a) Use a mathematical model to find an optimal SOP plan. In your model also consider that the existing warehouse space is limited and can hold no more than 500 units at any given time. b) If you are presented with an option to rent additional warehouse space for 500 units on a monthly basis for $2000 per month, would you consider renting it? If yes, which month(s) would you rent it and why? You are expected to answer this part by using the LP solution you obtained in part (a) and without having to re-solve the model.