Question 1: There is a production planning problem called Dovetail: Match manufacturer. After solving the model, use the optimal values for x1 and x2 to confirm that each constraint is satisfied. Doing this calculation.

Question 2: We choose to buy additional wood for $100 per cubic meter. Update the optimization model to include this new option, solve the model, with the revised model and the optimal objective value and decision values of x1, x2, and x3 for the modified problem.

Question 3: After returning the model back to the default (by hitting refresh, don't forget to save your work first in your submission), there are 4 constraints. Two of these constraints can be removed without impacting the optimal solution or the optimal decisions. Which constraints are they? Why don't they change the optimal solution?

Question 4: Someone tells you that they have an optimization problem and they tried to use Excel Solver to find the optimal solution and got an error. What are some of the reasons they might be having problems? Give at least 3 possible explanations.