The constraints that represent the given situation in the question are; Option D;
f ≥ 0
m ≥ 0
f ≤ 30
45m + 30f ≤ 30
Inequalities
We are told that;
- Maths sessions (m) are 45 minutes long per week.
- French sessions (f) are 30 minutes long per week
Thus; we can say that; m ≥ 0 and f ≥ 0
We are told that Mary doesn't want to deliver more than 30 French sessions in one week. Thus;
f ≤ 30
Combining all the inequalities, we can say that;
45m + 30f ≤ 30
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