Sample Exam # 2 solutions ESI 6314 Deterministic Methods in Operations Research 1. Valdosta Tile Co. has two clay mining pits‚ P1 and P2‚ each of which supplies 15 tons of clay per month to three tile making kilns‚ K1‚ K2 and K3‚ each of which require 10 tons of clay per month. The shipping costs ($ per ton) are given in the table below: [pic] a) Formulate a transportation linear program to minimize shipping costs b) Determine a “Northwest Corner Rule” basic feasible solution for this
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Case Problem Truck Leasing Strategy By: Alex Somerville November 8‚ 2014 In this problem‚ Bob Reep the owner and president of Reep Construction‚ needs to figure out a way to accommodate a short term leasing plan for trucks within budget to complete this project. In order to appropriately illustrate and solve Reep’s problem‚ I will be using the concept of a sensitivity analysis. This analysis will show how changes in this problem will affect the overall optimal solution. The following sensitivity
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Running head: QUADRATIC FUNCTIONS 1 Real World Quadratic Functions Gail Frazier MAT 222 Week 4 Assignment Instructor: Simone Danielson March 6‚ 2014 Real World Quadratic Functions [no notes on this page] -1- QUADRATIC FUNCTIONS 2 Quadratic functions are perhaps the best example of how math concepts can be combined into a single problem. To solve these‚ rules for order of operations‚ solving equations‚ exponents‚ and radicals must be used. Because multiple variables
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Blank ntroduction to Management Science‚ 11e (Taylor) Chapter 2 Linear Programming: Model Formulation and Graphical Solution 1) Linear programming is a model consisting of linear relationships representing a firm’s decisions given an objective and resource constraints. Answer: TRUE Diff: 2 Page Ref: 31 Section Heading: Model Formulation Keywords: model formulation AACSB: Analytic skills 2) The objective function always consists of either maximizing or minimizing some value
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Article Critique Hawker Beechcraft Uses a New Solution Approach to Balance Assembly Lines (Interfaces‚ Vol. 41‚ No. 2‚ 2011‚ PP. 164-176) LINK: http://pubsonline.informs.org/doi/abs/10.1287/inte.1100.0535 Summary Hawker Beechcraft Corporation (HBC) is an aircraft producer with a paced assembly line‚ which means that an aircraft was moved to the next workstation on the assembly line after certain period of time (cycle time) even if work in a previous workstation had not completed. The company
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Case Problem 2: Phoenix Computer Phoenix Computer manufactures and sells personal computers directly to customers. Orders are accepted by phone and through the company’s website. Phoenix will be introducing several new laptop models over next few months and management recognizes a need to develop technical support personnel to specialize in the new laptop systems. One option being considered is to hire new employees and put them through a three-month training program. Another option is to put
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1. The Ace Manufacturing Company has orders for three similar products: _____________________________________ Orders Product (units) A 2000 B 500 C 1200 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However‚ due to varying defect percentages of each product on each machine‚ the unit costs of the products vary depending on the machine used. Machine capacities for the next week‚ and the unit costs
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TAYLMC04_0131961381.QXD 4/14/09 8:33 AM Page 42 Chapter Four: Linear Programming: Modeling Examples PROBLEM SUMMARY 1. “Product mix” example 2. “Diet” example 3. “Investment” example 4. “Marketing” example 5. “Transportation” example 6. “Blend” example 7. Product mix (maximization) 8. Sensitivity analysis (4–7) 9. Diet (minimization) 10. Product mix (minimization) 11. Product mix (maximization) 12. Product mix (maximization) 13. Product mix (maximization) 14. Ingredients mix (minimization)
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| | (0‚ ∞)Question 8 Find the largest open interval(s) where the function is Increasing y = x4 - 18x2 + 81Answer | | (-∞‚ 0) | | | (-3‚ 0) | | | (-3‚ 3) | | | (3‚ ∞) | Question 9 S(x) = -x3 + 6x2 + 288x + 4000‚ 4 ≤ x ≤ 20 is an approximation to the number of salmon swimming upstream to spawn‚ where x represents the water temperature in degrees Celsius. Find the temperature that produces the maximum number of salmon.Answer | | 8°C | | | 20°C | | | 4°C | | | 12°C |
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mywbut.com Operation Research Code: IT504D Contact: 3L + 1T Credits: 4 Module I Linear Programming Problems (LPP): Basic LPP and Applications; Various Components of LP Problem Formulation. Solution of Linear Programming Problems: Solution of LPP: Using Simultaneous Equations and Graphical Method; Definitions: Feasible Solution‚ Basic and non-basic Variables‚ Basic Feasible Solution‚ Degenerate and Nondegenerate Solution‚ Convex set and explanation with examples. [5L] Solution of LPP by Simplex
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