Math

posted by Travis

Solve the following linear programming problems by the graphical method

Dr. Lum teaches part-time at two different community colleges, Hilltop College and Serra College. Dr. Lum can teach up to 5 classes per semester. For every class taught by him at Hilltop College, he needs to spend 3 hours per week preparing lessons and grading papers, and for each class at Serra College, he must do 4 hours of work per week. He has determined that he cannot spend more than 18 hours per week preparing lessons and grading papers. If he earns \$4,000 per class at Hilltop College and \$5,000 per class at Serra College, how many classes should he teach at each college to maximize his income, and what will be his income?

1. Steve

so, what are the constraints, and the value to maximize?

In algebra, not words.

2. Travis

He can only teach 5 classes and he can't spend more than 18 hours per week preparing lessons and grading papers-Those are the constraints I think and he has to maximize his income

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