### Linear Programming Sensitivity Analysis

Explain the connection between reduced costs and the range of optimality, and between dual prices and the range of feasibility.

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Explain the connection between reduced costs and the range of optimality, and between dual prices and the range of feasibility.

(See attached file for full problem description) In the graph area problems looking for the steps --- 1. The maximization or minimization of a quantity is the a. goal of management science. b. decision for decision analysis. c. constraint of operations research. d. objective of linear programming. 2. Which of

A mathematical programming system named SilverScreener uses a 0-1 integer programming model to help theater managers decide which movies to show on a weekly basis in a multiple-screen theater (Interfaces, May/June 2001). Suppose that management of Valley Cinemas would like to investigate the potential of using a similar scheduli

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I need help in solving this linear programming model, specifically in identifying the different constraints for the problem. --- The Goliath Tool and Machine Shop produces a single product consisting of three sub-components that are assembled to form the product. The three components are manufactured in an operation involvin

I need help finding the constraints for this problem as well as solutions to part b and c. --- Wal-Mart, a discount store chain, is planning to build a new store in Rock Springs, Maryland.. The parcel of land the company owns is large enough to accommodate a store with 140,000 square feet of floor space. Based on marketing a

I need help finding the constraints for this problem as well as solutions to part d and c. (See attached file for full problem description) --- Benson Electronics manufactures a number of components and products for a variety of commercial applications. Each product places different demands on the various departments wit

Please formulate the constraints for this problem as well as solutions to parts c and d. --- Round Tree Manor is a hotel that has two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit contribution per night for each type of room and rental class is as follows: (see attached file for

I need help finding the constraints to this problem. Also I need help understanding part b. --- The Thompson Furniture Company produces inexpensive tables and chairs using a production process common for both products. Each table requires 4 hours in the carpentry department and 2 hours in the painting and varnishing departme

Consider the following linear programming problem: Maximize 2x1 + 3x2 + 5x3 Subject to x1 + 2x2 + 3x3 ≤ 8 x1 - 2x2 + 2x3 ≤ 6 x1, x2, x3 ≥ 0 a. Write the dual problem b. Solve the foregoing proble

The Androgynous Bicycle Company (ABC) has the hottest new products on the upscale toy market -- boys' and girls' bicycles in bright fashion colors, with oversized hubs and axles, shell design safety tires, a strong padded frame, chrome-plated chains, brackets and valves, and a non-slip handlebar. Due to the seller's market for h

The seasonal yield of olives in a Pireaus, Greece, vineyard is greatly influenced by a process of branch pruning. If olive trees are pruned every two weeks, output is increased. The pruning process, however, requires considerably more labor than permitting the olives to grow on their own and results in a smaller size olive. It a

PharmaPlus operates a chain of 30 pharmacies. The pharmacies are staffed by licensed pharmacists and pharmacy technicians. The company currently employs 85 full-time equivalent pharmacists (combination of full time and part time) and 175 full-time equivalent technicians. Each spring management reviews current staffing levels and

I need a formulation and solution to finding extreme points. (See attached file for full problem description) 1. ABC wants to plan its electricity capacity for the next T years. ABC has a forecast of dt megawatts for electricity during year t = 1,... T. The existing capacity which is in the form of oil-fired plants will

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_______ 1. Linear programming models have decision variables for measuring the level of activity. _______ 2. In a transportation problem, a demand constraint for a specific destination represents the amount of product demanded by a given destination (customer, retail outlet, store). _______ 3. In a problem involving c

The Department of Management Science and Information Technology at Tech The management science and information technology department at tech offers between 36 and 40 three-hour course sections each semester. Some of the courses are taught by graduate student instructors, whereas 20 of the course sections are taught by the 10

True or False 1. The 3 types of integer programming models are total, 0 - 1, and mixed. 2. In a mixed integer model, all decision variables have integer solution values. 3. A rounded-down integer solution can result in a more than optimal solution to an integer programming problem. 4. If we are solving a 0-1 i

4. Calculate the cost at each of the points of intersection, including the intercepts. Then compare these values and pick the one that is the least. a. The value of the cost function at the 1st point of intersection is: b. The value of the cost function at the 2nd point of intersection is: c. The value of the cost function

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

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

NOTE: This may be more of a "non-linear dynamics" problem than an ODE one. Here goes... I've recently been toying around with this system: x' = y*e^{-(x^2+y^2)} y' = -x*e^{-(x^2+y^2)} // (where "e^" denotes the exponential function) I've noticed strange behavior that I can't seem to explain. I used a progr

Max Z = 3x1 + 5x2 s.t. 7x1 + 12x2 <= 136 3x1 + 5x2 <= 36 x1, x2 >=0 and interger Find the optimal solution put your answer int he form of a solution for Z= enter xx only

Find the complete optimal solution to this linear programming problem. Min 5X + 6Y s.t. 3X + Y >= 15 X + 2Y >= 12 3X + 2Y >= 24 X,Y >=0 x=3,y=3,z=48,s1=6,s2=0,s3=0 x=6,y=3,z=48,s1=6,s2=0,s3=0 x=3,y=6,z=48,s1=3,s2=0,s3=0 x=6,y=3,z=52,s1=6,s2=0,s3=0 I think the correct answer is x=3,y=6,

Problem: A company makes products C and D from 2 resources, labor and material. The company wants to determine the selling price which will maximize profits. One unit of C costs $30 to make and demand is estimated to be 50 - .09 * Price of C. One unit of D costs $20 to make and demand is estimated to be 30 - .14 * Price of

Explain the following statement with an example: the optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem. Do you agree with the following two questions? 1. Why should the optimal solution of any Linear Programming solution be lying at the corner points of t

1. A company makes three products, A, B, and C. There are 500 pounds of raw material available. Each unit of product A requires 2 pounds of raw material, each unit of product B requires 2 pounds of raw material, and each unit of product C requires 3 pounds. The assembly line has 1,000 hours of operation available. Each unit

Use branch and bound to solve the IPs max z= 5x1 + 2x2 s.t. 3x1 + x2 =< 12 x1 + x2 =< 5 x1, x2 >= 0 (integer)