Set seed 2016555007

Question No. 1. Suppose a machine has fifteen buttons/switches controlling its motion: . . . . . . Tilt up (fast) Tilt down (fast) Tilt up (slow) Tilt down (slow) Turn left (fast) Turn right (fast) Turn left (slow) Turn right (slow) Cable up (fast) Cable down (fast) Cable up (slow) Cable down (slow) Bucket open (fast) Bucket open (slow) Bucket close (fast) Bucket close (slow) . . . . . You have been given a task to design an improved remote control for this machine by reducing the number of buttons/switches on the remote control and keep it as lightweight as possible