Multivariable programming: number of var's may change but always 4 inequalities

[markowsky]

I'm not sure if I'm presenting my problem in right section, so I'm sorry if I'm not, and please let me know which I should go to.

I'm trying to find the solution to such a problem:

0.65a+0.01b+0.02c+0.06d+0.1e<=33
0.01a+0.02b+0.8c+0.01d+0.013e<=30
0.012a+0.2b+0.013c+0.04d+0.02e<=42
0.328a+0.77b+0.167c+0.89d+0.885e<=150

a, b, c, d, e >= 0

the number of variables may change - may be bigger and may be smaller; the number of inequalities is always the same, however you could get rid of the last one; I don't know how to approach this. I'm assuming I should use a sort of maximization programming algorithm, but I feel lost and don't know which direction to go. I'm asking for pointing me out the right direction, however seeing the process of finding solution would be very helpful.

Many thanks

 

[stapel]

I'm not sure if I'm presenting my problem in right section, so I'm sorry if I'm not, and please let me know which I should go to.

I'm trying to find the solution to such a problem:

0.65a+0.01b+0.02c+0.06d+0.1e<=33
0.01a+0.02b+0.8c+0.01d+0.013e<=30
0.012a+0.2b+0.013c+0.04d+0.02e<=42
0.328a+0.77b+0.167c+0.89d+0.885e<=150

a, b, c, d, e >= 0

the number of variables may change - may be bigger and may be smaller; the number of inequalities is always the same, however you could get rid of the last one; I don't know how to approach this. I'm assuming I should use a sort of maximization programming algorithm, but I feel lost and don't know which direction to go. I'm asking for pointing me out the right direction, however seeing the process of finding solution would be very helpful.

It's called "linear programming", and is part of the topic of "optimization techniques". It's an entire area of study. You may want to consider enrolling in an appropriate sequence of courses at your local university.