ay we interpret the modal operators $$ and $$ to represent the notions "necessary" and "possible"

respectively, and say we interpret the propositional letters p :"the company expands" $,$ q: "hire new

employees" and r: $$the company will increase profits$,$ respectively.

$($i$)$

Express the following modal logic formula in English:

$($ p $($q $$ r$))$

$($ii$)$

Translate the following declarative sentence into modal logic:

$.$ It is possible that the company will expand and it is necessary that if the company expands then

it will hire new employees