Question 1 (40 points): The systems engineering project manager for ENG company is currently faced with the question of whether to award a $100,000 contract to SW software company. The project manager has three internal ratings (poor risk, average risk, and good risk) for evaluation of a contractor, but does not know which category fits the SW software company. Internal ratings indicate that 20% of similar companies are poor risks, 50% are average risks, and 30% are good risks. If contract is awarded the expected profit for poor risk is -$15,000, for average risk $10,000, and for good risk $20,000. If contract is not awarded, the ENG company expected payoff is $0. Alternatives Poor Risk 20% -$15,000 State of Nature / Probability Average Risk Good Risk 50% 30% $10,000 $20,000 Award Contract to SW software Do not Award Contract to SW software $0 $0 $0 Determine which alternative should be chosen