Please answer this question. thank you.

Question 8. [Marks:10) [2] a) Compare between Linear programming and Nonlinear programming with necessary figures. b) Explain the process of finding the maximum of an ordinary function of [4] a single variable II. A police car is on patrol in a Thana known for its criminal activities. [4] During a patrol, there is a 45% chance of responding in time to the location where help is needed, else regular patrol will continue. Upon receiving a call, there is a 6% chance for cancellation in which case normal patrol is resumed) and a 26% chance that the car is already responding to a previous call. When the police car arrives at the scene, there is a 10% chance that instigators will have fled (in which case the car returns back to patrol) and a 50% chance that apprehension is made immediately. Else, the officers will search the area. If apprehension occurs, there is a 60% chance of transporting the suspects to the police station, else they are released and the car returns to patrol. Assess the transition matrix of the police patrol activities