This lesson is helpful because it gives an example of linear optimization and uses the sum-product function which makes it easier to solve. Thank you, Matt.

I had subtitles on and it was still a very clear and informative video. Helped me through a project, thanks Matt.

Thank you for laying it out extremely simply

This lesson is so clear and straight to the point. Thank you so much for sharing!

Thanks a lot! Your videos are great and so easy to understand!

Wow, thank you so much! Feels great to finally get that right answer.

The video sound is pretty good, beyond my imagination

The most sorted video on this topic Thank a lot Sir

Fantastic and very helpful! Thank you

excellent video! you explained this better than my professor

Thank you very much, Matt! Loved this video!

Great video! Thank you so much!

Thank you for the great tutorial!

Thnx, this video helped aloot!

This was very interesting.

thanks a lot Sir, very helpful. Request you to kindly share different problems

thank you so much, helped a lot.

Great video Sir. Love from India

Thanks!

Thanks a Ton Sir! How did you come up with capacity and demand numbers ? How can I show you the matrix I have? It has the same suuply and demand values.

I'm getting excel solver couldn't find feasible solution. Why?

Hi, can you help me solve this below problem:? Let set M contain the sources that generate waste and N denote the set which includes all disposal sites. The amount of waste generated at source i is w_i and capacity of disposal site j is c_j. Let K denote the set of candidate transfer facilities. Each candidate transfer facility k has a fixed cost f_k , capacity cost q_k and processing cost α_k per tonne of waste. Let d_ik denote the distance from source i and transfer facility k and d_kj denote the distance from transfer facility k and disposal site j. A typical waste flow is as follows: From source i to transfer facility k, then from transfer facility k to disposal site j. Formulate an optimization problem such as the cost of transportation and fixed cost of locating transfer facilities is minimized. Present the formulation in general form For |M| = 4; |N| = 4 and |K| = 3, assume other quantities (w_i,c_j,f_k,α_k ,d_ik etc.,) and solve the problem in excel and present the results (Also ensure d_ik + d_kj≤ d_ij)

i got a degenerate solution