A Northern British Columbia lumberyard has four jobs on order, as shown in the following table. Today is day $205$ on the yard's schedule.

The first day the task arrives is the first day that the job is being done.

In what sequence would the jobs be ranked according to the following decision rules:

a$)$ FCFS

b$)$ SPT

c$)$ LPT

d$)$ EDD

e$)$ Critical ratio

Which is best and why? Which has the minimum lateness?

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$)$:

The average tardiness $($job lateness$)$ for the sequence developed using the FCFS rule is days $($round your response to two decimal places$).$

The average completion time for the sequence developed using the FCFS rule is days $($round your response to two decimal places$).$

The percentage utilization for the sequence developed using the FCFS rule is $\%($enter your response as a percentage rounded to two decimal places$).$

b$)$ Using the SPT$($shortest processing$$ time$)$ decision rule for sequencing the$$ jobs, the order is$($to resolve a$$ tie, use the order in which the jobs were$$ recieved.

The average tardiness$($job lateness$)$ for the sequence developed using the SPT rule is

$$

enter your response here days $($round your response to two decimal$$ places$).$

Part $14$

The average completion time for the sequence developed using the SPT rule is

$$

enterour response here days $($round your response to two decimal$$ places$).$

The percentage utilization for the sequence developed using the SPT rule is $\_\_\_\_\_$ enter your response here$\%($enter your response as a percentage rounded to two decimal$$ places$).$

$$c$)$ Using the LPT$($longest processing$$ time$)$ decision rule for sequencing the$$ jobs, the order is$($to resolve a$$ tie, use the order in which the jobs were$$ received$)$:

Part $17$Part $18$Part $19$

Sequence

Job

$1$

$$

A

B

C

D

$2$

$$

C

D

B

A

$3$

$$

C

D

A

B

$4$

$$

D

A

B

C

Part $20$

The average tardiness$($job lateness$)$ for the sequence developed using the LPT rule is

$$

enter your response here days $($round your response to two decimal$$ places$).$

Part $21$

The average completion time for the sequence developed using the LPT rule is

$$

enter your response here days $($round your response to two decimal$$ places$).$

Part $22$

The percentage utilization for the sequence developed using the LPT rule is

$$

enter your response here$\%($enter your response as a percentage rounded to two decimal$$ places$).$

Part $23$

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

Part $24$Part $25$Part $26$

Sequence

Job

$1$

$$

D

A

C

B

$2$

$$

A

C

B

D

$3$

$$

C

B

A

D

$4$

$$

D

A

C

B

Part $27$

The average tardiness$($job lateness$)$ for the sequence developed using the EDD rule is

$$

enter your response here days $($round your response to two decimal$$ places$).$

Part $28$

The average completion time for the sequence developed using the EDD rule is

$$

enter your response here days $($round your response to two decimal$$ places$).$

Part $29$

The percentage utilization for the sequence developed using the EDD rule is

$$

enter your response here$\%($enter your response as a percentage rounded to two decimal$$ places$).$

Part $30$

$$e$)$ Using the Critical Ratio$($CR$)$ scheduling rule for sequencing the$$ jobs, the order$$ is:

Part $31$Part $32$Part $33$

Sequence

Job

$1$

$$

D

A

C

B

$2$

$$

D

C

A

B

$3$

$$

B

A

C

D

$4$

$$

A

C

D

B

Part $34$

The average tardiness$($job lateness$)$ for the sequence developed using the CR rule is

$$

enter your response here days $($round your response to two decimal$$ places$).$

Part $35$

The average completion time for the sequence developed using the CR rule is

$$

enter your response here days $($round your response to two decimal$$ places$).$

Part $36$

The percentage utilization for the sequence developed using the CR rule is

$$

enter your response here$\%($enter your response as a percentage rounded to two decimal$$ places$).$