Mathematics Homework Solutions

Process Flow Time - Queueing Problem and Critical Assumptions

Fort Lost-in-the-Woods is a basic training center for new Army recruits. Upon arriving at the military post the new recruits are processed through the Induction Center that involves three steps: background information gathering, medical examination, and barracks assignment. Arriving inductees first enter the Center's Background ...continues

Queueing Problem : Labor Usage, Percentage Unused Avaliable Labor, Exponential Distribution

A certain service station uses a team of 3 mechanics in one repair station to work on each car that needs repair. This team can repair cars at a rate of 9 per day. Cars arrive for repairs at the station at the rate of 4.5 per day. The service station owner has decided that this team is not very efficient in terms of labor usa ...continues

Critical Path and Length

Attached is the document with the table. Project planners have sought the experienced judgment of various knowledgeable engineers, supervisors and vendors and have developed the time estimates shown below for an electric plant construction project. Precedence is also given (For example, activity E must follow activity B). ...continues

Capability of a Process : Reviewing Account Audits ; Standard Deviation

An accounting firm is trying to understand the capability of its process to review certain types of account audits. They know that on average it takes 10 hours to complete one of these audits, but due to variation, they promise the customer that it will be done in 15 hours. If the standard deviation of this audit process is 2.5 ...continues

Capacity of a Process : Flow Chart (identify potential buffers, activities, and resources) and Theoretical Capacity

Product P is made in-house by assembling two parts (parts 1 and 2): Part 1 is first processed on machine A for 15 minutes per unit and then processed on Machine B for 10 minutes per unit. Part 2 is processed on machine C for 20 minutes per unit. An assembler then assembles the two parts, with the assembly operation taking 15 m ...continues

Capacity Planning

I need to determine the process utilization of your "loan processing" activity. Below are the following processes in the listed sequence, and the time required: A. Processing customer credit application (performed by a credit analyst over the internet): 3 minutes B. Waiting for credit analysis (Wait room marked "Wait for ...continues

Linear Programming : Extreme Points of Polyhedral Sets and Recession Directions

1. Find all basic solutions of the following system: -x1 + 2x2 + x3 + 3x4 - 2x5 = 4 x1 - 2x2 + 2x4 + x5 = 2 2. Find all extreme points of the following polyhedral set X = {(x1, x2, x3) : x1 - x2 + x3 ≤ 1, x1 -2x2 ≤ 4, x1, x2, x3 ≥ 0} Does X have an ...continues

What is critical path for this project? How long will it take to complete the project? Please draw a CPM network diagram for this project.

You are in the process of selecting and awarding a major contract as quickly as possible. Management has approved simultaneous advertisements in CBD (Commerce and Business Daily), over the internet and Global media (contract journals). Here are the activities for this project, constraints of each activity and the duration for ea ...continues

Linear Programming : Maximizing Subject to Constraints and Knapsack Algorithm Problem

1. Solve the following linear programming problem by the simplex method. At each iteration, identify B and B-1 Maximize 3x1 + 2x2 + x3 Subject to 3x1 – 3x2 + 2x3 ≤ 3 - x1 + 2x2 + x3 ≤ 6 x1, x2 ,x3 ...continues

Simplex Tableau Linear Programming : Find the values of the unknowns "a" through "n"

Find the values of the unknowns "a" through "n" z x1 x2 x3 x4 x5 RHS Starting Tableau z 1 a 1 -3 0 0 0 x4 0 b c d 1 0 6 x5 0 -1 2 e 0 1 1 Current Tableau z x1 x2 x3 x4 x5 RHS z 1 0 - 1/3 j k L n 0 g 2/3 2/3 1/3 0 f 0 h i - 1/3 1/3 1 m

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