Most everybody wants a better life for their children than the one they have for themselves. The story of a young man I met and got to know over the years is no different. Tomas was born in a small town near Juarez‚ Mexico‚ where the violence and crime were growing every year. Tomas knew he had to get to the United States‚ where he felt he would find safety and a chance for a better life for his family. I met Tomas at a local Mexican restaurant several years ago in my hometown. My family became regulars
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Case Problem: Textile Mill Scheduling Assuming‚ X1 = Yards of fabric 1 purchased X2 = Yards of fabric 1 on dobbie looms X3 = Yards of fabric 2 purchased X4 = Yards of fabric 2 on dobbie looms X5 = Yards of fabric 3 purchased X61 = Yards of fabric 3 on dobbie looms X62 = Yards of fabric 3 on regular looms X7 = Yards of fabric 4 purchased X81 = Yards of fabric 4 on dobbie looms X82 = Yards of fabric 4 on regular looms X9 = Yards of fabric
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Technische Universit¨t Dortmund a Department of Biochemical and Chemical Engineering Chair of Process Dynamics and Operations Prof. Dr. Sebastian Engell Written Midterm Examination Control Theory & Application Master Program: Automation & Robotics WS 2010/11 9th of December‚ 2010 Duration: 75 minutes Task Achievable Score Score Achieved Σ Question 1: a) b) c) d) e) Σ Question 2: Σ Question 3: a) b) Σ Question 4: a) b) c) d) e) f) Σ Question 5: Σ Question 6: a) b) Σ Total 2.5 0
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Example 1 Max s.t. 5x1 + 7x2 x1 < 6 2x1 + 3x2 < 19 x1 + x2 < 8 x1‚ x2 > 0 x2 8 7 6 5 4 3 2 1 x1 + x2 < 8 Max 5x1 + 7x2 x1 < 6 Optimal: x1 = 5‚ x2 = 3‚ z = 46 2x1 + 3x2 < 19 x1 1 2 3 4 5 6 7 8 9 10 x2 8 7 6 5 4 3 2 1 5 5 Feasible Region 1 1 1 2 3 4 4 4 3 3 2 2 5 6 7 8 9 10 x1 Example 1 • Range of Optimality for c1 The slope of the objective function line is -c1/c2. The slope of the first binding constraint‚ x1 + x2 = 8‚ is -1 and the slope
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First‚ we find the derivative: We set the derivative equal to 0 and solve: Since the domain of f is the same as the domain of f’‚ 4 is the only critical number of f. Testing: x < 4 | f’(0) = -8 | f is decreasing | x > 4 | f’(5) = 2 | f is increasing | By the First Derivative Test‚ x = 4 is a local minimum. 2) We are given the function First‚ we find the derivative: We set the derivative equal to 0 and solve: Since the domain of f is the same as the domain of
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IE181 Quiz 1 – Model Formulation Formulate the following problems. 1. A trade magazine reports the rated exposure (people/month/peso advertising outlay) for each of five media: TV‚ radio‚ magazines‚ newspapers and outdoor advertising as 22‚ 12‚ 15‚ 10 and 5‚ respectively. The advertising company wants to develop an optimal media mix restricted to the following conditions: a. The total advertising budget is P1 million. b. No more than 50% of the budget is to be expended
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Unit 300: Solving Problems and Making Decisions Extra workload in the form of all BTEC students having to sit at least 2 exams. Background I work for SGS College in Bristol. The college caters for 16-19 year old learners and also provides education for adult learners‚ with a wide range of courses. We have a very successful sports academy and generally good facilities across the college which provide specialist training. I work in the Exams team and my role is to register‚ claim and
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Constraints – Involve only 1 variable – Nonnegativity Constraint - X≥0 Lower Bound Constraint - X≥L(a number other than 0) Upper Bound Constraint - X≤U Interger Constraint - X=integer Binary Constraint - X=0 or 1 EXAMPLE FROM HOMEWORK 1 of Constraints CONSTRAINTS FORMULA WOOD 9X1 + 3x2 ≤ 2250 CUSHIONS X2 ≤ 500 CHAIRS TO TABLE MIN 4x2:x1 -4x1+x2≤0 CHAIRS TO TABLE MAX 6x2:x1 -6x1+x2≥ 0 PRODUCTION HOURS X1 + .6x2 ≤375 Given X1 ‚ x2 ≥ 0 See SELF QUIZ 1 for more info Step 1 – Define Decision Variables
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The Murder case of Hae Min Lee is a flawed one‚ it lacks not only physical evidence‚ but a good reasoning on why they thought Adnan Syed killed his ex-girlfriend. This case gained only local interest until in 2014 Sarah Koenig who created a podcast called‚ “Serial” ‚ where she did years of research to try‚ and find the truth but she came to a lot of dead ends. The information only led to more questions about the case. I believe Adnan Syed is innocent‚ and there was never a good of enough reason for
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“ Z for Zachariah” by Robert C. O’Brien is a story that is very interesting and I recommend that most middle schoolers read it. This book takes place in a valley in a small home with a garden‚ farm animals and a dog. It’s mostly raining and sometimes sunny. Ann Burden who is sixteen who thinks that she is the only person that is left on earth. Ann does not go to school‚ she stays at home and takes care of farm animals and also gardens. John Loomis who is a scientist and who was protected by from
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