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First Printing and Copy Center has 4 more jobs to be scheduled, in addition to those shown in Example 3 in the chapter. Production scheduling personnel are reviewing the Gantt chart at the end of day 4.

â—† Job D was scheduled to begin early on day 2 and to end on the middle of day 9. As of now (the review point after day 4), it is 2 days ahead of schedule.

â—† Job E should begin on day 1 and end on day 3. It is on time.

◆ Job F was to begin on day 3, but maintenance forced a delay of 1½ days. The job should now take 5 full days. It is now on schedule.

â—† Job G is a day behind schedule. It started at the beginning of day 2 and should require 6 days to complete.

Develop a Gantt schedule chart for First Printing and Copy Center.

Example 3

 
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The Baton Rouge Police Department has five detective squads available for assignment to five open crime cases. The chief of detectives, Jose Noguera, wishes to assign the squads so that the total time to conclude the cases is minimized. The average number of days, based on past performance, for each squad to complete each case is as follows:

Each squad is composed of different types of specialists, and whereas one squad may be very effective in certain types of cases, it may be almost useless in others.

a) Solve the problem by using the assignment method.

b) Assign the squads to the above cases, but with the constraint that squad 5 cannot work on case E because of a conflict.

 
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Tigers Sports Club has to select four separate co-ed doubles teams to participate in an inter-club table tennis tournament. The pre-selection results in the selection of a group of four men—Raul, Jack, Gray, and Ajay—and four women—Barbara, Dona, Stella, and Jackie. Now, the task ahead lies in pairing these men and women in the best fashion. The table below shows a matrix that has been designed for this purpose, indicating how each of the men complements the game of each of the women. A higher score indicates a higher degree of compatibility in the games of the two individuals concerned. Find the best pairs.

 
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Kansas Kate finds herself with a field of irrigated winter wheat that was planted at the end of this past summer with a defective drill. Normally she would expect an 85 bushel per acre yield on this crop. Upon a recent mid-fall inspection, Kate concludes that the field would likely yield only 45 bushels per acre when harvested next summer. To get this yield she will need to still apply an additional $12/ac of fertilizer next spring and the cost of harvesting the crop in the summer would be $28 per acre. She is contemplating instead plowing the crop under next March and replanting with milo which would be expected to yield 42 cwt per acre. If she were to replace the wheat with milo, beyond the $58/ac that she already invested this past summer in preparing to plant the wheat, Kate would incur additional expenses of $16/ac for machine and labor expenses for tillage and planting, $33/ac for seed and fertilizer, and $35/ac for harvesting. At harvest, Kate expects the price of wheat to be $7.20/bu and milo to be $9.00/cwt. What should Kate do and why? (Answer using the appropriate analytic tool being sure to label it appropriately and document your calculations)
 
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