title: Are multiple objectives possible? (OR-TOOLS Constraint Programming)
body: <p>I have a problem where I have a set of warehouses with a given production capacity that send some product to a list of customers at a given cost. I'm trying to minimize the total cost of sending the products so that each customer's demand is satisfied. That part is sorted.</p>
  <p>Now I need to add a new objective (or constraint) where I try to satisfy all the clients demand at a minimum cost but also using the minimum number of warehouses possible. Say start with 5 warehouses, if the problem is impossible then try 6, 7, 8 etc. until a solution is found were I satisfy all the demand using the minimum number of warehouses possible.</p>
  <p>How could I go about this using or-tool constraint programming module? Is it even possible? I've had a good look at the documentation but couldn't find any constraint or function that seemed to cater for this idea.</p>