For a system to work properly, all three of its independent subsystems must function properly. to increase the reliability of the system, spare subsystems may be added. It costs $225 to add a sore subsystem, $250 for a spare subsystem 2, and $210 for a spare subsystem 3. However, a maximum of two spares may be added for each subsystem, and only $800 is available for spare subsystems. for each subsystem, the probability that the subsystem will work for the possible numbers of SPARES is given in the table below. QUESTION:If dynamic programming is to be used to maximize the probability that the overall system will work properly, which of the following would be the stages for the dynamic programming formulation? A. remaining amount of money for spare subsystems, B. The probability of a subsystem working for possible numbers of spares. C. the three types of subsystems. D. The number of spares to add for each type of subsystemIf dynamic programming is to be used to maximize the probability that the overall system will work properly, which of the following would be the states for the dynamic programming formulation? A. the probability of each type of subsystem working. B. the # of spares to add for each type of subsystem. C. none other choices. D. the remaining amount of money available for spare subsystems If dynamic programming is to be used to maximize the probability that the overall system will work properly, which of the following would be the decision variables for the dynamic programming formulation? A. The # of spares to add for each type of subsystem. B. the remaining amount of money for spare subsystems. C. the cost of each type of subsystem. D. the probability of each type of subsystem working What is the optimal number of spares for subsystem 3 to add in maximizing the overall reliability of the system? A. 3. B. 0. C. 1. D. 2