The Central Police Department had recently been criticized in the local media for not responding to police calls in the downtown area rapidly enough. In several recent cases‚ alarms had sounded for break-ins‚ but by the time the police car arrived‚ the perpetrators had left‚ and in one instance a store owner had been shot. Sergeant Davies had been assigned by the chief to find a way to determine the optimal patrol area (dimensions) for their cars that would minimize the average time it took to respond
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Exam 2 Preparation Guidelines February 24‚ 2013 Exam 2 is scheduled for Tuesday 3/5. Coverage will include material identified on the syllabus through 2/28. The exam will be comprised of two parts: (1) multiple choice questions (and possibly a few true/false)‚ (2) short answers. The weight between parts I and II will likely be in the neighborhood of 50-50. I’m guessing that 80% or more of the exam points will based on content since exam 1 (i.e.‚ content in chapters 8‚ 10‚ and 11). The exam is closed
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Solver is a tool to model and solve linear and nonlinear programming problems. To access it‚ open Excel‚ choose the tab “Data” and select “Solver” from the “Analysis” group. If it is not there‚ you have to install it‚ by clicking the “File” tab (or the Office button)‚ then “Options”‚ then “Add-Ins”‚ and then “Manage Add-Ins”. Check “Solver” there. To solve the model‚ you have to first program in on a spreadsheet. In the attached “excel-example.xls” we solve the linear programming problem max 3x1 + 2x2
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In order to understand this topic‚ continuous-time system comes into different classifications which are the following: * Linear and Nonlinear Systems A system is linear if it follows the superposition principle. Also‚ it satisfies the additivity and homogeneity properties. Hence‚ if a system does not satisfy either of the two properties‚ it is said to be a non-linear system. * Time-varying and Time-Invariant Systems A system is said to be
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the following demand data for the past 8 months: Month Demand for Soft Shag Carpet (1‚000 yd.) 1 8 2 12 3 7 4 9 5 15 6 11 7 10 8 12 a. Compute a 3-month moving average forecast for months 4 through 9. b. Compute a weighted 3-month moving average forecast for months 4 through 9. Assign weights of 0.55‚0.33‚and 0.12 to the months in sequence‚ starting with the most recent month. c. Compare the two forecasts by using MAD. Which forecast appears to be
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Algebra I Chapter 5 Study Guide Writing Linear Equations Name ________________ Due: Tuesday‚ January 17 (Exam week) 100 points Writing Linear Equations in a Variety of Forms Using given information about a __________‚ you can write an ________________of the line in _____________ different forms. Complete the chart: Form (Name) Equation • • Important information The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line
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voltage that is typically hundreds of thousands of times larger than the voltage difference between its input terminals.[2] Operational amplifiers had their origins in analog computers where they were used to do mathematical operations in many linear‚ non-linear and frequencydependent circuits. Characteristics of a circuit using an op-amp are set by external components with little dependence on temperature changes or manufacturing variations in the op-amp itself‚ which makes op-amps popular building
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Integer Programming 9 The linear-programming models that have been discussed thus far all have been continuous‚ in the sense that decision variables are allowed to be fractional. Often this is a realistic assumption. For instance‚ we might 3 easily produce 102 4 gallons of a divisible good such as wine. It also might be reasonable to accept a solution 1 giving an hourly production of automobiles at 58 2 if the model were based upon average hourly production‚ and the production had the interpretation
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of the functional notation f(x) 1.4 Determine the value of f(x) given a value for x B. Linear Functions 1. Demonstrate knowledge and skill related to linear functions and apply in solving problems 1. Define the linear function f(x) = mx + b 2. Given a linear function Ax + By = C‚ rewrite in the form f(x) = mx + b and vice versa 3. Draw the graph of a linear function given the following: * any two points *
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Math Exam Notes Unit 1 The Method of Substitution -Solving a linear system by substituting for one variable from one equation into the other equation -To solve a linear system by substitution: Step 1: Solve one of the equations for one variable in terms of the other variable Step 2: Substitute the expression from step 1 into the other equation and solve for the remaining variable Step 3: Substitute back into one of the original equations to find the value of the other variable Step
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