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Course: BEN-ISRAEL 386, Fall 2008School: Rutgers
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Word Count: 180
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Perfume The Problem: The Data Process Raw Material 1 1 3 0 4 0 $3.00 Activities Refine Brute 0 3 -1 1 0 0 $4.00 Refine Chanelle 0 2 0 0 -1 1 $4.00 Raw Material Lab Time Regular Brute Luxury Brute Regular Chanelle Luxury Chanelle Direct Unit Cost Limit 4000 6000 $7.00 Unit $18.00 Selling $6.00 Price $14.00 The Perfume Problem: Variables Process Raw Material 1 1 3 0 4 0 $3.00 4000 Activities Refine Brute 0 3 -1 1...
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Perfume The Problem: The Data
Process Raw Material 1 1 3 0 4 0 $3.00 Activities Refine Brute 0 3 -1 1 0 0 $4.00 Refine Chanelle 0 2 0 0 -1 1 $4.00
Raw Material Lab Time Regular Brute Luxury Brute Regular Chanelle Luxury Chanelle Direct Unit Cost
Limit 4000 6000 $7.00 Unit $18.00 Selling $6.00 Price $14.00
The Perfume Problem: Variables
Process Raw Material 1 1 3 0 4 0 $3.00 4000 Activities Refine Brute 0 3 -1 1 0 0 $4.00 666.67 Refine Chanelle 0 2 0 0 -1 1 $4.00 0
Raw Material Lab Time Regular Brute Luxury Brute Regular Chanelle Luxury Chanelle Direct Unit Cost Amount of Activity
Limit 4000 6000 $7.00 Unit $18.00 Selling $6.00 Price $14.00
The Perfume Problem: Variables
Process Raw Material 1 1 3 0 4 0 $3.00 200 Activities Refine Brute 0 3 -1 1 0 0 $4.00 30 Refine Chanelle 0 2 0 0 -1 1 $4.00 23
Raw Material Lab Time Regular Brute Luxury Regular Brute Chanelle Luxury Chanelle Direct Unit Cost Amount of Activity
Raw Material Lab Time
Usage of 200 336 Amount Sold 570 30 777 23
Revenue Cost Profit
Regular Brute Luxury Brute Regular Chanelle Luxury Chanelle
Limit 4000 6000 $7.00 Unit $18.00 Selling $6.00 Price $14.00
$9,514.00 $812.00 $8,702.00
The Perfume Problem: Solution
Process Raw Material 1 1 3 0 4 0 $3.00 4000 Activities Refine Brute 0 3 -1 1 0 0 $4.00 666.67 Refine Chanelle 0 2 0 0 -1 1 $4.00 0
Raw Material Lab Time Regular Brute...
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Rutgers - BEN-ISRAEL - 386
11666542.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 Perfume Problem - "Grid" VersionCDEFRaw Material Lab Time Regular Brute Luxury Brute Regular Chanelle Luxury Chanelle Direct Unit Cost Amount of Activity
Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
LOGICAL CONSTRAINTS AND BINARY VARIABLESADI BEN-ISRAELLet A, B, C, denote some actions, and let A , B , C , be the corresponding decisions, i.e., X = 1, if action X is taken; 0, otherwise.We express logical conditions on the actions by con
Rutgers - BEN-ISRAEL - 386
Buying widgetsThe XYZ Corp. has a budget of $500,000, which it intends to use for buying widgets. There are three vendors, each with unlimited supply, who offered the following terms. Vendor 1 stipulates that an order must be no less than 4,000 widg
Rutgers - BEN-ISRAEL - 386
Tossing a CoinA coin shows "1" and "0" with probabilities p, 1-pp 0.4 Value Probability 0 0.6 1 0.4Simulated value #Rolling a dieA die shows "1", , "6" with given probabilitiesValue Probability 1 0.166667 2 0.166667 3 0.166667 4 0.166667 5 0
Rutgers - BEN-ISRAEL - 386
A Guessing GameThrow two dice and guess a number from 2 to 12 Your opponent always chooses the number in cell C10 If your number is closer to to the sum of the dice you win 1 point. If your opponent is closer you w There are 11 scenarios. Find the
Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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0.25 0.24 0.23 0.22 0.21 0.2 0.19 0.18 0.17 0.16 0.15 0.14 0.13 0.12 0.11 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20200.25 0.24 0.23 0.22 0.21 0.2 0.19 0.18 0.17 0.16 0.15 0.14 0.13 0.1
Rutgers - BEN-ISRAEL - 386
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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
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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
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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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
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Rutgers - BEN-ISRAEL - 386
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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
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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
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Rutgers - BEN-ISRAEL - 386
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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
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Rutgers - BEN-ISRAEL - 386
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Rutgers - BEN-ISRAEL - 386
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