Problem 4. (25 Points) Solve the following problem graphically (Please be neat). Draw the polytope on the x-y coordinate system (can be done either by hand or computer). Show all intersection of the polytope and identify the point (x‚y coordinate) where the objective function is maximized and provide that value. Maximize Z = 3x1 + 2x2 Subject to: 1x1 + 1x2 ≤ 10 8x1 + 1x2 ≤ 24 and x1‚ x2 ≥ 0 Solution : Point (a) is the origin (0‚0) where Z(a) = 3*0 + 2*0 = 0 Point (b) is the
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CASE ONE Two advertising media are being considered for promotion of a product. Radio ads cost $400 each‚ while newspaper ads cost $600 each. The total budget is $7‚200 per week. The total number of ads should be at least 15‚ with at least 2 of each type‚ and there should be no more than 19 ads in total. The company does not want the number of newspaper ads to exceed the number of radio ads by more than 25 percent. Each newspaper ad reaches 6‚000 people‚ 50 percent of whom will respond; while each
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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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What is a Plant Layout? Definition of Plant Layout Plant Layout is the physical arrangement of equipment and facilities within a Plant. The Plant Layout can be indicated on a floor plan showing the distances between different features of the plant. Optimizing the Layout of a Plant can improve productivity‚ safety and quality of Products. Uneccessary efforts of materials handling can be avoided when the Plant Layout is optimized. This is valid for: - Distances Material has to move - Distances
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SENSITIVITY ANALYSIS The solution obtained by simplex or graphical method of LP is based on deterministic assumptions i.e. we assume complete certainty in the 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
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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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Inventory Management help This problem entails knowing Inventory Control Subject to known demand. Based out of the book Production and Operations Analysis-5th edition ISBN 0072865385 which is almost Identical to 4th ed. A local machine shop buys hex nuts and molly screws from the same supplier. The hex nuts cost 15 cents each and the molly screws cost 38 cents each. A setup cost of $100.00 is assumed for all orders. This includes the cost of tracking and receiving the orders. Holding costs are
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Case 3: Jackpine Mall Jane Rodney‚ President of the Rodney development company‚ is creating a shopping centre at Jackpine Mall. She had already decided on a few stores to include within the shopping centre but could not decide on the next few. With our knowledge of decision modeling‚ we can achieve the most feasible solution for Jane. We based the decision of allocating the remaining few stores through our Present Value function: MAX = 28.1CM + 34.6CW + 50.0CV + 162.0RF + 77.8RL + 100.4RC
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Assignment #3: Case Problem "Julia’s Food Booth" Page 1 Case Problem "Julia’s Food Booth" Jenna Kiragis Strayer University 8/24/2012 Assignment #3: Case Problem "Julia’s Food Booth" Page 2 A) Formulate and solve an L.P. model: Variables: x1 – Pizza Slices x2 – Hot Dogs x3 – Barbeque Sandwiches Subject to: $0.75x1 + $0.45x2 + $0.90x3 ? $1‚500 24x1 + 16x2 + 25x3 ? 55‚296
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BUS 306 Fall 2012 H. Saber Names: Assignment #2 (Due October 7‚ 2012) A. 1. Review chapter3 from the textbook and do all the cases in the chapter independently. 2. Go through all the Solved Problems on chapters 2 and 3 in the textbook CD independently. B. C. 1. Provide complete solutions to problems 3.21‚ 3.25‚ 3.30‚ 3.34 from the textbook on pages 104 – 107 Submit the solution to the following questions. 1. Consider the following LP: Maximize Z = 3X1 + 2X2 Subject to: 2X1 + 4 X2 -X1
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