at what node the new warehouse can be started? and the ans for recommendation questions

TransMeat serves several grocery stores and restaurants in the London metropolitan area from its warehouse in East London. The company now aims to expand its customer base immensely in the rest of England; however, the current warehouse may reach its capacity limit pretty soon. Therefore, the executive managers consider using a portion of the venture funding to open more warehouses within the target service region. In a round of meetings, you were able to gather some information from the company. Trans Meat groups the target customers into ten demand nodes based on their locations. These demand nodes are shown in Figure 1, which also depicts the distance (miles) between demand nodes. 56,000 . 13,000 99 mi J 63 mi 1 78 mi 14,000 15,000 43,000 G 61 mi 40 mi 22,000 56 mi B 80 mi A 84,000 77 mi 79 mi WES 64 mi F E 115 mi 17,000 D 24,000 12,000 Figure 1 Demand nodes of Trans Meat's network TransMeat conducted a preliminary analysis to estimate the demand for their patties. Figure 1 shows the estimated annual demand next to each one of the nodes. Note that the current warehouse is located at node A, and the management wants to keep this facility open. The annual cost of opening and operating other warehouses is estimated to be 500,000 per facility. Additional warehouses will be identical to the current one, which has a capacity of 100,000 patties per year. The founder of TransMeat has emphasised that it is very important to select the locations minimising the total cost since the investors are concerned about how this round of the funding is to be spent. Assume that the unit transportation cost per mile is 0.15. Your first task is to help Trans Meat determine where to locate new warehouses and how to allocate capacities. You should also include a discussion on how your recommendation would change . if it was possible to increase the capacity of the current warehouse with an additional investment. if the unit transportation cost per mile was smaller or larger than the given value