Our company is considering undertaking some projects. We have defined a model with decision variables X$1,$ X$2,$ X$3,$ X$4,...$ for the projects and have put in an optimization model.

$**$Please choose one answer for each blank. for example, $($blank$1)$ has choices a$,$b$,$c$,$and d

A$.$ The company cannot undertake all of X$1,$ X$2,$ and X$3$ together.

X$1($blank $1)$ X$2($blank $2)$ X$3($blank $3)($blank $4)$

Choices for the first blank: a$)+$ b$)-$ c$)*$ d$)/$

Choices for the second blank: a$)+$ b$)-$ c$)*$ d$)/$

Choices for the third blank: a$)>=$ b$)<=$ c$)=$ d$)<$ e$)>$ f$)!=$

Choices for the fourth blank: a$)0$ b$)-1$ c$)1$ d$)2$

B$.$ If the company undertakes X$5,$ it cannot undertake more than two of X$1,$ X$2,$ X$3,$ or X$4.$

X$1($blank$1)$ X$2($blank$2)$ X$3($blank$3)$ X$4($blank$4)($blank$5)($blank$6)($blank$7)($blank$8)$ X$5$

Choices for the first blank: a$)+$ b$)-$ c$)*$ d$)/$

Choices for the second blank: a$)+$ b$)-$ c$)*$ d$)/$

Choices for the third blank: a$)+$ b$)-$ c$)*$ d$)/$

Choices for the fourth blank: a$)>=$ b$)<=$ c$)=$ d$)>$ e$)<$

Choices for the fifth blank: a$)-1$ b$)0$ c$)0\mathrm{.}5$ d$)1$ e$)2$ f$)3$ g$)4$

Choices for the sixth blank: a$)+$ b$)-$ c$)*$ d$)/$

Choices for the seventh blank: a$)0$ b$)0\mathrm{.}5$ c$)1$ d$)2$ e$)3$ f$)4$

Choices for the eighth blank: a$)+$ b$)-$ c$)*$ d$)/$

C$.$ If we undertake project $6,$ we need to have at least $2$ million dollars in a checking account. The amount in the checking account is a decision variable L$6.$

L$6($blank$1)2000000($blank$2)$ X$6$

Choices for the first blank: a$)>=$ b$)<=$ c$)=$

Choices for the second blank: a$)+$ b$)-$ c$)*$ d$)/$