Please fill in the blanks by using an integer number $($can be negative, positive or $0).$ Typo mistakes will not be accepted.

$(5$ points$)$ Suppose your friend offers X TL$,$ in return of $10$ units of Resource $1.$ If the X TL is greater than Blank $1.$ Fill in the blank, read surrounding text.

$,$ you will accept his offer.

$(5$ points$)$ For the given problem above if the objective function coefficient of X$3$ is increased to $15,$ what will be the new objective function? Blank $2.$ Fill in the blank, read surrounding text.

$(5$ points$)$ For the given problem above if the right$-$hand$-$side coefficient of Resource $1$ is decreased to $10,$ what will be the new objective function? Blank $3.$ Fill in the blank, read surrounding text.

$(5$ points$)$ For the given problem above if the right$-$hand$-$side coefficient of Resource $2$ is increased to $100,$ what will be the new objective function?