Question

Carlos's R dr Serias reste es ario e partings The process corssts of three stops Each of those steps must be completed prior ๒ moving ontothenext step Frter om Caros an wo* on only one ob at a time at each step. Carloa's has lour jobs wating ko be sdarlod. dormafion on these jobs, shown in the onder in which they arfied, is contained in the table below. Detormine the bet quane r tour jobs, based on the orntical nato ula. ir Caloa's uses the ortical rutio rule to sequence the jobs, will they all be done on time? Click the icon to view the job requinements for Carlos's nestoration servioes The CR sequence is Chester College-High Musoum Smith Uplown Gallery Carlos's usos the ortical ratio rule to sequence the jobs, they wont be done on time The average job lateness under the CR ule is days (Enter your response rounded to two decimal places) ter your anwer in the nwer bx and then ck Check Answer nsists of three steps. Each of these steps must be completed prior to moving on to the next step. Furthem hown in the order in which they arrived, is contained in the table below. Determine the best sequence for fo services. Uptown Gallery More Info Estimated Days Total Task Time Days until Due Step 2 6.0 5.5 3.5 5.0 Job Step 1 Step 3 Uptown Gallery 4.5 3.0 Chester College 5.0 2.5 4.5 1.5 8.0 14.5 13.0 10.0 15.5 25 20 15 24 High Museum Smith Print Done wer. Clear Ai

Answer 1

Initial critical ratio at Day 0

Critical Ratio = (Due Date-Date Now)/Processing time

Activity	Total Task Time	Days Until Due	Critical Ratio
Uptown Gallery	14.5	25	(25-0)/14.5 = 1.72414
High Museum	13	20	(20-0)/13 = 1.53846
Chester College	10	15	(15-0)/10 = 1.5 (Lowest)
Smith	15.5	24	(24-0)/15.5 = 1.54839

As Lowest CR is for Chester College, It would be scheduled first

When Chester college activity is completed, The critical ratios at day 0+10 = 10

Activity	Total Task Time	Days Until Due	Critical Ratio
Uptown Gallery	14.5	25	(25-10)/14.5 = 1.0344
High Museum	13	20	(20-10)/13 = 0.7692(Lowest)
Chester College
Smith	15.5	24	(24-10)/15.5 = 0.9032

So, High Museum will be scheduled next

When High Museum activity is completed, The critical ratios at day 10+13 = 23

Activity	Total Task Time	Days Until Due	Critical Ratio
Uptown Gallery	14.5	25	(25-23)/14.5 = 0.1379
High Museum
Chester College
Smith	15.5	24	(24-23)/15.5 = 0.06451(Lowest)

So smith will be scheduled 3^rd and Uptown Gallery would be scheduled last

CR Sequence

Sequence	1	2	3	4
Jobs	Chester College	High Museum	Smith	Uptown Gallery

Activity	Total Task Time	Days Until Due	Flow Time	Lateness
Chester College	10	15	10	0
High Museum	13	20	23	3
Smith	15.5	24	38.5	14.5
Uptown Gallery	14.5	25	53	28
Total			124.5	45.5
Mean				11.375

Lateness = Flow time - Days until Due if Flow time is greater than Days until due or else Lateness is 0 if Flow time is less than days until due

Mean Lateness = Total lateness/Number of jobs

The average Job lateness under CR rule is 11.375 days (Ans)Using the critical ratio rule to sequence the Jobs we can see they won't be done on time