Operations Management II Introduction to Operations Research Operations Research (OR) Definition Operations Research is the representation of real world systems by mathematical models together with the use of quantitative methods (Algorithms) for solving such models‚ with a view of optimising. - (J.E Beasley) “The attack of modern science on complex problems arising in the direction and management of large systems of men‚ machines‚ materials and money in industry‚ business‚ government
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data and the relationships of a problem namely prices are fixed‚ resources known‚ time needed to produce a unit exactly etc. However in the real world‚ conditions are seldom static i.e. they are dynamic. How can such discrepancy be handled? For example if a firm realizes that profit per unit is not Rs 5 as estimated but instead closer to Rs 5.5‚ how will the final solution mix and total profit change? If additional resources‚ such as 10 labor hours or 3 hours of machine time‚ should become available
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MERTON TRUCK COMPANY Sol 1 : Given : Selling Price od Model 101 truck : 39000 Selling Price of Model 102 truck : 38000 We know‚ Contribution C = SP – VC VC for Model 101 : Direct Material + Direct Labor + Variable Overhead : 24000 + 4000 + 8000 = $36000 VC for Model 102: Direct Material + Direct Labor + Variable Overhead : 20000+ 4500+8500 = $33000 Let no of Model 101 produced be X Let no of Model 102 produced be Y Z= (39000-36000)X + (38000=33000)Y Z=3000X + 5000Y
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CONFIDENTIAL CS/SEPT 2014/QMT339 UNIVERSITI TEKNOLOGI MARA FINAL LAB TEST COURSE : SPREADSHEET MODELING AND DECISION ANALYSIS COURSE CODE : QMT339 EXAMINATION : SEPTEMBER 2014 TIME : 3 HOURS NAME : ____________________________________________________________ GROUP : ____________________ STUDENT ID LECTURER : ____________________________________________________________ : _________________________ INSTRUCTIONS TO CANDIDATES 1. 2. This question paper consists of two part: PART
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1. Introduction Linear programming (LP) model is a significant and popular used model of operational research technique. It helps to optimize the objective value with constraints. LP model have three essential assumptions when use this model to solve problem. Firstly‚ proportionality and additively‚ which means that the objective function and the functions in constraints are all linear. In other words‚ it means the equation of objective and constraints are linear equation. Secondly‚ LP model
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Assignment #3 The following variables will be used: X1 = Slices of Pizza X2 = Hot Dogs X3 = BBQ Sandwiches The objective is to maximize profit. maximize Z= 0 .75X1+1.05X2+1.35X3 Subject to: 0.75X1+1.05X2+1.35X3≤1‚500(Budget) 24X1+16X2+25X3≤55‚296in2 (Oven space) X1≥X2+X3 X2X3≥2.0 X1‚ X2‚ X3≥0 Julia’s Food Booth Food items: Pizza Hot Dogs Barbecue Profit per item: 0.75 1.05 1.35 Constraints: Available Usage Left over Budget ($) 0.75 0.45 0.90 1‚500
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I. Evolution of Management Science DATE CONTRIBUTION CONTRIBUTOR Unknown Year BC Credited with a treatise on organization principles in Chapter 18 of the Book of Exodus. Jethro 212 BC Devised means on how to break the naval siege of Syracuse which was attacked then by the Romans. Known to be one of the earliest operations research evident on history. Archimedes Unknown Invention of work/operations specification (first evidence). Venice Skilled Ship Workers Unknown Institution of Hellenistic
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REPORT ON RED BRAND CANNERS – CASE STUDY Introduction: Red Brand Canners is a medium sized company that cans and distributes a variety of fruit and vegetable products under private brands in the western states. The company makes three different tomato products including whole tomatoes‚ tomato juice and tomato paste. They also distribute Choice peach halves‚ peach nectarine and cooking apple products. As part of their discussion over the amount of tomato products to pack in a particular
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purchase more sandwiches. After she pays any funds back that she has borrowed then she will earn a profit of at least $69.20 which is half of the $138.40 borrowed. C) Evaluate the prospect of paying a friend $100/game to assist. The linear programming results show that Julie will have a profit of $2250 minus the $1000 for booth rent for the month which will leave $1150. She only wants to make a profit of $1000 therefore she has at least $150 to keep $50 to purchase more sandwiches and $100
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the profit function? d. Compute the profit (loss) corresponding to production levels of 12‚ 000 and 20‚ 000 units. QUESTION 3 Solve the following quadratic equations: i. ii. f ( x) x 2 4 x 4 f ( x) 3 x 2 4 x 2 QUESTION 4 a. For the linear program Max 2x + 3y Subject to x + 2y ≤ 6 5x + 3y ≤ 15 x‚ y ≥ 0 Find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? b. As part of a quality improvement initiative‚
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