Madrid FC own land in the metropolitan area of Madrid. They would like to build a sports complex which would include state-of the art training facilities for elite athletes. Your consultancy office with the help of architects and sports consultant have drawn up three different projects) (i) 10 hectare site with small capacity for athletes (ii) 20Ha site and moderate level of capacity; (iii) a high-level complex at 30Ha. The success of the project depends upon several factors. Madrid FC want to build make the largest profit. There is uncertainty concerning the demand for the three projects. The decision is to select the optimum project depends on following three decision alternatives: Decision 1: a small sports complex at 10Ha Decision 2: a medium complex at 20Ha Decision 3: a large complex at 30Ha Some other information investigated: Decision 1 would be in the centre of town where property and land are expensive but would have some kudos as it is close to the football ground. Decision 2 is close to the centre but transport would be needed to get to it. Decision 3 is out of town with lots of opportunity for expansion. A study was conducted to get some prior knowledge for the probability of each alternative occurring at 2 different demand level. The two directions investigated were high demand and low demand and based on various financial metrics and a probability assigned to these variables (see table 1 below). Thus, management must first select a decision alternative (complex size), then other states of nature will be investigated e.g. (demand for the sports facility). Given the three decision alternatives and the two states of nature, which sports complex should Madrid FC advance? To answer this question, Madrid FC will need to know the consequence associated with each decision alternative and each state of nature. Table 1: Payoff for Madrid FC Sports Complex (payoff in Euros million) Table 2: A survey was completed with 100 people that showed strong interest in signing up to train at the complex. A contingency table of the data is shown below \begin{tabular}{|c|c|c|c|} \hline & Trains more than 3 times a week & Trains less than 3 times a month & TOTAL \\ \hline Football fan & 20 & 40 & 60 \\ \hline Non-football fan & 20 & & \\ \hline TOTAL & 40 & 20 & 40 \\ \hline \end{tabular} 1) Based on the information in the case, what are Madrid FCs key drivers and objectives in this decision- making process? 2) Are there any other objectives that you think they should consider? 3) Identify the basic elements governing Madrid FCs decision-making (values, decisions, uncertain events, consequences, etc) ? 4) Develop a decision tree for this decision-making process. 5) What roles do decision trees and influence diagrams play in helping to understand and communicate the structure of your decisions in this project? 6) Which decision would you recommend based on your investigations. Justify your recommendations? 7) Given the information in the contingency table, what is the significance of this data and which marketing solutions might be applicable for Madrid FC? 8) Develop arguments on how decision-making could be improved in a project of this nature