posted
Is it possible to solve a linear programming problem with multiple factors? Such as this one -
" It’s only one month away from the final exams at your school and you need to study! There will be three tests – Latin, Algebra I, and English. Each of your teachers has required you to study for a given amount of time each week leading up to the exams. It is up to you to decide how many days out of each week you will spend studying and how many hours you will spend studying on each of those days. Your Latin teacher has asked you to study up to 7 hours per week, your algebra teacher has asked you to study up to 8 hours per week, and your English teacher has asked you to study up to 6 hours per week. Considering the amounts of studying you need to do each week, you decide to spend as many as 5 days studying each week. How many hours can you study each day while minimizing the number of days you spend studying per week and fulfilling the requirements set by your teachers?"
It doesn't seem possible to have the constraints -x<6 x<7 x<8 x>0 y>0 y<5 How would you define between the different subjects once it's graphed?! I think this is impossible...unless it's a 3-D one...which I don't know how to do... Posts: 667 | Registered: Aug 2003
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posted
Doesn't seem to be much of a linear programming problem. You need to study a total of 21 hours worth per week. You will take at maximum 5 days per week doing that. Spreading out the studying evenly, you could study as little as 4.02 hours per day. The minimum number of days is actually subjective, as no maximum number of hours per day is specified. You could theoretically do all 21 hours in one day.
Posts: 15770 | Registered: Dec 2001
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