Homework #10 Solutions

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Texas A&M University *

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301

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Accounting

Date

Feb 20, 2024

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pdf

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4

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AGSM 301 Homework #10 Solutions 1) (20 points) Each column is worth (5 pts.) excluding systems. System Servers Queue Popul. Hair Salon Multi FIFO/apt. Fin./Infin. Bank Multi FIFO infinite Laundromat Multi FIFO Infinite Doctor's Office Single Appt. Finite Adviser's Office Single FIFO/appt Finite Airport Runway Single FIFO Finite High-End Restaurant Multi Apt. Infinite Copy Center Single FIFO Infinite Team Trainer Single FIFO/apt. Finite Mainframe Computer Multi FIFO Infinite 2) (15 pts.) 1 pt. for each answer, 2pts for missing U. λ = 19 μ = 26 3) (5 points) 3 points for correct answer, (the second drive-up window should be installed), 2 points for work. Po = 0.27 P3 = 0.11 L = 2.71 Lq = 1.98 W = .14 hr .10 hr 8.4 min Wq = 6 min U = 0.73
4) (5 points) 2.5 points for a and b. Construct an opportunity loss table. -2 pts if EOL table is incorrect and missing EOL. a. EOL (umbrellas) = 0(.55) +200(.20) +2400(.25)=640 EOL (sun visors) = 2300(.55)+0+0 = 1265 b. EV (umbrellas)=500(.55)-200(.20) -400(.25)= 685 EV (sun visors) = -800(.55) +0+2000(.25) = 60 Choose Umbrellas 5) (15 points) 1 point for yes or no, 2 points for Wq, λ = 12 per hr. μ= 15 per hr. a) No, W q = 16 minutes b) Yes, μ= 24 and W q = 0.042 = 2.5 minutes c) N o, λ= 20 per hr ., μ= 24 and W q = 0.208 =12.5 minutes 6.) (15 points) 1 point each, 5 points for λ = 5 per hour &
μ = 6 per hour W = 1 hr. W = .20 hr. or 12 min Wq = .0.83 hr. or 50 min Wq = .03 hr. or 2.04 min Pw = 5/6 = 0.83 Pw = 0.24 7.) (15 points) 2 points each, -4 pts. if mu and lambda is flopped. 8.) (5 points) 1 point for Po, L, Lq, 3 points for the answer for if there should be another press. a. b. c = 2 P 0 = .17 P 0 = .41 L = 5 customers L = 1.01 customers Lq = 4.17 customers Lq = .17 customers
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9.) (5 points) 1 points for Po, L, Lq, Wq, and the answer for if there should be another press λ= 500/hr. μ= 200/hr. c= 3 𝑃 𝐿 𝐿 𝑞 𝑊 𝑞 No, another wrapper is not needed