E.T. is about to fly home. For the trip to be successful, the ship’s solar relay, warp drive, and candy maker must all function properly. E.T. has found three unemployed actors who are willing to help...

E.T. is about to fly home. For the trip to be successful, the ship’s solar relay, warp drive, and candy maker must all function properly. E.T. has found three unemployed actors who are willing to help get the ship ready for takeoff. Table gives,

as a function of the number of actors assigned to repair each component, the probability that each component will function properly during the trip home. Use dynamic programming to help E.T. maximize the probability of having a successful trip home.