The following questions were posed to the venture capital firm Binary Capital $($whose

motto is "We're the Either$/$Or Investors"$)$ when they were faced with six potential capital

budgeting projects. Be sure to supply all specific constraint$($s$)$ on your variables $x_1,x_2,x_3,$

$x_4,x_5,x_6,$ respectively, in each of the separate situations give below.

Use the minimum possible number of constraints, in each situation.

Supply only the constraint$($s$)$ requested, in canonical form.

a$)$ Model a situation where two of the following projects $1,3,5,$ and $6$ must be undertaken.

b$)$ Model a situation in which projects $3$ and $5$ must be undertaken simultaneously.

c$)$ Model a situation in which project $1$ or project $4$ must be undertaken, but not both.

d$)$ Model a situation where project $4$ cannot be undertaken unless projects $1$ and $3$ also

are undertaken.

e$)$ Revise the requirement in part d$)$ to include the case where, when projects $1$ and $3$ are

undertaken, project $4$ also must be undertaken.