You are aiming to back up your e$-$folders listed in the table below using your USB flash memory. You cannot

backup all folders as the total capacity of the folders exceeds the $64GB$ USB capacity. Thus, you are looking to

store as many folders as possible. However, you must consider:

To select Either the "Videos Folder" or the "Audio" folder.

To Select at maximum $3$ of the following folders: "Videos", "Images", "Activities", and "Audio".

If "Official Docs" folder is selected, then "Images" folder should not be selected.

Solve the following:

a$.$ Formulate the problem.

b$.$ Solve the problem using LINGO$/$LINDO $($display the input and output$)$ and interpret your answer.

c$.$ Re$-$Formulate the problem if a fractional size of the Folder's memory can be stored in the USB.