Problem 1-09 (Algorithmic) Suppose the following is the mathematical model: Max

Question

Problem 1-09 (Algorithmic) Suppose the following is the mathematical model: Max 11x s.t. ax & 50 a is the number of hours required for each unit produced hours uired for where If vve have stochastic model in which the value of varies between 2 nd S ' e., a 2, 3, 4. or = 5)the possisle values for the number of hours required per unit, what is the optimai valu for x? If required round your answer to two declmal places. b. What problems does t this stochastic model causo? The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Explanation / Answer

Rejected

Rejected

Rejected

11 X is max for a= 2

11x = 275

X = 25.00 (Ans)

B.

With the stochastic model, there needs to be optimmization for both X and for value of a, hence the 2 way optimization.

X 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25.00 26 a 2 obj func 11x 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165 176 187 198 209 220 231 242 253 264 275.00 286 constraint 1 <=50 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50.00 52 Ans Rejected X 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 16.67 17 a 3 obj func 11x 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165 176 183.33 187 constraint 1 <=50 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 50 51 Ans

Rejected

X 1 2 3 4 5 6 7 8 9 10 11 12 12.50 13 a 4 obj func 11x 11 22 33 44 55 66 77 88 99 110 121 132 137.5 143 constraint 1 <=50 4 8 12 16 20 24 28 32 36 40 44 48 50 52 Ans

Rejected

X 1 2 3 4 5 6 7 8 9 10.00 11 a 5 obj func 11x 11 22 33 44 55 66 77 88 99 110.00 121 constraint 1 <=50 5 10 15 20 25 30 35 40 45 50.00 55 Ans

Rejected

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