The Texas Consolidated Electronics Company is considering an R&D program encompassing eight research projects. In the model for this problem X; is a 0-1 variable for the selection of project i, where i = 1 to 8. One of the conditions in the modified model for this problem is that either project 2 or project 5 must be selected but not both of them. So, modify the constraint on decision variables X2 and X5 to represent this updated condition. Leave the other constraints (budget and personnel) the same. Then answer the following question. Which projects are selected? The Texas Consolidated Electronics Company is considering an R&D program encompassing eight research projects. In the model for this problem X; is a 0-1 variable for the selection of project i, where i = 1 to 8. One of the conditions in the modified model is that the same decision be applied to project 2 and project 5. If project 2 is selected then project 5 is selected. And if project 2 is not selected then project 5 is not selected. So, modify the constraint on decision variables x2 and x5 to represent this updated condition. Leave the other constraints (budget and personnel) the same. Then answer the following question. What is the value of the objective function for the updated solution? The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects ($300,000). Project Expense ($1,000s) 1 $ 60 2 110 3 53 Management Scientists Required Estimated Profit ($1,000,000s) 7 00 8 4 47 4 st 5 92 7 6 85 6 7 73 8 8 65 5 10 $0.36 0.82 0.29 0.16 0.56 0.61 0.48 0.41