I need to determine the Minimum value between the 8 variables using LINGO. But i am getting Syntax Error. Can anyone help me with the following model

Question

Good Day. I am trying to develop a Cut Order Planning model using LINGO

!There are 8 integer variables; x1+x2+x3+x4+x5+x6+x7+x8 <=16;

  !Identify the values of the following variables:
    y1 = 160/x1;
    y2 = 448/x2;
    y3 = 832/x3;
    y4 = 1408/x4;
    y5 = 896/x5;
    y6 = 544/x6;
    y7 = 320/x7;
    y8 = 192 / x8;
    
   !Determine the minimum variable with the lowest value:
 min(y1, y2, y3, y4, y5, y6, y7, y8);

Answer 1

In Lingo scripting language, it could be written as:

MODEL:
SETS:
S  /1..8/: X,Y,D;
ENDSETS
DATA:
D = 160 488 832 1408 896 544 320 192;
ENDDATA
minimize = z;
@SUM(S(I): X(I)) <=16;
@FOR(S(I): 
    Z>=Y(I);
    Y(I) = D(I)/X(I);
    @GIN(X(I));
);
END

Use 'Solver|Generate|Display-Model menu item to see the scalar version.