PLEASE ANSWER PROBLEM 16 ONLY. THANK YOU!

15. The design of a system is to be pursued from one of two available alternatives. Each alterna- tive has a life-cycle cost associated with an expected future. The costs for the corresponding futures are given in the following table (in millions of dollars). If the probabilities of occur- rence of the futures are 30%, 50%, and 20%, respectively, which alternative is most desirable from an expected cost viewpoint.Use an interest rate of 10%? Design 1 Years Future 1 2 3 4 6 7 8 9 10 11 12 0.6 0.8 0.8 0.8 0.8 0.8 0.4 0.6 0.8 5.0 1.0 1.0 7.0 5.0 7.0 0.8 10.0 10.0 0.8 1.0 0.8 0.9 1.0 1.0 1.0 1.0 1.2 1.0 1.2 0.8 1.0 1.2 1.2 1.2 1.2 1.2 Years Optimistic Expected Pessimistic Design 2 Future Optimistic Expected Pessimistic 1 2 3 4 5 6 7 8 9 10 11 12 0.4 0.6 0.6 0.4 0.8 0.8 0.4 1.0 1.0 1.0 3.0 5.0 3.0 6.0 6.0 2.5 3.0 3.1 2.5 3.0 3.1 2.5 3.0 3.1 2.5 3.0 3.1 2.5 3.0 3.1 2.5 3.0 2.5 3.0 3.1 3.1 16. Prepare a decision evaluation matrix for the design alternatives in Problem 15 and then choose the alternative that is best under the following decision rules: Laplace, maximax, maximin, and Hurwicz with a = 0.6. Assume that the choice is under uncertainty