LINGO程式問題求解

Question

有兩个长方形长4.35米宽1.9米及长6.8米宽2.4米，在上面摆放4類長方形，尺寸件数如下图，不可分割
最多能摆放多少个长方形，有摆放图样最好，以LINGO求解

类型 1 2 3 4
长(cm) 107 152 183 183
宽(cm) 35 35 35 35
件数(数) 8 4 7 6

Answer 1

sets:
  types /1*4/;

parameters:
  length(types), width(types), count(types);

variables:
  x(types);

binary variables:
  x(types);

equations:
  area_limit(types),
  count_limit;

area_limit(types).. length(types) * 35 * x(types) <= 4.35 * 1.9;
count_limit.. sum(types, x(types)) <= sum(types, count(types));

model rectangle_placement:
  maximize sum(types, x(types));

solve rectangle_placement using mip;