Henry is the owner of a real estate investment company. He has identified four apartment buildings at each one of the four locations: Amber Villa, Boustead Riverside, Crescent Court and Dunkin Park. Henry has approached three banks - Western Bank, Tokyo Bank and Hon Kong Bank regarding financing. Because Henry has been a good client and has maintained a high credit rating in the community, each bank is willing to consider providing all or part of the mortgage loan needed on each property. Each bank has set differing interest rates on each property (rates are affected by the neighbourhood of the apartment building, condition of the property, and desire by the individual savings and loan to finance various size buildings), and each bank has placed a maximum credit ceiling on how much it will lend Henry in total. This information is summarized in the table below. Each apartment building is equally attractive as an investment. So, Henry has decided to purchase all four buildings at the lowest total payment of interest. He wants to know from which banks he should borrow to purchase which buildings. More than one savings and loan can finance the same property. The objective is to minimize the total interest paid. a) What would the optimal solution? b) What would be the total interest paid? c) What would be the optimal solution if Asian Bank offers additional $300,000 credit line? d) What would be the optimal solution if Western Bank offers the lowest interest rates from the other two banks for all four properties