Newspaper stories take $3$ hours to write and pay a flat rate of $$45$ per story. Magazine articles take much longer to write $(25$ hours$)$ but pay significantly better $($ $$400$ per article$).$ Proofreading is often tedious, but the writer can always find proofreading jobs that pay $$20$ per hour. The writer wants to maximize her income, but doesn't want to work more than $45$ hours per week. Additionally, she dislikes proofreading so she would like to spend no more than $7$ hours per week on that task. Both newspaper storles and magazine articles must be completed in the week they are started $($HINT: use an integer constraint to be sure that all newspaper and magazine Jobs are finished with$$n a week$).$

Which of the following is the constraint that limits the amount of time the writer will work each week?

Multiple Cholce

$3N+25M+P45$

$45N+400M+20P45$

$3N+25M+P45$

$45N+400M+20P45$

$3N+25M+P7$