Comet Dry Cleaners specializes in same-day dry cleaning. Customers drop off their garments early in the morning and expect them to be ready for pickup on their way home from work. The risk is, however, that the work needed on garment cannot be done that day depending on the type of cleaning required. Historically, averages of 20 garments have had to be held over to the next day. The outs let's manager is contemplating expanding to reduce or eliminate that backlog. A simulation model was developed with the following distribution for garments per day:

With expansion, the maximum number of garments that could be dry cleaned per day is

in the simulation for a specific day, the number of garments needing cleaning (NGNC) is determined first, Next, the maximum number of garments that could be dry cleaned (MNGD) is determined. If MNGD ≥NGNC, all garments are dry cleaned for that day. If MNGD < NGNC, then (NGNC – MNGD) garments must be added to the number arriving the next day to obtain the NGNC for the next day. The simulation continues in this manner.

a. Assuming that the store is empty at the start, simulate 15 days of operation, use the following random numbers, the first determining the number of arrivals and the second setting the capacity;

(49, 77) , (27 , 53) (65 , 08) (83 , 12) (04 , 82) ,(58 , 44) (53 , 83) , (57 ,72) ,(32 , 53) (60 ,79) , (79 ,30) , (41 , 48) ,(97 , 86) ,(30 ,25) , (80 , 73)

Determine the average daily number of garments held overnight, based on your simulation.

b. If the cost associated with garments being held over expansion is $200 per day, is expansion a good idea?

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Number Random Numbers Probability 50 0.10 00-09 60 0.25 10-34 70 0.30 35-64 80 0.25 65-89 90 0.10 90-99