Question: Solve the following LP using the simplex method then answer the questions below. Show all workings, do not use excel. max z = 21 +

Solve the following LP using the simplex method then answer the questions below. Show all workings, do not use excel. max z = 21 + 62. Profit (R) s.t 21 + 2 10. Resource 1 1 4 Resource 2 1 + 22 6 Resource 3 1, 2 0 a) What is the dual price of each resource? b) What are the shadow prices of the three resources? c) If you could choose a resource to increase by one unit, which one would you choose? Why? d) Determine the intervals over which the cost coefficients could vary so that the current basis stays optimal. e) Determine the optimal solution if the cost coefficient of 4 (4) changes from 12 to 16. f) Determine how the right hand column could vary so that the current basis stays optimal. g) Determine the optimal solution if the first resource (b1) increases from 10 to 20

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