$(10$ pts$)$ The attached bottle line sorting ladder logic program has the following functionalities:

Starts the main conveyor and divert conveyor when the NO start pushbutton $($I:$1/1)$ is momentarily pressed.

Stops the main conveyor and divert conveyor when the NC stop pushbutton $($I:$1/0)$ is momentarily pressed.

Uses sensor switch LS$1($I:$1/6)$ to detect all bottles.

Uses sensor switch LS$3($I:$1/8)$ to detect broken bottles.

Uses the Bit Shift Left instruction to automatically energize the divert gate $(O$:$\frac{2}{5}),$ thus transferring all broken bottles to the divert conveyor.

Modify the program to operate as follows:

Use one Bit Shift Left instruction to automatically energize the scrap gate $(O$:$\frac{2}{4})$ to transfer all broken bottles to the grinder $(O$:$\frac{2}{3}).$

Use a second Bit Shift Left instruction to automatically energize the divert gate to transfer all large bottles to the divert conveyor.

Have the grinder motor operate any time the main conveyor motor is operating.

Automatically stop the main conveyor motor whenever the scrap conveyor NO pushbutton $($ I:$\frac{1}{5})$ is closed. With the main conveyor stopped, allow the operator to manually operate the scrap conveyor motor $(O$:$\frac{2}{1})$ using this pushbutton and utilizing the box in place sensor switch LS$10(1$:$1/15)$ to move an empty scrap box into position.