Course name : optimization methods

Let's consider the following model to the right:

max 2x1 + 2x2 2x3 3x1 x2 +2x3 13 x1 + 2x2 + x3 4 x1,x2,x3 0

1- Write the dual model. 2- Write down all the supplementary slack conditions. 3- Build and solve the model in Excel Solver. Upload the relevant excel file to stix with your answers.

Answer the following questions based on the solvent sensitivity output: a- What would your profit/loss be if you bought an additional resource 2 for $2.5? Based on your answer, would you buy this additional resource? Briefly explain the reason for your answer. b- How much will the optimal objective value be affected if we make x2 = 2 in the model? c- If we increase the objective coefficient of x3 from -2 to 3, does the optimal solution change? Briefly explain the reason for your answer.