(2) The Metal Discovery Group (MDG) is a company set up to conduct geological explorations of parcels of land in order to ascertain whether signicant metal deposits (worthy of further commercial exploitation) are present or not. Currently MDG has an option to purchase outright a parcel of land for 3m. If MDG purchases this parcel of land then it has the option of putting it up for sale immediately. There is a 40% probability that it will sell for $5m and a 60% probability that it will sell for $2m. Alternately MDG can conduct a geological exploration of the land. Past experience indicates that the type of parcel of land under consideration has two types of signicant metals: Manganese and Gold. ' The cost of surveying for Manganese is $1.5m and there is a 25% probability of high yields resulting in a prot of 8m and a 75% probability of low yields resulting in a prot of $3m The cost of surveying for Gold is $2.5m and there is a 45% probability of high yields resulting in a prot of 7m and a 55% probability of low yields resulting in a prot of $5m a. Draw the decision tree for this problem. b. Calculate the expected values and determine the best decision for MDG company 0.4 Sell high D.4(5)+0.6(2]:3.2 7 0.45m+.55(5);5.9 055 Low yield do not sell 0.4 .25(3)+.75(3):4.25 -1 .5 0.75 Low yield 4251 5:275 Purchase the land and survey for Gold. Please see the examples in the \"Decision Trees\" folder