please solve a b and c

Uncapacitated location problems: EnerTec is a global supplier of machines able to make use of altemative energies. Currently customers are served from the production site in Houston but the logistics manager plans to expand the company's distribution network by one or more warehouses. He identified the following potential locations: Dallas, San Antonio, Amarillo, and Austin. There are 5 main customers demanding 11,23,38,20, and 8 machines, respectively. The following table gives the transportation costs between all locations and customers needed to satisfy the total demand. a) Which one is the median? Assume the given values are disutilities: which one is the center? Explain the difference to a p-median problem. Given any solution for a p-median problem: how would you assign customers to locations? b) The realization of a warehouse leads to given fixed costs which are 13,18,8,17 for Dallas, San Antonio, Amarillo, and Austin, respectively. Which of the potential sites should be realized in order to minimize the total costs. Solve the problem by using the (i) ADD and the (ii) DROP algorithm. c) Formulate the LP-Model for the problem given in Exercise 1 and include the following constraints: - Deliveries from Dallas to customer 3 are not allowed - Amarillo has to supply customer 1 - At least 30% of customer 2's demand has to be delivered from San Antonio Uncapacitated location problems: EnerTec is a global supplier of machines able to make use of altemative energies. Currently customers are served from the production site in Houston but the logistics manager plans to expand the company's distribution network by one or more warehouses. He identified the following potential locations: Dallas, San Antonio, Amarillo, and Austin. There are 5 main customers demanding 11,23,38,20, and 8 machines, respectively. The following table gives the transportation costs between all locations and customers needed to satisfy the total demand. a) Which one is the median? Assume the given values are disutilities: which one is the center? Explain the difference to a p-median problem. Given any solution for a p-median problem: how would you assign customers to locations? b) The realization of a warehouse leads to given fixed costs which are 13,18,8,17 for Dallas, San Antonio, Amarillo, and Austin, respectively. Which of the potential sites should be realized in order to minimize the total costs. Solve the problem by using the (i) ADD and the (ii) DROP algorithm. c) Formulate the LP-Model for the problem given in Exercise 1 and include the following constraints: - Deliveries from Dallas to customer 3 are not allowed - Amarillo has to supply customer 1 - At least 30% of customer 2's demand has to be delivered from San Antonio