Compute the expected payoffs for each alternative shown in the following decision tree $1.0" $1.3 Do nothing Small demand (4) Expand $1.3 Medium demand (.5) Large demand (1) $1.5 Do nothing Expand $1.6 Build $1.8 Subcontract $0.7 Do nothing Other use #1 $1.5 Other use #2 $1.0 Smail demand (4) Expand Medium demand (.5) $1.6 Large demand (1) $1.6 Do nothing Subcontract $1.5 Build $1.7 Build ($0.9) Do nothing Other use $1 $1.4 Other use #2 Small demand (4) $1.0 Medium demand (5) $1.0 Large demand (1) Do nothing Other use #1 $1.1 Other use #2 $0.9 * Net present value in millions $2.4 a. Analyze each of three alternatives ( subcontract, expand and Build), compute the EMV flor each option and decide which option is recommended (DON'T REPRODUCE THE TREE, JUST PROVIDE QUANTITATIVE ANALYSIS) b. As you are analyzing the tree, determine one potential trap you might/ did fall into, explain why