set N := 1..96;

param c1;
param c2;
param c3;
param c4{i in N};
param c5;

var x1{i in N}, >= 5;
var x2{i in N}, binary;
var x3{i in N}, binary;

s.t. f{i in N}: x1[i] + x2[i] + x3[i] = c4[i];
s.t. s{i in N}: x1[i] + x3[i] = c5;

minimize obj: sum{i in N} c1 * x1[i] + c2 * x2[i] + c3 * x3[i];