Write a program(in c++) which determines which act(s) should be chosen in the decision problem below according to each of the following decision rule: (a) The maximin rule; (b) maximax; (c) minimax regret; (d) the optimism-pessimism rule (for alph > .25) and (e) the principle of insufficient reason.

The 4 by 4 decision matrix is defined by the following row vectors corresponding to each of the acts: a1=(20, 20, 0, 10); a2=(10, 10, 10, 10); a3=(0, 40, 0, 0); a4=(10, 30, 0, 0). For each of the decision rules, supply the commented source code (with instructions on how to link and compile) and sample results.