********Answer all parts or don't answer. if not ill report you remember that.

You are about to travel to US to purchase and import luxury small items to Barranquilla to sell them on Instagram. Based on your previous knowledge you are considering bringing bottles of parfum (x1), makeup items (x2), clothes items (23), babies items (34), or jewelry items (25). You are set to travel with 4 suitcases of capacity 105.000cm3 and 25 kilos, each. You have researched these type of products and you have computed an estimate of the average weight and volume of them, so that you were able to set constraints for volume and weight. Additionally, legislation applies for those imported items at different rates that you have previously researched and you used them to build another cons- traint. You auto imposed a limit of 400 dollars to pay in taxes to avoid additional paperwork with the customs agencies. Finally, you only have 5000 dollars to invest in the purchases. Again you have an estimate of the average price of each type of item and you set a constraint for this. Each type of item might give you a margin (in dollars) that you estimated to set the objective function to be the total profit. The mathematical model to decide about the optimal items to import is given here: Max Z = s.t. 550x1 + 25x2 + 30x3 + 20x4 + 80X5 3000x1 + 675x2 + 6000x3 + 4000x4 + 1000x5 0, i = 1, 2, 3, 4, 5 (a) (0.3) Provide a detailed description of the solution gi- ven in the optimal tableau for the primal problem. (b) (0.3) List the dual variables to this primal problem and give a complete explanation of each one (c) (0.3) Write the dual problem to this primal problem. (d) (0.7) Compute its optimal solution (dual's optimal ta- bleau) and provide a detailed description of this opti- mal solution and its meaning. (e) (0.3) If someone asks you to transport one item of a different kind and to pay based on the volume (cm3), at what price would you start negotiating? (f) (0.3) If someone asks you to transport one item of a different kind and to pay based on the weight (kilos), at what price would you start negotiating? You are about to travel to US to purchase and import luxury small items to Barranquilla to sell them on Instagram. Based on your previous knowledge you are considering bringing bottles of parfum (x1), makeup items (x2), clothes items (23), babies items (34), or jewelry items (25). You are set to travel with 4 suitcases of capacity 105.000cm3 and 25 kilos, each. You have researched these type of products and you have computed an estimate of the average weight and volume of them, so that you were able to set constraints for volume and weight. Additionally, legislation applies for those imported items at different rates that you have previously researched and you used them to build another cons- traint. You auto imposed a limit of 400 dollars to pay in taxes to avoid additional paperwork with the customs agencies. Finally, you only have 5000 dollars to invest in the purchases. Again you have an estimate of the average price of each type of item and you set a constraint for this. Each type of item might give you a margin (in dollars) that you estimated to set the objective function to be the total profit. The mathematical model to decide about the optimal items to import is given here: Max Z = s.t. 550x1 + 25x2 + 30x3 + 20x4 + 80X5 3000x1 + 675x2 + 6000x3 + 4000x4 + 1000x5 0, i = 1, 2, 3, 4, 5 (a) (0.3) Provide a detailed description of the solution gi- ven in the optimal tableau for the primal problem. (b) (0.3) List the dual variables to this primal problem and give a complete explanation of each one (c) (0.3) Write the dual problem to this primal problem. (d) (0.7) Compute its optimal solution (dual's optimal ta- bleau) and provide a detailed description of this opti- mal solution and its meaning. (e) (0.3) If someone asks you to transport one item of a different kind and to pay based on the volume (cm3), at what price would you start negotiating? (f) (0.3) If someone asks you to transport one item of a different kind and to pay based on the weight (kilos), at what price would you start negotiating