title: Transportation cost flow optimization using Python Scipy Minimize
body: <p>I have a transportation cost flow problem and the purpose is to minimize overall transportation cost from 5 carriers and more than 3000 transport lanes (Ex. NY to MIA)
  I will mock up some sample data from my dataset to help you have a better understanding of the problem. Please see my data image here</p>
  
  <p><img src="https://i.stack.imgur.com/H3mmN.png" alt="Transportation Optimization"></p>
  
  <p>I have tried Lonprog but it only works for lane by lane not for matrix decision variables</p>
  
  <p>Please advise proper way to solve the problem without commercial solvers (standard excel solver has 200 variables limit)</p>
  
  <p>Thanks</p>