Solutions.+HW-1+OM+235++Fall+2023
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Biola University *
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Industrial Engineering
Date
Feb 20, 2024
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2
Uploaded by JudgeSkunkMaster365
Solutions Homework-1 OM 235 Fall 2023 Please place each of your answers inside the rectangular box that follows each question. Question 1. Onc of the chairlifts at a ski resort unloads 1,800 skiers per hour at the top of the slope. The ride on the lift takes 12 minutes. How many skiers on average are riding on the lift at any given time? 360 Average Inventory = (12 minutes)x(30 skiers/minute) = 360 skiers Question 2. Patients take a drug for acne for 6 months and there are 150,000 new patients ecach month. How many patients are taking this drug on average at any given time? 900,000 Average Inventory = (6 months)x(150,000 patients/month) = 900,000 patients Question 3 It takes 12 minutes to bake bread in an oven that can bake 840 units of bread simultancously. How many units of bread can the oven produce per hour? 4,200 Flow Rate = (840 units)/(12/60 hours) = 4,200 units/hour Question 4. There are on average 1,200 tourists in LaVilla, a popular resort in the Italian Alps. On average, skiers stay in LaVilla for 10 days. How many new tourists are arriving, on average, in LaVilla every day? 120 Flow Rate = (1,200 tourists)/(10 days) = 120 new tourists/day Question 5. Consider the check-in process of an airline. From 9 am to 10 am, 240 passengers checked in. The average number of passengers waiting to check in was 30. How long (in minutes) did the average passenger have to wait to check in? 7.5 Average Flow Time = (30 passengers)/(4 passengers/minute) = 7.5 minutes Question 6. A consulting company must hire 15 new associates per year to replace those who leave. The company employs 120 associates overall. How long (in years) is the average associate employed at the consulting company? 8 Average Flow Time = (120 associates)/(15 associates/year) = 8 years
Question 7: This question is based on the SCOR model Which of the following is NOT part of the SCOR model? 4 . Source . Plan . Make . Advertising . Deliver . Customer management . Support . New product development (NPD) ~NoOoOOOoghk, WN = Question 8: (a) At Chipotle’s on the Drag, there are 20 people in line in front of you waiting 15 \ for their burrito? A customer gets their burrito and leaves the line every ' 40 secs. What is the flow rate (throughput) in customers/minute? It takes 40/60 = .667 minutes/customer. Or. 1/.667 = 1.5 customers per minute (b) What is the average time in minutes it will take to start getting your burrito made? 13.33 FT =1/FR = 20Customers/ 1.5 customers/min = 13.33 minutes Question 9: There are approximately 16 M cars sold every year in the U.S. There are, on average, a total of 290 M registered cars in the U.S. as a whole. How long does the average car remain in service from the time it is sold to the time it goes to the junkyard (i.e. how long is its lifetime)? Answer in years. 18.125 290m/16m/year = 18.125 years
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