In the 2002 MPR annual session there were 2 opinion groups consisting of various faction members who asked to amend article 29 of the 45 Constitution in accordance with the Jakarta charter and another group which recommended that article 29 of the 45 Constitution be maintained as the original. And at the annual session there was almost a dead lock, and to avoid this, the faction members were given time to hold a lobby for 2 hours. After that, if there was still a dead lock, a vote would be held.

In order to lobby, each group forms a success team and if it is considered that in this annual session, 3 large factions were formed, namely F-PDIP, F-GOLKAR and F-REFORMATION, the number of members of which is 243, 180 and 126 respectively. In each faction there are MPR members who do not agree to amend the 1945 Constitution in accordance with the Jakarta Charter and members who agree in accordance with the Jakarta Charter.

Before voting, each successful team was given the same opportunity to hold a lobby. Based on the time and opportunity, each successful team created the following strategy:

If the successful team agrees with the amendment to article 29 of the 1945 Constitution, it uses all of its existing lobbying time to campaign only in the F-GOLKAR faction group. in F-REFORMATION. Meanwhile, if the successful team does not agree with the amendment to article 29 of the 45 Constitution, campaigning with time to lobby, half for the F-PDIP faction group area and half for the F-REFORMATION faction group, then the successful team does not agree with the amendment to article 29 of the 45 Constitution, it will attract all members of the MPR in F-PDIP and 0.9 MPR members in F-REFORMASI. If the Team is successful in agreeing with the changes to article 29 of the 45 Constitution, using half the time for lobbying to campaign in the F-PDIP and F-REFORMATION faction groups then the Team is successful in agreeing with the changes in article 29 UUD 45 will win MPR members 0.6 shares in F-GOLKAR, and 0.05 shares in the F-PDIP faction group and 0.4 share of MPR members in the F-REFORMATION faction group. Meanwhile, if the successful team does not agree with the changes to article 29 of the 45 Constitution, campaign with half the lobbying time for the F-GOLKAR faction group and half for the F-REFORMATION faction group, then the MPR members who do not vote for the successful team agree with the changes to article 29 of the 45 Constitution obtained.

If the successful team does not agree with the changes to article 29 of the 1945 Constitution, it uses half of its time for lobbying to campaign in the PDI-P and F-REFORMATION faction groups, while the successful team agrees with the changes to article 29 of the 45 Constitution, uses all of the existing lobbying time to campaign in the group. F-PDIP faction then 0.3 F-PDIP MPR members 0.2 then in F-REFORMATION and 0.6 MPR members in the F-GOLKAR faction group voted for the Success Team to agree with the changes to article 29 of the 1945 Constitution while the rest voted for the Success Team to disagree with changes to article 29 of the 45 Constitution. If the successful team does not agree with the changes to article 29 of the 45 Constitution, half of its time for lobbying will be used to campaign in the F-GOLKAR and F-REFORM faction groups, while the successful team will agree with the changes to article 29 of the 45 Constitution. the existing lobby to campaign in the F-PDIP faction group means 0.4 MPR F-PDIP members, 0.1 MPR members in the F-REFORMASI faction group and 0.3 MPR members in the F-GOLKAR faction group voted for the Success Team to agree with the changes Article 29 of the 1945 Constitution, while others chose the Success Team and did not agree with the amendment to Article 29 of the 1945 Constitution.

If the successful team agrees with the amendment to article 29 of the 1945 Constitution, it uses all of its lobbying time to campaign in the F-GOLKAR faction group, while the successful team does not agree with the amendment to article 29 of the 45 Constitution, campaigning with half the time for lobbying in the F-GOLKAR and F faction groups. -REFORMATION, then 0.5 MPR members in the F-GOLKAR faction group and 0.1 MPR members in the F-REFORMATION faction group voted for the Success Team to agree with the changes to article 29 of the 1945 Constitution, while the others voted for the Success Team to disagree with the changes to the article. 29 UUD 45.

If the successful team agrees with the changes to article 29 of the 1945 Constitution and uses half of its lobbying time to campaign for F-PDIP and F-REFORMATION while the successful team does not agree with the changes to article 29 of the 1945 Constitution as well, then 0.4 MPR members will be in the F-GOLKAR faction group and 0.5 MPR members in the F-REFORMATION faction group voted for the Success Team to agree with the changes to article 29 of the 45 Constitution while the rest would vote for the Success Team to disagree with the changes to article 29 of the 45 Constitution. What is the tendency of each group to achieve its goals optimally? . Formulate and solve it using the knowledge you have learned.