Question $2$

$4\mathrm{.}5$ pts

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

The Texas Consolidated Flectronics Company is eonsidering an RED program encompassing elght 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 $8.$

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 declaion variables $x_2$ and $x_3$ to represent this updated condition. Leave the other constraints $($budget and personnel$)$ the same. Then answer the following question.

Which projects are selected?

Project $1$

Prefert?

Project $3$

Project $4$

Prefect $5$

Project $6$

Anslect?

Project $8$