A student wants to get $\text{'}A\text{'}$ grade in the deterministic optimization course. The student needs to take $2$ exams and the student needs to have an average of $85$ marks or above from the exams to get $\text{'}A\text{'}.$ During the day of the second exam, the student has another exam on the same day so the student knows that he$/$she can't be at his$/$her best.

Also, the instructor gives the following bonus points for the exams, if the scores are between $70$ and $79,$ there will be a bonus of $5$ marks, if the scores are between $80$ and $89,$ there will be a bonus of $6$ marks, and for anything $90$ and above, there will be a bonus of $7$ marks. Based on this, note that the total score can go beyond $100$ marks in an exam.

Devise a plan for the student to achieve his$/$her target. The plan should give an idea regarding the minimum marks he$/$she should target in each exam to get an $\text{'}A\text{'}$ in the course. Formulate this as a mathematical model.