Pittsburgh Development Corporation (PDC) purchased land that will be the site of a new luxury condominium complex. PDC commissioned preliminary architectural drawings for three different projects: one with 30 condominiums, one with 60 condominiums, and one with 90 condominiums. The financial success of the project depends upon the size of the condominium complex and the chance event concerning the demand for the condominiums. The statement of the PDC decision problem is to select the size of the new complex that will lead to the maximum profit given the uncertainty concerning the demand for the condominiums. The following payoff table describes the profit PDC would earn, in millions of dollars, given a certain decision alternative and a certain state of nature. (a) Draw the decision tree for this company. (b) Show relevant tables to conclude what kind of complex the company should build. i. optimistic approach. Pittsburgh Development Corporation (PDC) purchased land that will be the site of a new luxury condominium complex. PDC commissioned preliminary architectural drawings for three different projects: one with 30 condominiums, one with 60 condominiums, and one with 90 condominiums. The financial success of the project depends upon the size of the condominium complex and the chance event concerning the demand for the condominiums. The statement of the PDC decision problem is to select the size of the new complex that will lead to the maximum profit given the uncertainty concerning the demand for the condominiums. The following payoff table describes the profit PDC would earn, in millions of dollars, given a certain decision alternative and a certain state of nature. (a) Draw the decision tree for this company. (b) Show relevant tables to conclude what kind of complex the company should build. i. optimistic approach