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Linear Programming

Quantitative Method Multiple Choice Questions

Answer the following multiple choice problems: 1. The minimization of cost or maximization of profit is the a. objective of a business b. constraint of operations management c. goal of management science d. objective of linear programming e. both a and d 2. Cully furniture buys 2 products for resale: big shelves (B)

Quantitative Methods

True/False 7. When the right-hand sides of 2 constraints are both increased by 1 unit, the value of the objective function will be adjusted by the sum of the constraints' prices. 8. The sensitivity range for an objective coefficient is the range of values over which the current optimal solution point (product mix) will

Linear Programming

Solve the following linear programming problem using the graphical solution procedure: Maximize 5A +5B The constraints are: 1A <= 100 1 B <= 80 2A+4B <= 400 A,B >=0

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 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

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

Please help with the question #1 only

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 : 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

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

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

@ 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 / 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

Linear Programming : Defining Costraints and Maximizing Profit

Tom and Jerry, Inc., supplies its ice cream parlors with three flavors of ice cream: chocolate, vanilla, and banana. Due to extremely hot weather and a high demand for its products, the company has run short of its supply of ingredients: milk, sugar, and cream. Hence, they will not be able to fill all the orders received from

Linear Programming Model

The Warner Corporation has three branch plants with excess production capacity. Fortunately, the corporation has a new product ready to begin production, and all three plants have this capability, so some of the excess capacity can be used in this way. This product can be made in three sizes--large, medium, and small--that yield

What is the best mix of large and small globes to make the most profit?

1. Your company makes two sizes of globes, large and small. Sales of large globes generate $100.00 profit while small globes generate $50.00 profit. Large globes require 5 hours of kiln time, while small globes require only 1 hour. Management gets a bonus if they sell a lot of the large size globes, and, to increase market share

Solve the given natural and clamped cubic splines problems.

What is the difference between natural and clamped Cubic Splines? Solve the following problems with a clear explanation. [1] A natural cubic spline S on [0,2] is defined by S(x) = { S0(x) = 1 + 2*x - x^3 , if 0 <= x <= 1 S(x) = { S1(x) = 2 + b*(x-1) + c*(x-1)^2 + d*(x-1)^3 , if 1 <= x <=