Problem 1. how we can change the weight of the former goal as four times instead of twice. solve it. (Goal Programming) Problem 2. Solve this problem by using goal vector method (L-Plane Method) with the goals shown below :

- sufficient goal of total profit 1.2 million yen

- necessary goal of total profit : 0.7 million yen

- sufficient total exceed working time : 20 hours

- necessary total exceed working time : 40 hours

One factory produces 4 kinds of products (A,B,C,D) with 2 kinds of raw material 1 and 2. Product city A C Material 1 1 ton 0 ton 3 tons 3 tons 50 tons 0 tons 2 3 tons 2 tons 1 ton 40 tons 0 H Working Hour 4 H 2 H 5 H 60 H 40k Yen 30k Yen50k Yen Profit 60k Yen Three goals are listed below and using the goal programming to formulate: Goal 1: Total profits need to be 1 million Yen exactly. Goal 2: The usage of material 1 needs be no more than capacity while the material 2 needs to be fully utilized. (weighting of goal of material 1 is twice than goal of material 2) Goal 3: Total working time needs be no more than capacity 60 hours. One factory produces 4 kinds of products (A,B,C,D) with 2 kinds of raw material 1 and 2. Product city A C Material 1 1 ton 0 ton 3 tons 3 tons 50 tons 0 tons 2 3 tons 2 tons 1 ton 40 tons 0 H Working Hour 4 H 2 H 5 H 60 H 40k Yen 30k Yen50k Yen Profit 60k Yen Three goals are listed below and using the goal programming to formulate: Goal 1: Total profits need to be 1 million Yen exactly. Goal 2: The usage of material 1 needs be no more than capacity while the material 2 needs to be fully utilized. (weighting of goal of material 1 is twice than goal of material 2) Goal 3: Total working time needs be no more than capacity 60 hours