a$)$ Explain deign of simulation experiments with applications operations management.

b$)$ Two companies A and B are competing for the same product. Their different strategies are given in the following pay$-$off matrix: Determine the optimal strategies for both the companies.

$\backslash$table$[[,,$Company $B,],[,,$I,II$,$III,,,,$],[$Company A$,$I,$-2,14,-2,,,,],[,$III,$-5,-6,-4,,,,],[,$III,$-6,20,-8,,,,]]$a