Question: 1. Illustrate sensitivity analysis using simplex method to solve the following LPP: Maximize Z=20x1+10x2 Subject to, x1+x23 3x1+x27 And x1, x2 0 2. Define

1. Illustrate sensitivity analysis using simplex method to solve the following LPP: Maximize Z=20x1+10x2 Subject to, x1+x23 3x1+x27 And x1, x2 0 2. Define network problems, minimum spanning tree, and shortest path. 3. Clearly explain the network problem algorithm. Use examples where necessary. 4. With the help of examples explain how CPM and PERT can be used to solve network problems. 5. With the help of clear LPP show the various interior point methods that can be used to solve linear programming problems. NOTE: 1. You may also wish to solve the problems using r software.

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