$$a$)$ Using the FCFS$($first come, first served$)$ decision rule for sequencing the$$ jobs, the order is$($assume that jobs came in the order in which they are listed in the$$ table$)$:

Part $2$Part $3$Part $4$Part $5$

Sequence

Job

$1$

A

$2$

B

$3$

C

$4$

D

$5$

E

Part $6$

The average tardiness$($job lateness$)$ for the sequence developed using the FCFS rule$=$

$$

$16\mathrm{.}40$ days $($round your response to two decimal$$ places$).$

Part $7$

The percentage utilization for the sequence developed using the FCFS rule$=$

$$

$26\mathrm{.}77\%($enter your response as a percentage rounded to two decimal$$ places$).$

Part $8$

$$b$)$ Using the EDD$($earliest due$$ date$)$ decision rule for sequencing the$$ jobs, the order is$($to resolve a$$ tie, use the order in which the jobs were$$ received$)$:

Sequence

Job

$1$

$$

$.$

$.$

$.$

Question content area right

Part $1$

The following jobs are waiting to be processed at the same machine center. Jobs are logged as they$$ arrive:

$$

Job

Due Date

Duration$($days$)$

Upper A

$312$

$16$

Upper B

$325$

$40$

Upper C

$314$

$5$

Upper D

$315$

$3$

Upper E

$313$

$8$

All dates are specified as manufacturing planning calendar days. Assume that all jobs arrive on day $275.$ Assume each job starts at the beginning of the day and finishes at the end of the day$($a job that begins on day $275$ and takes $8$ days will finish on day$282,$ and the next job begins in the morning of day$283).$ Compute all times based on initiating work on day $275.$