1) What combination of lines would you pick for each scenario (new factory) vs (expansion) to produce 240K tons and minimize cost. 2) Based on these combinations, which option (new factory vs expansion) would you recommend?
Example Answer for part 1) 2 lines of type 1 and 1 line of type 2 (cost 110M, production ~252K)
Is there a better way to solve such plug and play type questions instead of trying different combinations of 3 lines, 2 lines, 1 line 0 line of each type ..and finding cost / production for each combination? This is still doable for part 1) for the (new) facility since there's a 3 line limit but for (expansion), since any combination of lines are possible, how do you not waste time trying different combinations?
How to approach such plug and play problems in general to save time?