        0        5        0        0        0        0
#
# Variable counts
#                  x        b        i      s1s      s2s       sc       si
#     Total     cont   binary  integer     sos1     sos2    scont     sint
#        50       50        0        0        0        0        0        0
# FX      0
#
# Nonzero counts
#     Total    const       NL
#       249        0      249
#
# Reformulation has removed 1 variable and 1 equation

var x1 >= 0, <= 10;
var x2 >= 0, <= 10;
var x3 >= 0, <= 10;
var x4 >= 0, <= 10;
var x5 >= 0, <= 10;
var x6 >= 0, <= 10;
var x7 >= 0, <= 10;
var x8 >= 0, <= 10;
var x9 >= 0, <= 10;
var x10 >= 0, <= 10;
var x11 >= 0, <= 10;
var x12 >= 0, <= 10;
var x13 >= 0, <= 10;
var x14 >= 0, <= 10;
var x15 >= 0, <= 10;
var x16 >= 0, <= 10;
var x17 >= 0, <= 10;
var x18 >= 0, <= 10;
var x19 >= 0, <= 10;
var x20 >= 0, <= 10;
var x21 >= 0, <= 10;
var x22 >= 0, <= 10;
var x23 >= 0, <= 10;
var x24 >= 0, <= 10;
var x25 >= 0, <= 10;
var x26 >= 0, <= 10;
var x27 >= 0, <= 10;
var x28 >= 0, <= 10;
var x29 >= 0, <= 10;
var x30 >= 0, <= 10;
var x31 >= 0, <= 10;
var x32 >= 0, <= 10;
var x33 >= 0, <= 10;
var x34 >= 0, <= 10;
var x35 >= 0, <= 10;
var x36 >= 0, <= 10;
var x37 >= 0, <= 10;
var x38 >= 0, <= 10;
var x39 >= 0, <= 10;
var x40 >= 0, <= 10;
var x41 >= 0, <= 10;
var x42 >= 0, <= 10;
var x43 >= 0, <= 10;
var x44 >= 0, <= 10;
var x45 >= 0, <= 10;
var x46 >= 0, <= 10;
var x47 >= 0, <= 10;
var x48 >= 0, <= 10;
var x49 >= 0, <= 10;
var x50 >= 0, <= 10;

maximize obj: -x1 - 20 * x2 - 7 * x3 - 13 * x5 - 2 * x6 - 15 * x7 - 10 * x8 -
    15 * x10 - 20 * x11 - 13 * x12 - 18 * x13 - 11 * x14 - 10 * x15 - 6 * x16
    - 16 * x17 - 20 * x18 - 12 * x19 - 6 * x20 - 16 * x21 - 4 * x22 - 15 * x23
    - 17 * x24 - 17 * x25 - 13 * x27 - 7 * x28 - 6 * x29 - 16 * x30 - 16 * x31
    - 14 * x32 - 13 * x33 - 15 * x34 - 10 * x35 - 20 * x36 - 10 * x37 - 5 *
    x38 - 18 * x39 - 15 * x40 - x41 - 10 * x43 - 7 * x44 - 12 * x45 - 5 * x46
    - 11 * x47 - 18 * x48 - 13 * x49 - 15 * x50;

subject to

e1:  -2.9 * x1 * exp(-0.0010000000000000002 * x1^3) - 2.1 * x2 * exp(-
     0.0010000000000000002 * x2^3) - 1.7 * x3 * exp(-0.010000000000000002 * x3^
     2) - 9.2 * x4 * exp(-0.0010000000000000002 * x4^3) - 5.7 * x5 * exp(-
     0.010000000000000002 * x5^2) - 0.9 * x6 * exp(-0.0010000000000000002 * x6^
     3) - 7.5 * x7 * exp(-0.010000000000000002 * x7^2) - 3.6 * x8 * exp(-0.1 *
     x8) - 2.1 * x9 * exp(-0.1 * x9) - 4.9 * x10 * exp(-0.0010000000000000002
     * x10^3) - 0.9 * x11 * exp(-0.010000000000000002 * x11^2) - 5.6 * x12 *
     exp(-0.1 * x12) - 9.3 * x13 * exp(-0.0010000000000000002 * x13^3) - 3.5 *
     x14 * exp(-0.010000000000000002 * x14^2) - 3.1 * x15 * exp(-0.1 * x15) -
     6.1 * x16 * exp(-0.1 * x16) - 3.9 * x17 * exp(-0.1 * x17) - 6.6 * x18 *
     exp(-0.010000000000000002 * x18^2) - 8.4 * x19 * exp(-
     0.0010000000000000002 * x19^3) - 2.5 * x20 * exp(-0.0010000000000000002 *
     x20^3) - 5.4 * x21 * exp(-0.1 * x21) - 5.2 * x22 * exp(-
     0.0010000000000000002 * x22^3) - 1.9 * x23 * exp(-0.0010000000000000002 *
     x23^3) - 5.5 * x24 * exp(-0.010000000000000002 * x24^2) - 5.5 * x25 * exp(
     -0.1 * x25) - 4.9 * x26 * exp(-0.0010000000000000002 * x26^3) - 0.5 * x27
     * exp(-0.1 * x27) - 6.7 * x28 * exp(-0.1 * x28) - 4.5 * x29 * exp(-0.1 *
     x29) - 0.4 * x30 * exp(-0.010000000000000002 * x30^2) - 7.1 * x31 * exp(
     -0.1 * x31) - 1.5 * x32 * exp(-0.010000000000000002 * x32^2) - 2.4 * x33
     * exp(-0.010000000000000002 * x33^2) - 3.3 * x34 * exp(-
     0.010000000000000002 * x34^2) - 3.2 * x35 * exp(-0.0010000000000000002 *
     x35^3) - 9.2 * x36 * exp(-0.010000000000000002 * x36^2) - 3 * x37 * exp(-
     0.0010000000000000002 * x37^3) - 6.9 * x38 * exp(-0.1 * x38) - 0.4 * x39
     * exp(-0.1 * x39) - 2.3 * x40 * exp(-0.0010000000000000002 * x40^3) - 3.1
     * x41 * exp(-0.0010000000000000002 * x41^3) - 3.6 * x42 * exp(-
     0.0010000000000000002 * x42^3) - 7.4 * x43 * exp(-0.010000000000000002 *
     x43^2) - 8.9 * x44 * exp(-0.010000000000000002 * x44^2) - 5.8 * x45 * exp(
     -0.0010000000000000002 * x45^3) - 0.3 * x46 * exp(-0.1 * x46) - 9 * x47 *
     exp(-0.0010000000000000002 * x47^3) - 1.4 * x48 * exp(-0.1 * x48) - 2.7 *
     x49 * exp(-0.0010000000000000002 * x49^3) - 4.8 * x50 * exp(-0.1 * x50)
     <= -500;
e2:  -2.1 * x1 * exp(-0.0010000000000000002 * x1^3) - 8.3 * x2 * exp(-
     0.0010000000000000002 * x2^3) - 9 * x3 * exp(-0.1 * x3) - 5.6 * x4 * exp(
     -0.1 * x4) - 3 * x5 * exp(-0.010000000000000002 * x5^2) - 6.4 * x6 * exp(
     -0.1 * x6) - 7.7 * x7 * exp(-0.0010000000000000002 * x7^3) - 4.4 * x8 *
     exp(-0.1 * x8) - 1.3 * x9 * exp(-0.1 * x9) - 5.8 * x10 * exp(-
     0.010000000000000002 * x10^2) - 8.6 * x11 * exp(-0.010000000000000002 *
     x11^2) - 1.1 * x12 * exp(-0.010000000000000002 * x12^2) - 3.1 * x13 * exp(
     -0.0010000000000000002 * x13^3) - 7.4 * x14 * exp(-0.010000000000000002 *
     x14^2) - 4.2 * x15 * exp(-0.1 * x15) - 5.6 * x16 * exp(-
     0.010000000000000002 * x16^2) - 2.6 * x17 * exp(-0.1 * x17) - 6.5 * x18 *
     exp(-0.1 * x18) - 4.6 * x19 * exp(-0.0010000000000000002 * x19^3) - 4.3 *
     x20 * exp(-0.010000000000000002 * x20^2) - 7.8 * x21 * exp(-
     0.010000000000000002 * x21^2) - 3.4 * x22 * exp(-0.010000000000000002 *
     x22^2) - 1.6 * x23 * exp(-0.010000000000000002 * x23^2) - 1.2 * x24 * exp(
     -0.0010000000000000002 * x24^3) - 8.7 * x25 * exp(-0.1 * x25) - 0.8 * x26
     * exp(-0.1 * x26) - 5 * x27 * exp(-0.010000000000000002 * x27^2) - 3.7 *
     x28 * exp(-0.0010000000000000002 * x28^3) - 3.1 * x29 * exp(-
     0.010000000000000002 * x29^2) - 0.7 * x30 * exp(-0.0010000000000000002 *
     x30^3) - 4.6 * x31 * exp(-0.0010000000000000002 * x31^3) - 3 * x32 * exp(-
     0.010000000000000002 * x32^2) - 9.1 * x33 * exp(-0.0010000000000000002 *
     x33^3) - 0.3 * x34 * exp(-0.010000000000000002 * x34^2) - 4.3 * x35 * exp(
     -0.1 * x35) - 2.1 * x36 * exp(-0.1 * x36) - 2.4 * x37 * exp(-
     0.010000000000000002 * x37^2) - 6 * x38 * exp(-0.010000000000000002 * x38^
     2) - 8.1 * x39 * exp(-0.010000000000000002 * x39^2) - 9.5 * x40 * exp(-0.1
     * x40) - 6.9 * x41 * exp(-0.0010000000000000002 * x41^3) - 9.4 * x42 *
     exp(-0.010000000000000002 * x42^2) - 4.3 * x43 * exp(-
     0.0010000000000000002 * x43^3) - 8.8 * x44 * exp(-0.010000000000000002 *
     x44^2) - 6.7 * x45 * exp(-0.1 * x45) - 9.6 * x46 * exp(-
     0.010000000000000002 * x46^2) - 6.6 * x47 * exp(-0.0010000000000000002 *
     x47^3) - 2.6 * x48 * exp(-0.1 * x48) - 2.1 * x49 * exp(-
     0.0010000000000000002 * x49^3) - 6.1 * x50 * exp(-0.1 * x50) <= -651;
e3:  -9.3 * x1 * exp(-0.1 * x1) - 0.8 * x2 * exp(-0.1 * x2) - 6.7 * x3 * exp(
     -0.1 * x3) - 2.8 * x4 * exp(-0.1 * x4) - 8.7 * x5 * exp(-
     0.010000000000000002 * x5^2) - 7.8 * x6 * exp(-0.010000000000000002 * x6^2)
     - 2.2 * x7 * exp(-0.0010000000000000002 * x7^3) - 5.6 * x8 * exp(-0.1 *
     x8) - 6.6 * x9 * exp(-0.010000000000000002 * x9^2) - 4.8 * x10 * exp(-0.1
     * x10) - x11 * exp(-0.1 * x11) - 1.9 * x12 * exp(-0.0010000000000000002 *
     x12^3) - 8.3 * x13 * exp(-0.1 * x13) - 6 * x14 * exp(-
     0.0010000000000000002 * x14^3) - 3.7 * x15 * exp(-0.010000000000000002 *
     x15^2) - 6.4 * x16 * exp(-0.010000000000000002 * x16^2) - 4.8 * x17 * exp(
     -0.010000000000000002 * x17^2) - 9.2 * x18 * exp(-0.1 * x18) - 8.8 * x19
     * exp(-0.0010000000000000002 * x19^3) - 7.3 * x20 * exp(-
     0.010000000000000002 * x20^2) - 9.8 * x21 * exp(-0.0010000000000000002 *
     x21^3) - 6.3 * x22 * exp(-0.0010000000000000002 * x22^3) - 1.9 * x23 * exp
     (-0.1 * x23) - 1.3 * x24 * exp(-0.0010000000000000002 * x24^3) - 1.8 * x25
     * exp(-0.010000000000000002 * x25^2) - 5.5 * x26 * exp(-0.1 * x26) - 5.2
     * x27 * exp(-0.010000000000000002 * x27^2) - 5.1 * x28 * exp(-
     0.0010000000000000002 * x28^3) - 1.6 * x29 * exp(-0.010000000000000002 *
     x29^2) - 0.6 * x30 * exp(-0.0010000000000000002 * x30^3) - 9 * x31 * exp(-
     0.0010000000000000002 * x31^3) - 4.3 * x32 * exp(-0.010000000000000002 *
     x32^2) - 5.3 * x33 * exp(-0.1 * x33) - 1.8 * x34 * exp(-
     0.010000000000000002 * x34^2) - 0.4 * x35 * exp(-0.1 * x35) - 7.8 * x36 *
     exp(-0.010000000000000002 * x36^2) - 4.2 * x37 * exp(-
     0.0010000000000000002 * x37^3) - 1.1 * x38 * exp(-0.0010000000000000002 *
     x38^3) - 8.3 * x39 * exp(-0.0010000000000000002 * x39^3) - 5.9 * x40 * exp
     (-0.0010000000000000002 * x40^3) - 4.7 * x41 * exp(-0.0010000000000000002
     * x41^3) - 9 * x42 * exp(-0.1 * x42) - 6.5 * x43 * exp(-0.1 * x43) - 3.6
     * x44 * exp(-0.010000000000000002 * x44^2) - 3.6 * x45 * exp(-0.1 * x45)
     - 5.8 * x46 * exp(-0.010000000000000002 * x46^2) - 0.2 * x47 * exp(-
     0.0010000000000000002 * x47^3) - 6.3 * x48 * exp(-0.010000000000000002 *
     x48^2) - 6 * x49 * exp(-0.1 * x49) - 8.3 * x50 * exp(-0.1 * x50) <= -615;
e4:  -4.8 * x1 * exp(-0.0010000000000000002 * x1^3) - 0.9 * x2 * exp(-0.1 * x2)
     - 9.1 * x3 * exp(-0.010000000000000002 * x3^2) - 4.6 * x4 * exp(-
     0.010000000000000002 * x4^2) - 6.7 * x5 * exp(-0.0010000000000000002 * x5^
     3) - 1.1 * x6 * exp(-0.1 * x6) - 7.6 * x7 * exp(-0.0010000000000000002 *
     x7^3) - 4.7 * x8 * exp(-0.010000000000000002 * x8^2) - 8.6 * x9 * exp(-
     0.010000000000000002 * x9^2) - 4.6 * x10 * exp(-0.0010000000000000002 *
     x10^3) - 8.5 * x11 * exp(-0.0010000000000000002 * x11^3) - 0.3 * x12 * exp
     (-0.0010000000000000002 * x12^3) - 3.8 * x13 * exp(-0.1 * x13) - 1.9 * x14
     * exp(-0.1 * x14) - 3.6 * x15 * exp(-0.1 * x15) - 5 * x16 * exp(-
     0.010000000000000002 * x16^2) - 6.9 * x17 * exp(-0.010000000000000002 *
     x17^2) - 5.7 * x18 * exp(-0.010000000000000002 * x18^2) - 0.2 * x19 * exp(
     -0.0010000000000000002 * x19^3) - 2.5 * x20 * exp(-0.0010000000000000002
     * x20^3) - 1.2 * x22 * exp(-0.010000000000000002 * x22^2) - 3.9 * x23 *
     exp(-0.010000000000000002 * x23^2) - 5.5 * x24 * exp(-0.010000000000000002
     * x24^2) - 2.6 * x25 * exp(-0.1 * x25) - 5 * x26 * exp(-0.1 * x26) - 2.1
     * x27 * exp(-0.1 * x27) - 8.3 * x28 * exp(-0.1 * x28) - 1.1 * x29 * exp(-
     0.010000000000000002 * x29^2) - 8.3 * x30 * exp(-0.1 * x30) - 9 * x31 *
     exp(-0.010000000000000002 * x31^2) - 9.4 * x32 * exp(-0.010000000000000002
     * x32^2) - 8 * x33 * exp(-0.0010000000000000002 * x33^3) - 1.3 * x34 *
     exp(-0.1 * x34) - 0.6 * x35 * exp(-0.0010000000000000002 * x35^3) - 5.5 *
     x36 * exp(-0.1 * x36) - 7.6 * x37 * exp(-0.010000000000000002 * x37^2) -
     7.6 * x38 * exp(-0.0010000000000000002 * x38^3) - 3.2 * x39 * exp(-
     0.0010000000000000002 * x39^3) - 1.6 * x40 * exp(-0.0010000000000000002 *
     x40^3) - 4 * x41 * exp(-0.010000000000000002 * x41^2) - 8.1 * x42 * exp(
     -0.1 * x42) - 1.3 * x43 * exp(-0.010000000000000002 * x43^2) - 3.6 * x44
     * exp(-0.1 * x44) - 1.8 * x45 * exp(-0.010000000000000002 * x45^2) - 4.4
     * x46 * exp(-0.010000000000000002 * x46^2) - 5.4 * x47 * exp(-
     0.010000000000000002 * x47^2) - 3.7 * x48 * exp(-0.1 * x48) - 10 * x49 *
     exp(-0.1 * x49) - 0.5 * x50 * exp(-0.1 * x50) <= -788;
e5:  -7.5 * x1 * exp(-0.1 * x1) - 5.7 * x2 * exp(-0.010000000000000002 * x2^2)
     - 7.9 * x3 * exp(-0.0010000000000000002 * x3^3) - 4 * x4 * exp(-
     0.0010000000000000002 * x4^3) - 8.9 * x5 * exp(-0.010000000000000002 * x5^
     2) - 2.1 * x6 * exp(-0.010000000000000002 * x6^2) - 6.4 * x7 * exp(-0.1 *
     x7) - 9 * x8 * exp(-0.1 * x8) - 2.4 * x9 * exp(-0.010000000000000002 * x9^
     2) - 6.6 * x10 * exp(-0.010000000000000002 * x10^2) - 5.4 * x11 * exp(-
     0.0010000000000000002 * x11^3) - 7.3 * x12 * exp(-0.010000000000000002 *
     x12^2) - 5.9 * x13 * exp(-0.010000000000000002 * x13^2) - 0.7 * x14 * exp(
     -0.1 * x14) - 7.7 * x15 * exp(-0.0010000000000000002 * x15^3) - 6.8 * x16
     * exp(-0.0010000000000000002 * x16^3) - 1.7 * x17 * exp(-
     0.0010000000000000002 * x17^3) - 5.5 * x18 * exp(-0.1 * x18) - 9.3 * x19
     * exp(-0.0010000000000000002 * x19^3) - 7.2 * x20 * exp(-
     0.010000000000000002 * x20^2) - 8.5 * x21 * exp(-0.1 * x21) - 8.6 * x22 *
     exp(-0.0010000000000000002 * x22^3) - 0.1 * x23 * exp(-
     0.010000000000000002 * x23^2) - 3.1 * x24 * exp(-0.010000000000000002 *
     x24^2) - 3.5 * x25 * exp(-0.010000000000000002 * x25^2) - 7.8 * x26 * exp(
     -0.0010000000000000002 * x26^3) - 8.5 * x27 * exp(-0.010000000000000002 *
     x27^2) - 0.9 * x28 * exp(-0.0010000000000000002 * x28^3) - 7.9 * x29 * exp
     (-0.0010000000000000002 * x29^3) - 8 * x30 * exp(-0.0010000000000000002 *
     x30^3) - 2.5 * x31 * exp(-0.010000000000000002 * x31^2) - 8.1 * x32 * exp(
     -0.010000000000000002 * x32^2) - 6 * x33 * exp(-0.010000000000000002 * x33
     ^2) - 5.8 * x34 * exp(-0.010000000000000002 * x34^2) - 0.7 * x35 * exp(
     -0.1 * x35) - 2.1 * x36 * exp(-0.0010000000000000002 * x36^3) - 9.6 * x37
     * exp(-0.010000000000000002 * x37^2) - 9.3 * x38 * exp(-0.1 * x38) - 7.1
     * x39 * exp(-0.1 * x39) - 4.7 * x40 * exp(-0.0010000000000000002 * x40^3)
     - 8.7 * x41 * exp(-0.1 * x41) - 9.3 * x42 * exp(-0.010000000000000002 *
     x42^2) - 1.5 * x43 * exp(-0.010000000000000002 * x43^2) - 1.4 * x44 * exp(
     -0.010000000000000002 * x44^2) - 8 * x45 * exp(-0.010000000000000002 * x45
     ^2) - 1.8 * x46 * exp(-0.0010000000000000002 * x46^3) - 6.2 * x47 * exp(-
     0.010000000000000002 * x47^2) - 6.8 * x48 * exp(-0.010000000000000002 *
     x48^2) - 8.8 * x49 * exp(-0.010000000000000002 * x49^2) - 2.5 * x50 * exp(
     -0.010000000000000002 * x50^2) <= -984;
