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 $64$ GB 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.

Folder Size $($GB$)$

Senior Project $112$

Videos $215$

Images $314$

Courses $413$

Activities $57$

Official Docs $66$

Audio $78$