- 7. A defender has two locations (A and B) and can defend only one of them at a time. An attacker will attack exactly one of the two locations. Simultaneously, the defender decides which to defend and the attacker decides which to attack. The cost to the defender depends on which is defended and which is attacked. The defender wishes to minimize the cost, whereas the attacker wishes to maximize the cost. If location A is defended and attacked, the cost is 10 units. If location A is defended, but location B is attacked. The cost is 110 units. If location B is defended and attacked, the cost is 20 units. If location B is defended, but location A is attacked, the cost is 80 units. - Please write down the payoff matrix for the game; (5 points) - What is the defender's optimal mixed strategy? Please set up the optimization problem, but you do not need to solve the optimization problem; (5 points) - What is the attacker's optimal mixed strategy? Please set up the optimization problem, but you do not need to solve the optimization problem. (5 points)