Maximize Z $=34$ X$1+43$ X$2+29$ X$3$

Subject to: $5$ X$1+4$ X$2+7$ X$3<=50$

$1$ X$1+2$ X$2+2$ X$3<=16$

$3$ X$1+4$ X$2+1$ X$3<=9$

all Xi are integer and non$-$negative

Final Integer Solution: Z $=208$

Decision

Variable Solution

X$11$

X$20$

X$36$

The above model represents a solution for an integer programming problem. If this problem had been solved as a simple linear programming problem, what would you expect the value of the objective function to be$?$

Group of answer choices

less than $104$

greater than $208$

greater than $416$

less than $208$