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Consider the following LP with 2 products and 2 resources, the given table is its optimal tableau (where s1,s2 are the starting basic variables). Use Sensitivity and post-optimal analysis to answer the next questions. In each question, go back to the original model and its optimal table. MaxZ=x1+3x2s.t.x1+x242x1+3x2x1,x260 1. If a new constraint is added to the model x1+2x23, what will be the new optimal solution? 2. If a new product is suggested to the model, which consumes 2 units and 3 units from the first and second resources. respectively, to produce one unit. Price out this product? 3. In the previous question, if the profit of the suggested product is 4 , what will be the new optimal solution? 4. Find the individual optimal range of the objective coefficients of x1 and x2 ? 5. Find the individual feasible range of the first and second RHS? 6. If the profit of first product is increased to 3 , what will be the new optimal solution? 7. If the profit of first product is decreased to 0.5, what will be the new optimal solution? 8. If the profit of the second product is decreased to 1, what will be the new optimal solution? 9. If the objective function becomes MaxZ=2x1+2x2 what will be the new optimal solution? 10. If the availability of first resource (first RHS) is decreased to 1, what will be the new optimal solution? 11. If the availability of first resource (first RHS) is increased to 6, what will be the new optimal solution? 12. If the availability of second resource (first RHS) is increased to 15 , what will be the new optimal solution? 13. If a supplier offers extra units from the first resource with cost of 2 per unit, should the company buy these extra units, why, why not? 14. If a supplier offers extra units from the second resource with cost of 0.5 per unit, should the company buy these extra units, why, why not? 15. If a supplier offers extra units from the second resource with cost of 0.5 per unit, and the company bought 2 units, what will be the new optimal z value