Q$1.$ Assume that the processing times for a set of jobs are as listed in the following table and that the jobs are processed in the sequence ABCDE. What is the value of the makespan?

Job : A

Processing time in work center $1($in hours$)$ : $5$

Job : B

Processing time in work center $1($in hours$)$ : $8$

Job : C

Processing time in work center $1($in hours$)$ : $10$

Job : D

Processing time in work center $1($in hours$)$ : $20$

Job : E

Processing time in work center $1($in hours$)$ : $14$

$\_\_\_\_\_\_\_$

Job : A

Processing time in work center $2($in hours$)$ : $6$

Job : B

Processing time in work center $2($in hours$)$ : $9$

Job : C

Processing time in work center $2($in hours$)$ : $32$

Job : D

Processing time in work center $2($in hours$)$ : $12$

Job : E

Processing time in work center $2($in hours$)$ : $7$

Which one is the correct answer $?$ Please explain in detail.

A$.74$ hours

B$.71$ hours

C$.78$ hours

D$.85$ hours

E$.57$ hours

Q$2.$ For the jobs listed below, which processing sequence would minimize makespan?

Job : T

Processing time in work center $1($in hours$)$ : $6$

Job : U

Processing time in work center $1($in hours$)$ : $8$

Job : V

Processing time in work center $1($in hours$)$ : $4$

Job : W

Processing time in work center $1($in hours$)$ : $10$

Job : X

Processing time in work center $1($in hours$)$ : $8$

$\_\_\_\_\_\_\_$

Job : T

Processing time in work center $2($in hours$)$ : $11$

Job : U

Processing time in work center $2($in hours$)$ : $7$

Job : V

Processing time in work center $2($in hours$)$ : $9$

Job : W

Processing time in work center $2($in hours$)$ : $5$

Job : X

Processing time in work center $2($in hours$)$ : $12$

Which one is the correct answer $?$ Please explain in details.

A$.$ TUVWX

B$.$ VTXUW

C$.$ XWTUV

D$.$ TUXWV

E$.$ XWVUT

Q$3.$ The information about six jobs is provided in the following table: If you were to sequence these jobs according to the shortest process time, what would be the average work$-$in$-$process inventory?

Job description : A

Processing time $($days$)$ : $6$

Due date : $17$

Job description : B

Processing time $($days$)$ : $3$

Due date : $9$

Job description : C

Processing time $($days$)$ : $4$

Due date : $6$

Job description : D

Processing time $($days$)$ : $11$

Due date : $18$

Job description : E

Processing time $($days$)$ : $9$

Due date : $12$

Job description : F

Processing time $($days$)$ : $7$

Due date : $11$

Which one is the correct answer $?$ Please explain in detail.

A$.4$

B$.2\mathrm{.}8$

C$.2$

D$.11\mathrm{.}2$

E$.6$