1E: C'I The cost of building warehouse i is estimated to be - SEK [land purchase, construction costs, etc.] and the total capacity of warehouse location i is in units. Each customer j has a demand for d] units. The transport cost c\"- per unit tra nsported is calculated as the distance between warehouse i and customer j. The administration and handling costs of a warehouse are ass um ed to var-Ir depending on how many customers served. This cost is it; EEK for each customer that is served by warehouse i. In addition, each warehouse can serve at most if customers. Tasks 1. Formulate and sohre an integer programming model that minimizes the cost for building and serving all the customers. it. Where should the compani.r locate its warehouses. b. From which warehouse should the customers be sen-red? c. Are any of the customers sewed by more than one warehouse? d. Does one or some of the selected warehouses have excess capacity? e. What happens if the demand increases with for exam pie 5%, 10%. ...? f. What happens if the capacity and the demand increase, check different scenarios