The Texas Consolidated Electronics Company is considering an R&D program encompassing eight research projects. In the model for this problem x$\_($i$)$ is a $0-1$ variable for the selection of project i $,$ where i$=1$ to $8.$ he of the conditions in the model for this problem is project $2$ or project $5$ may be selected but both cannot be selected. That is$,$ one of the projects can be selected or neither of them can be selected. This condition is represented by the following constraint:The Texas Consolidated Electronics Company is considering an R&D program encompassing

eight research projects.

In the model for this problem $x_i$ is a $0-1$ variable for the selection of project $i,$ where $i=1$ to

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 $x_2$ and $x_5$ to represent this updated condition.

Leave the other constraints $($budget and personnel$)$ the same. Then answer the following

question.

Which projects are selected?

Project $1$

Project $2$

Project $3$

Project $4$

Project $5$

Project $6$

Project $7$

Project $8$

Question $2$

This is a modification of homework problem $14$ in chapter $5.$

The Texas Consolidated Electronics Company is considering an R&D program encompassing

eight research projects.

In the model for this problem $x_i$ is a $0-1$ variable for the selection of project $i,$ where $i=1$ to

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 $x_2$ and $x_5$ 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?