Consider a capital budgeting example with five projects from which to select. Let $=1$ if project $i$ is selected, $0$ if not, for $i=1,$dots,$5.$

Write the appropriate constraint$($s$)$ for each condition. Conditions are independent.

a$.$ Projects cost $200,400,250,75,$ and $300$ respectively. The budget is $1100.$

b$.$ Choose no more than three projects.

c$.$ If project $3$ is chosen, project $2$ must not be chosen.

d$.$ If project $2$ is chosen, project $4$ must be chosen.

e$.$ No fewer than two of projects $1,2,$ and $3$ must be chosen.