you not only need 1 million to answer the question, you need to have enough capital to cover 6 months of work (since that is when you get paid).
Also correct me if im wrong, but do they mean 1 day each step -> 5 days for 1 component.
does this mean you can only produce 210/5 = 42 components? if yes then the cost of all 5 steps x 42 x 0.08 (profit margin) = profit each 210 days/year
then (1Mil + 6month production cost) / (profit each 210 days/210) gives you the amount of days needed to reach no need for any higher capital
however I find the question strange, no need for capital would imply no operating costs? also the question how many days will it take, does this imply work days or "normal week days"? also what does capacity constraint mean here, does this imply more component per step per day?