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# Linear Programming

### Quantitative Method Case Study

Your write-up for the Term Paper project must be in the format of a report (the questions to be answered are posed after each Case). Each Case study must have an abstract outlining the methodology chosen to tackle the problem. You must say why this methodology is the best suited for the analysis of the case in hand. You must pro

### A dual price cannot be negative

Because the dual price represents the improvement in the value of the optimal solution per unit increase in right hand side, a dual price cannot be negative. true or false.

### The initial probability of success was 1 in 3 or .333. Now the contestant is down to two doors. There is a 50/50 chance of winning with two doors no matter what happened before so it doesn't matter if she switches. (true or false)

The initial probability of success was 1 in 3 or .333. Now the contestant is down to two doors. There is a 50/50 chance of winning with two doors no matter what happened before so it doesn't matter if she switches. (true or false) _________________________________________________________________________ II. The optimal solu

### The difference between the transportation and assignment problems is that...

...total supply must equal total demand in the transportation problem. ...the number of origins must equal the number of destinations in the transportation problem. ...each supply and demand value is 1 in the assignment problem. ...there are many deferences between the transportation and assignment problems. ----

### Linear Programming : Optimal Solution

Max Z = 3x1 + 5x2 Subject to: 7x1 + 12x2 <=136 3x1 + 5x2 <+ 36 x1, x2 >= 0 and integer Find the optimal solution. Answer in the form of a solution for Z= enter xx only

### Linear Programming : Maximizing Profit

A large sporting goods store is placing an order for bicycles with its supplier. Four models can be ordered: the adult Open Trail, the adult Cityscape, the girl's Sea Sprite, and the boy's Trail bBlazer. It is assumed that every bike ordered will be sould, and their profits, respectively, are 30, 25, 22, and 20. The LP model sho

### Linear Programming & Simplex Method

Maximize P = x1 + 2x2 + 3x3 using the simplex method. Subject to the constraints 2x1 + x2 + x3 < 25 2x1 + 3x2 + 3x3 < 30 x1 > 0, x2 > 0, x3 > 0, Please see the attached file for the ful

### Linear Modelling

WINTER 2007 OPERATIONS MODELING IOE 202 Homework 1 IMPORTANT NOTE This is a team homework. The team works on this homework together, but each member of the team must write their own home work and hand it in with their name (underlined) and the names of other team members on the front page. Also, each member of the team mu

### Intermediate Node Constraint

In setting up the an intermediate (transshipment) node constraint, assume that there sources, two intermediate nodes, and two destinations, and travel is possible between all sources and the intermediate nodes and between all intermediate nodes and all destinations for a given transshipment problem. In addition, assume that no t

### Math for decision making

1. The number of pizzas ordered on Friday evenings between 5:30 and 6:30 at a pizza delivery location for the last 10 weeks is shown below. Use exponential smoothing with smoothing constants of .2 and .8 to forecast a value for week 11 (i.e., prepare two forecasts using each of the alpha values). Compare your forecasts using M

### Math for decision making business

1. Decision variables a. tell how much or how many of something to produce, invest, purchase, hire, etc. b. represent the values of the constraints. c. measure the objective function. d. must exist for each constraint. 2. Which of the following is a valid objective function for a linear programming problem? a. Max 5x

### Linear programming problem for an Auto Company Manufacture

An auto company manufactures cars, pickup trucks, and sport utility vehicles (SUV's). The parts for the body of each vehicle must be stamped out on a press, undercoated, then ¯nish-painted. Suppose the press line can press 35 car bodies per day if just cars are being made (that is, it requires 1/35 of a day to press one car

### Cinergy power plant

Cinergy Corporation manufactures and distributes electricity for customers located in Indiana, Kentucky, and Ohio. The company spends \$725 to \$750 million each year for the fuel needed to operate its coal-fired and gas-fired power plants; 92% to 95% of the fuel used is coal. Cinergy uses 10 coal-burning generating plants: five l

### Linear Programming : Objective Function

8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X + Y < 8 X, Y > 0 What is the optimal value of the objective function?

### Linear Programming : Optimal Value of Objective Function

Consider the following linear programming problem Max 8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X + Y < 8 X, Y ³ 0 What is the optimal value of the objective function?

### Linear Programming : Simplex Method

Please see the attached file for the fully formatted problems. 1. Consider the following maximum problem in standard form: Maximize Z = 8X1 + 2X2 + 3X3 subject to the constraints X1 + 3X2 + 2X3 < 10 4X1 + 2X2 + 3X3 < 8 X1 > 0, X2 > 0, X3 > 0 (a) Rewrite the two constraints as equations by adding sla

### Need Help With Modelling and Simulation Problems

See attached file for full problem description. 1. The Computer Gaming Company (CGC) plans on releasing a new product. It is a keyboard designed for hard core gamers. The total cost to produce and market this keyboard would be \$250,000. It will cost \$25 per keyboard for materials and assembly. The company plans on selling

### Math for decision making

1. Decision variables a. tell how much or how many of something to produce, invest, purchase, hire, etc. b. represent the values of the constraints. c. measure the objective function. d. must exist for each constraint. 2. Which of the following is a valid objective function for a linear programming problem? a. Max 5x

### Linear Programming Sensitivity Analysis

I have marked the problems which I need solutions for in the attached scanned pages. You may find some of the problem having reference to other questions which are not there but do them from the scratch.. See attached file for full problem description.

### Linear Operations

1If the optimal solution will remain the same over only a small range of values for a particular coefficient in the objective function, then management will want to take special care to narrow this estimate down. A) True. B) False. 2A shadow price indicates how much the optimal value of the objective function w

### Linear Programming : Maximizing Profit

Furniture Unlimited has the capability to manufacture desks, cabinets, and chairs. In order to manufacture these product, it must rent the appropriate equipment at a weekly cost of \$2,000 for the desks, \$2,500 for the cabinets, and \$1,500 for the chairs. The labor and material requirements for each product are shown iii the foll

### The Beacon Company:Formulation & solution of LPP

The Beacon Company is a large manufacturer of automotive supplies. The company has decided to spend \$35 million next year to expand it manufacturing and warehouse facilities. Each warehouse will cost \$3.5 million and will contribute \$17,000 per month toward profitability. Each plant will cost \$5.5 million and will contribute \$36

### Operations Research: Linear Programming

Solve this problem with one both a one-way solverTable and one two-way solverTable. Failsafe Electronics Corporation manufactures four products. Each of the products must pass through the following departments: wiring, drilling, assembly, and inspection. Time requirements in each department (in hours) for each unit produced and

### Transportation Model linear programming model. Need help setting up problem for Excel solver.

Having real problems setting up transportation problems in Excel's Solver. Please help with objective function, constraints, formulas, etc. Spreadsheet would be wonderful soI can see how to do it! The Krampf Lines Railway Company specializes in coal handling. On Friday APril 13, Krampf needed empty coal cars to be moved from

### Transportation Model - Linear Programming

Need help with the following problem, am stuck trying to set it up correctly. Can you help with the objective function and constraints, also the formulas for solver. The Arden County, Maryland, superintendent of education is responsible for assigning students to the three high schools in his county. He recognizes the need to

### Linear Programming

A) Solve the problem graphically by providing the extreme points and the corresponding z values, and indicate the optimum solution. Also indicate how much extra cotton and processing time are left over at the optimal solution. Is the demand for corduroy met? b) What is the effect on the optimal solution if the profit per yar

### Linear Programming : Maximizing Profits, Graphical Method

Gillian's Restaurant has an ice cream counter where it sells two main products, ice cream and frozen yogurt, each in a variety of flavors. The restaurant makes one order for ice cream and yogurt each week, and the store has enough freezer space for 115 gallons of both products. A gallon of frozen yogurt costs \$0.75 and a gallo

### Linear Programming

@ Reconsider the Super Grain Corp. case study as presented in Section 4.1. The advertising firm, Giacomi & Jackowitz, now has suggested a fourth promising advertising medium-radio commercials-to promote the company's new breakfast cereal, Crunchy Start. Young children are potentially major consumers of this cereal, but parents o

### Linear programming description and examples

Provides a report on Linear programming which comprises of: Abstract History Need few solved problems Bibilography and References taken.

### Linear Programming / Transportation Problem : Minimizing Cost

The Widgit Company has agreed to supply its best customer with three widgits during each of the next 3 weeks, even though producing them will require some overtime work. The relevant production data are as follows: Week Maximum Production, Regular Time Maximum Production, Overtime Production Cost per Unit, Regular Time 1