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Rutgers - BEN-ISRAEL - 386
An illustration of the Central Limit TheoremWe generate 100 independent RV's in D17:D116, simulate their sum in D118, and compare its distribution with the "corresponding" normal distribution. Each RV is uniformly distributed on [0,a] where the a's
Rutgers - BEN-ISRAEL - 386
11666600.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15A Classic 3-Door "Paradox" Door with car Door we pick at first Door Has car Is the door we picked Is a door Monty can show Random value Shown by Monty Door we would switch to Get car if don't switch
Rutgers - BEN-ISRAEL - 386
PROJECT DURATIONA project has 8 activities, see diagram below. The activity durations are random, with triangular distribution and Min, Mode, Max as given. Simulate: (a) The project duration (b) For each path, the probability that it is critical.A
Rutgers - BEN-ISRAEL - 386
A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25BCDEPower SupplyCost per kWh Selling price per kWh Startup Cost ($1000's) Capacity (MW) Expected Municipal Demand (MW) Standard Deviation of Municipal Demand (MW) Minimum I
Rutgers - BEN-ISRAEL - 386
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17A Insurance Reserve Capital ProblemBCDE1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17A B Insurance Reserve Capital ProblemCDEYASAI Simulation Output Workbook Sheet Start Date Start Time Run Ti
Rutgers - BEN-ISRAEL - 386
11527204.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18A B Inventory Simulation Mean demand Fixed order cost Unit cost Sales price Holding cost Salvage value Beginning inventory Reorder point Reorder quantityCDEFGHIJ400 $600 $1
Rutgers - BEN-ISRAEL - 386
11666558.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82
Rutgers - BEN-ISRAEL - 386
11527142.xlsA B C D E F 1 Westland Wranglers 2 Average Horses Captured per Day 4 3 Average Sales Demand per Day 4.1 4 Sales Price Per Horse $150.00 5 "Salvage" Value of Horses in Corral at End $130.00 6 Cost per Day of Keeping Horse in Corral $8.00
Rutgers - BEN-ISRAEL - 386
11666561.xlsA B C D E F G H I J 1 Truck Service Facility Expansion 2 Average arrival rate 3.8 Daily Operation Cost $425 per occupied bay per day 3 4 Number of Bays #NAME? 5 6 7 8 5 Incremental Daily Cost #NAME? $175 $325 $475 6 7 First Second Third
Rutgers - BEN-ISRAEL - 386
The St Petersburg ParadoxTwo players A & B, and a coin The coin gives H with probability in Cell B12 The coin is tossed until first H appears If this happens in Trial n, B pays A the amount 2^(n-1) To make the game fair, A pays B the value of the ga
Rutgers - BEN-ISRAEL - 386
BUFFON'S NEEDLE PROBLEMA needle of length L = #NAME? is dropped on equally spaced parallel lines a distance D = 1 apart. The probability that the needle will cross a line is 2 L / Pi D This formula makes sense fo L< Pi D/2 for otherwise it gives val
Rutgers - BEN-ISRAEL - 386
The Birthday ProblemAssume that birthday are equally likely on any day of the year. Given a random sample of n people what is the probability of at least one common birthday? How large must n be, in order that the probability of a common birthday wi
Rutgers - BEN-ISRAEL - 386
Simulation of PiyThe area of the unit circle is Pi A point in a square of side 2 is generated at random. The coordinates of the point are in K11:L11 Is the point in the unit circle? YES =1, NO = 0, in M11 The mean of M11, sample = 10^5, is in OUTP
Rutgers - BEN-ISRAEL - 386
A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102B
Rutgers - BEN-ISRAEL - 386
11666632.xlsA 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 120 121 122 123BCDEFGBelt Replacement Simulation Scheduled Replace Cost Min Emergency Replace Cost Max Emergency Replace Cost $450 $1,000 $2,000Day o
Rutgers - BEN-ISRAEL - 386
11666566.xlsA B C D E F G H 1 Discrete Event Queueing Simulation 2 3 Server Server 4 Arrival Rate 1 1 2 Average Number #NAME? Min Service #NAME? 0.4 0.3 Average Wait #NAME? 5 Max Service #NAME? 1.4 1.1 6 7 8 Time Limit 120 9 10 15 11 12 13 14 15 10
Rutgers - BEN-ISRAEL - 386
Rutgers University, Business School/Undergraduate New Brunswick Operations Management (33:623:386:03) Spring 2008; Instructor: Adi Ben-IsraelMidterm Exam February 20, 2008You have 80 minutes to complete this examination. The exam has 6 pages. Ple
Rutgers - BEN-ISRAEL - 386
OPERATIONS MANAGEMENT 33:623:386:03,10MIDTERM EXAM # 2 MARCH 31, 2008SOLUTION OF PROBLEM 1Variables T =project duration, For activity X (X = A, , G) tX = the earliest time activity X can be started, yX = the number of days to crash from X, X
Rutgers - BEN-ISRAEL - 386
Rutgers University, Business School/Undergraduate New Brunswick Operations Management (33:623:386:03) Spring 2008; Instructor: Adi Ben-IsraelHourly Exam 3 April 23, 2008You have 80 minutes to complete this examination. The exam has 12 pages (the
Rutgers - BEN-ISRAEL - 386
Question 2: Yasai SpreadsheetA 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34BCDEFGHIJQuestion 1Mean No. of Visitors Probability that a visitor is a buyer Probability that a buyer w
Rutgers - BEN-ISRAEL - 386
A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 36 37 38 39 40 41BCDEFGHIJProblem 2: Financial PlanningInitial Funds Annual Return Min Max Withdrawal Scenarios Safe Assets Risky Assets $800,000 $450,000 Total
Rutgers - BEN-ISRAEL - 386
Q1Cost per lbFood 1 $7 Food 1 3 1 0 $12Food 2 $1 Food 2 Obtained 1 12 1 12 12 Required 12 6Vitamin A Vitamin C Purchased Total cost>= >=Q2 Profit per acre Wheat $200 Resource usage Wheat Labor 3 Fertilizer 2 Corn $300Corn 2 4Used 100
Rutgers - BEN-ISRAEL - 386
Rutgers - BEN-ISRAEL - 386
11666578.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28A Dairy ProblemBCDEFLaborPasteurize Raw Milk 0Activities Separate Whole Milk 0.01 Activities Separate Whole Milk -1 0.8 0.2 0 $0.20 10000 6666.6
Rutgers - BEN-ISRAEL - 386
11666630.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25A Molecular ProductsBCDEFGHLaborActivities Turn A into Turn C Into B and C B and D 3 1Limit 200B C D Direct Unit Cost Amount of ActivityActivitie
Rutgers - BEN-ISRAEL - 386
11666657.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21A B C Multi-Period Production Problem Unit Production Cost $23.85 $24.25 $24.90 $25.15 $24.35 $23.75DEFGMonth 1 2 3 4 5 6Demand 1050 1200 1400 1175 850 1100Initial Inv
Rutgers - BEN-ISRAEL - 386
max 5A + 4B + 25x3 [6x1 + 3x2 + 5x3 ] ST A = 2x1 + x2 2x3 B = 3x1 + 2x2 3x3 8A + 7B + 6x3 7(A + B + x3 ) x 1 , x2 0 0 x3 20 0 A 30 0 B 20 For symmetry, we could also include C, dened to be the units of product C sold, but of course that wo
Rutgers - BEN-ISRAEL - 386
11666651.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26A B Eli Daisy Problem Purchasing price/oz C1 $6 C2 $4 Selling price/oz D1 $6CDEFGD2 $5Blending plan (oz of each chemical used in each drug) D1 D2 Total
Rutgers - BEN-ISRAEL - 386
11666584.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21A Bexter Labs ProblemBC D E Average Quality Requirement Activities Process Raw Material 1 1 2 0 $3.00 0 Unit Selling Price $5.00 $4.00 $25.00F 7GProduct A Product B Produc
Rutgers - BEN-ISRAEL - 386
11666647.xlsA 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 SunCo OilBCDEFGHThe changing cells are the barrels of
Rutgers - BEN-ISRAEL - 386
into the cutlets in whatever proportion you want: let white meat be meat 1 and dark meat by meat 2. xi yjk = Number of type i = 1, 2 turkeys purchased = Pounds of meat j = 1, 2 put in cutlets of type k = 1, 2 max 4(y11 + y21 ) + 3(y12 + y22 ) [10x1
Rutgers - BEN-ISRAEL - 386
11666641.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44A B C D E F Busville (Note: there are multiple optimal solutions, some with integer values, some not) Distances
Rutgers - BEN-ISRAEL - 386
11666668.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25A Wild Turkey Company Turkeys Pounds White Meat Pounds Dark Meat CostBCDEFType 1 5 2 $10.00 Cutlet 1 70% 50 $4.00 Type 1 8.67 Pounds Obtained 53 27Type 2 3
Rutgers - BEN-ISRAEL - 386
11666629.xlsA B 1 Audit Scheduling 2 3 Activity 4 Code A Determine terms 5 B Appraise risk 6 C Identify transactions 7 D System description 8 E Verify description 9 F Evaluate controls 10 G Design audit 11 12CDEFGHIJDuration Start
Rutgers - BEN-ISRAEL - 386
11666568.xlsA B 1 Audit Scheduling 2 3 Activity 4 Code A Determine terms 5 B Appraise risk 6 C Identify transactions 7 D System description 8 E Verify description 9 F Evaluate controls 10 G Design audit 11 12 13 14 15CD End Time Cost/Day To Cra
Rutgers - BEN-ISRAEL - 386
basketweavers.XLS1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25A B Basketweavers UniversityCDEFGHRequirements (along side) that are met by taking available courses (along top) (1 if it fills reqt, 0 if not) Calcul
Rutgers - BEN-ISRAEL - 386
11666541.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25A B Basketweavers UniversityCDEFGHRequirements (along side) that are met by taking available courses (along top) (1 if it fills reqt, 0 if not) Calculus OR
Rutgers - BEN-ISRAEL - 386
11666543.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22A Simon Mall ProblemBCD Mall Size Profit ShareE 10000 5%FGProfits per Store ($10,000's) Jewelry Shoe Department Book ClothingNumber of Stores 1 2 $9 $8 $10 $9 $27
Rutgers - BEN-ISRAEL - 386
11666622.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38A B Depot Siting ProblemCD Threshold 1 Coverage Cust 3 2 93 90 57 58 14 Cust 3 1 0 0 0 0 1 Cust 3 1 0 0 1 1 1 Cost $34,500E
Rutgers - BEN-ISRAEL - 386
We assume that the starting inventory is zero and the capacity of the production line is eectively unlimited. To make our logical upper bound constraints work acceptably in Solver, we need to come up with some relatively small capacity for each month
Rutgers - BEN-ISRAEL - 386
11666576.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30A B C Multi-period Production with Setup Costs Monetary inputs Setup cost (in $100s) Variable cost Holding cost Beginning inventory DemandsDEF$2.5
Rutgers - BEN-ISRAEL - 386
11666611.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26A B C D Complicated Assigning Jobs ProblemEG Regular Hours 8 Setup Cost $600 $700 $550 $675 $585 Setup? 1 0 0 0 1FH Overtime 2 Overtime Cost $190 $200 $275 $1
Rutgers - BEN-ISRAEL - 386
11666581.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26A Mediation Request Processing Average number of requests Chance of needing more attention Adjudicators Cost/Day Claims per day Outside Costs Full Secondary only Numb
Rutgers - BEN-ISRAEL - 386
11666621.xls1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25A Wastewater Problem Number of units Chance of being occupied Mean gallons/occupied unit Std dev gallons/occupied unit Treatment devices Capacity Cost/day Cost per gallo
Rutgers - BEN-ISRAEL - 386
11666575.xlsA B 1 Heating Element Problem 2 Average Arrival Rate 3 Machine Capacity 4 Scheduled Replace Cost 5 Emergency Replace Cost 6 Unit Revenue 7 Waiting Cost per Unit Day 8 9 Threshold 10 11 Replacement Interval 12 13 Revenue 14 Scheduled Rep
Rutgers - MATH - 473
MATH 473 62:640:473:B6 (94279) Numerical Methods Summer 2007Instructor: H. Assadipour, Ph.D.Email: hassadi@pegasus.rutgers.edu URL: http:/web.njit.edu/~hassadi Office: Smith 327 (Hours: M,W 8:00-8:30 AM) Telephone: (973)353-5156 (Ext. 26) Class M
Rutgers - CIS - 101
Instructor: Email: Office:CIS 101 Computer & Programming I Sprin 2008 H. Assadipour, Ph.D. URL: web.njit.edu/~hassadi hassadi@rutgers.edu Smith 327 Telephone (voice): 353-5156 (ext 26) Office hours: M, Th: 8:00-8:30 AMText: Lewis & Loftus, Java S
Rutgers - CIS - 101
PP 4.3/* / Box.java Author: Your Name / / Solution to Programming Project 4.3 (5E, p. 203) /* public class Box { private int height, width, depth; private boolean full; /-/ Sets up this Box object with the specified data. /-public Box (int h, int w,
Rutgers - CIS - 101
CS 101 Computers & Programming I How to prepare, compile & execute a program Dr. H. Assadipour Using jGRASP: 1. Start jGRASP 2. Use File New Java 3. Type-in your program, as shown in the screen capture below. 4. Save the file in the directory: C:
Rutgers - CIS - 101
Chapter 4 (Programming Projects) CS 101 Dr. H. Assadipour PP 4.1 - Class Declaration & Definition/* / Sphere.java Prepared by: Your Name / / Solution to Programming Project 4.1 (5E, p. 202) /* import java.text.DecimalFormat; public class Sphere { pr
Rutgers - CIS - 101
Quiz #1 (Sample) Place the letter corresponding to the correct answer in the Answer column: Answer Subject Description 1. Computer System a. ICU and ALU. 2. Digital Computers 3. Address 4. C, C+, and Java 5. Syntax Rules 6. Components of CPU 7. Algor
Rutgers - CIS - 101
CS 101 Computers & Programming I Quiz_02 (Sample) 1. Explain the following programming statement in terms of objects and the services they provide. System.out.println ("I gotta be me!");System.out: Println: "I gotta be me!" 2. What output is pr
Rutgers - CIS - 101
CS 101 Computers & Programming I Quiz #3 Dr. H. Assadipour1. What is the output of the following program? public class One { public static void main (String[] args) { int number=5; if (number < 1) System.out.println ("ERROR: Number is less than 1."
Rutgers - CIS - 101
Computer & Programming I Quiz #5 Dr. H. Assadipour 1. What is the output of the following program?Driver Programpublic class ThingTester { public static void main (String[] args) { Thing one = new Thing(); System.out.println (one); one.putThing(5);
Rutgers - CIS - 101
CS 101 Computers & Programming I Test_011. Which of the following are valid Java identifiers? Yes or No (Why)? Factorial: AnExtremelyLongIdentifierIfYouAskMe: 2ndLevel: hook&ladder: MAX_SIZE: highest$: 2. Yes or No (circle one): Yes or No (circle
Rutgers - CIS - 101
CS 101 Computers & Programming I Test #2 Dr. H. Assadipour1. a. The following statement should determine whether count is within the range of 0 throught 100. What is wrong with? Write your corrected version in the space below:if (count >= 0 | | c
Rutgers - BRM - 999
PROBABILITYThe probability of an outcome of a random variable is the proportion of times the outcome would occur in a very long series of experiments. Random Variable: X (in-the-shade-temperature at noontime in degrees Fahrenheit) Probability:We f
Rutgers - BRM - 999
Background: P o i n t s & L i n e s If 1 lb of sugar costs $0.50, 2 lbs cost $1, 3 lbs, $1.50, etc Cost ($) 1.50 1.0 .50 0. We can write: Cost = 0.50 X Weight for 5 lbs, Cost = 0.50 X 5 = $2.50 If there is a delivery charge of $1.30 per order, then
Rutgers - BRM - 999
Practice problems similar to Exercise G1: be sure to do a diagram (like Fig I & II) for each item!Use 3-pt rule or Table B: (I) If Y~N(0,1) (a) Pr(Y<-1) = (100-68)/2 = 16% ; (b) Pr(Y<2) = 50+95/2 = 97.5%; (c) Pr(-2<Y<2) = 95%; (d) Pr(-1<Y<2) = Pr(Y<
Rutgers - BRM - 999
This is part of a BRM exam given previously. It is provided in order to familiarize you with the format & type of questions. The forthcoming midterm may or may not be similar.Multiple Choice (Write the letter of the best answer in the space provide
Rutgers - PHYSICS - 344
Physics 344Observational Optical Astronomy Fall Semester, 2008Instructors:Dr. Ted Williams 306 Physics & Astronomy Building, Busch Campus (732) 445-5500 x 2516 (voice) (732) 445-4343 (fax) williams@physics.rutgers.edu (email) Office Hour: Thurs