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Linear Programming

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 <=

Linear Programming Model

1. The Lakeside Boatworks is planning to manafacture three types of molded fiber glass recreational boats-a fishing (bass) boat, a ski boat, and a small speedboat. The estimated selling price and variable cost for each type of boat are summarized in the following table. Boat Variable Cost Selling Price

the Friendly family;LPP and sensitivity analysis

On their farm, the Friendly family grows apples that they harvest each fall and make into three products-apple butter, applesauce, and apple jelly. They sell these three items at several local grocery stores, at craft fairs in the region, and at their own Friendly Farm Pumpkin Festival for two weeks in October. Their three prima

Quantitative Methods: INTEGER PROGRAMMING

INTEGER PROGRAMMING TRUE/FALSE 1. In a mixed integer model, some solution values for decision variables are integer and others can be non-integer. 2. In a total integer model, some solution values for decision variables are integer and others can be non-integer. 3. The branch and bound method can only be used for m

Linear Programming : Objective Function and Optimal Solution

Pet Supplies Company produces 16-ounce cans of dog food by combining meat by-products, which cost $0.60 per pound, and chicken by-products, which cost $0.35 per pound. Meat by-products are 55% protein and 30% fat by weight, while chicken by-products are 40% protein and 10% fat by weight. To meet customer expectations, the fina

Linear Programming Problem

Below is the computer solution to a linear programming problem linear programming: For the above information, answer the following: a) What are the objective function and the constraints? b) What are the values of the variables at optimality and what is the value of the objective function at optimality? c) If ther

Quantitative methods - Study guide

LINEAR PROGRAMMING: MODELING EXAMPLES TRUE/FALSE 1. When formulating a linear programming problem constraint, strict inequality signs (i.e., less than < or, greater than >) are not allowed. 2. In formulating a typical diet problem using a linear programming model, we would expect most of the constraints to be (less-

Quantitative Methods

1. The linear programming problem whose output follows is used to determine how many bottles of fire red nail polish (x1), bright red nail polish (x2), basic green nail polish (x3), and basic pink nail polish (x4) a beauty salon should stock. The objective function measures profit; it is assumed that every piece stocked will be


LINEAR PROGRAMMING: COMPUTER SOLUTION AND SENSITIVITY ANALYSIS TRUE/FALSE 1. 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. 2. Sensitivity analysis is the analysis of the effect of parameter changes on

Linear Programming Model Calculations

See attached file for full problem description. Question 14 only. Figure E.10 Solution Variable Variable Original coefficient Label Value Coefficient Sensitivity x1 3.125 7 0 x2 28.125 5 0 x3 0 2 0.75 Constraint Original Slack or Shadow label RHV Surplus Price MachineA 150 0 0.25 MachineB 100 0 1.25 MachineC


LINEAR PROGRAMMING: MODEL FORMULATION AND GRAPHICAL SOLUTION TRUE/FALSE 1. Linear programming is a model consisting of linear relationships representing a firm's decisions given an objective and resource constraints. 2. The objective function is a linear relationship reflecting the objective of an operation. 3.

Linear Programming : Simplex Method

Use Simplex method to solve for the following - See attached file for full problem description. 7x +11y &#8804; 77 10x + 8y &#8804; 80 x &#8804; 9 y &#8804; 6 x &#8805; 0 ; y &#8805; 0

Linear programming

The Outdoor Furniture Corporation manufactures two products, benches and picnic tables, for use in Yards and parks. The firm has two main resources: its carpenters (labor force) and a supply of redwood for use in the furniture. During the next production 1200 labor hours available. 3500 feet of wood Each bench takes

Managerial Accounting Questions

1. A newly opened bed-and-breakfast projects the following: Monthly fixed costs $6000 Variable cost per occupied room per night $20 Revenue per occupied room per night $75 If there are 12 rooms available, what percentage of rooms would have to be occupied, on average, to break even? 2. The relationship d = 5000 - 25p desc


15. Find the correct constraint 3 Let xij = gallons of component i used in gasoline j. Assume that we have two components and two types of gasoline. There are 8,000 gallons of component 1 available, and the demand gasoline types 1 and 2 are 11,000 and 14,000 gallons respectively. Write the supply constraint for component 1.

Tell me more about Linear Programming

1. Graphical Solution A graphical representation of a linear program is shown below. The shaded area represents the feasible region, and the dashed line in the middle is the slope of the objective function. (see diagram in attached file) If this is a maximization, which extreme point is the optimal solution? a) B