A country that advances its national interests abroad by prioritizing international cooperation, compromising with foreign allies, and participating in international organizations such as the United Nations is following a . a. hegemonic grand strategy
b. grand strategy of isolationist protectionism
c. multilateralism grand strategy
d. grand strategy of unilateralism

International cooperation is referred to as the process or the set of activities in which the different states are involved in the act of adjusting their behavior as per the preference of the policy coordination.  

The correct answer is c. multilateralism grand strategy

Option c. multilateralism grand strategy is correct because it emphasizes the  relationships between other countries. If the country encourages international relationships and cooperation with others, it is engaged in multilateralism.  This refers to an alliance of multiple countries pursuing a common goal, like the United Nations.  

Options A, B, and D are wrong options because they do not relate to the international cooperation among the states for policy coordination and also because of not participating in the allies and the international organizations.

To know more about the international cooperation and the allies, refer to the link below:

link

A country that advances its national interests abroad by prioritizing international cooperation, compromising with foreign allies, and participating in international organizations such as the United Nations is following a .

c. multilateralism grand strategy

Explanation:

The emphasis placed on relationships between other countries is dictated by a country's preferred objectives.  If the country encourages international relationships and cooperation with others, it is engaged in multilateralism.  This refers to an alliance of multiple countries pursuing a common goal, like the United Nations.  The opposite of this diplomatic strategy is called unilateralism.  This implies that the country chooses to go it alone without seekings the cooperation of others.  An example is when one country launches a military attack on another without seeking for the help or approval of other friendly countries.