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our teacher made a changes in table these table changes are in the second pic please solve like that Q2: The young student Ali inherits

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image text in transcribed our teacher made a changes in table these table changes are in the second pic please solve like that
Q2: The young student Ali inherits 6000 TL and has to decide between becoming partner in two different entrepreneurial ventures started by his friends Bra and Candan. He has 600 hours to spare and is planning to join in one or both friends' ventures in whichever combination would maximize his total estimated profit. Becoming full partner in Bra's venture requires an investment of 4000 TL and 300 hours, and the estimated profit is 4900 TL. Investing in Candan's venture requires 3000 TL and 400 hours, with an estimated return of 4900 TL. ALI can choose to enter at any fraction of a full partnership, and his share of the profit would be proportional to this fraction. Recall that X. and x are the fractional investment in Bra's and Candan's ventures respectively. You helped Ali formulate the problem of finding the best combination. The initial and final tableaux are given below: Initial Tableaux Coeff Z Basic Var Z 3 24 Xi -4900 RHS 0 1 0 1 0 0 1 1 0 0 0 0 1 -4900 0 1 3000 400 0 4000 300 0 0 0 X 0 0 0 1 0 XS o 0 0 0 1 0 0 1 6000 600 X Final Tableaux: Coeff Z X X4 X5 1 Basic Var Z X3 X X X Xi 0 0 0 1 o 0 0 0 0 0 0 0 0 1 0 1 0 0 0 RHS 8400 1/7 1/7 6/7 6/7 7/10 7 -4/700 3/700 3/700 -4/700 4/700 -3/700 -3/700 4/700 1 0 0 0 a) Construct a dual problem from initial Tableaux, b) What is the maximum allowable change in the returns from either venture fort he current solution to remain optimal? (Hint: Sensitivity for C. and C:) Initial Tablo 2 X X2 Si Sz Sz su CNY S S2 Sz Su Final Tobi 2 X X2 si Sz Sz Su 2 SA S2 X2 Q2: The young student Ali inherits 6000 TL and has to decide between becoming partner in two different entrepreneurial ventures started by his friends Bra and Candan. He has 600 hours to spare and is planning to join in one or both friends' ventures in whichever combination would maximize his total estimated profit. Becoming full partner in Bra's venture requires an investment of 4000 TL and 300 hours, and the estimated profit is 4900 TL. Investing in Candan's venture requires 3000 TL and 400 hours, with an estimated return of 4900 TL. ALI can choose to enter at any fraction of a full partnership, and his share of the profit would be proportional to this fraction. Recall that X. and x are the fractional investment in Bra's and Candan's ventures respectively. You helped Ali formulate the problem of finding the best combination. The initial and final tableaux are given below: Initial Tableaux Coeff Z Basic Var Z 3 24 Xi -4900 RHS 0 1 0 1 0 0 1 1 0 0 0 0 1 -4900 0 1 3000 400 0 4000 300 0 0 0 X 0 0 0 1 0 XS o 0 0 0 1 0 0 1 6000 600 X Final Tableaux: Coeff Z X X4 X5 1 Basic Var Z X3 X X X Xi 0 0 0 1 o 0 0 0 0 0 0 0 0 1 0 1 0 0 0 RHS 8400 1/7 1/7 6/7 6/7 7/10 7 -4/700 3/700 3/700 -4/700 4/700 -3/700 -3/700 4/700 1 0 0 0 a) Construct a dual problem from initial Tableaux, b) What is the maximum allowable change in the returns from either venture fort he current solution to remain optimal? (Hint: Sensitivity for C. and C:) Initial Tablo 2 X X2 Si Sz Sz su CNY S S2 Sz Su Final Tobi 2 X X2 si Sz Sz Su 2 SA S2 X2

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