1. Study the ladder logic program shown in the figure below and answer the questions that follow a. What type of counter is being programmed b. When would output Q2.0 be energized c. When would Q2.1 be energized d. Suppose your current value is 24 and you lose AC line power to the controller. When power is restored to your controller, what will your current value be? e. Rung 2 goes true momentarily by pressing Reset PB and then, rung 1 goes through five false-to-true transitions of rung conditions. What is the accumulated value of the counter after this sequence of events? i. f. When will the count be incremented? g. When will the count be reset? 2. Write a documented program that will implement the following conveyor motor control process: - The start button is pressed to start the conveyor motor. - Cases move past the proximity switch and increment the counter's accumulated value. - After a count of 13, the conveyor motor stops automatically and the counter's accumulated value is reset to zero