Finnish Furniture manufactures tables in facilities located in three cities- Reno, Denver, and Pittsburgh. The tables are then shipped to three retail stores located in Phoenix, Cleveland, and Chicago. Management wishes to develop a distribution schedule that will meet the stores' demands at the lowest possible cost. The shipping cost per unit from each of the sources to each of the destinations is shown in the following table: TO FROM PHOENIX CLEVELAND CHICAGO RENO 10 16 19 DENVER 12 14 13 PITTSBURGH 12 18 12 The available supplies are 120 units from Reno, 200 from Denver, and 160 from Pittsburgh. Phoenix has a demand of 140 units, Cleveland has a demand of 160 units, and Chicago has a demand of l180 units. A. Formulate the above problem to a complete Linear Programming Model B. How many units (initial table/solution) should be shipped from each manufacturing facility to each of the retail stores using Vogel's Approximation Model (VAM)? C. What is the minimum total cost?

Finnish Furniture manufactures tables in facilities located in three cities- Reno, Denver, and Pittsburgh. The tables are then shipped to three retail stores located in Phoenix, Cleveland, and Chicago. Management wishes to develop a distribution schedule that will meet the stores' demands at the lowest possible cost. The shipping cost per unit from each of the sources to each of the destinations is shown in the following table: TO FROM PHOENIX CLEVELAND CHICAGO RENO 10 16 19 DENVER 12 14 13 PITTSBURGH 12 18 12 The available supplies are 120 units from Reno, 200 from Denver, and 160 from Pittsburgh. Phoenix has a demand of 140 units, Cleveland has a demand of 160 units, and Chicago has a demand of l180 units. A. Formulate the above problem to a complete Linear Programming Model B. How many units (initial table/solution) should be shipped from each manufacturing facility to each of the retail stores using Vogel's Approximation Model (VAM)? C. What is the minimum total cost?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

Finnish Furniture manufactures tables in facilities located in three cities-
Reno, Denver, and Pittsburgh. The tables are then shipped to three retail
stores located in Phoenix, Cleveland, and Chicago. Management wishes to
develop a distribution schedule that will meet the stores' demands at the
lowest possible cost. The shipping cost per unit from each of the sources to
each of the destinations is shown in the following table:
TO
FROM
PHOENIX CLEVELAND
CHICAGO
RENO
10
16
19
DENVER
12
14
13
PITTSBURGH
12
18
12
The available supplies are 120 units from Reno, 200 from Denver, and 160
from Pittsburgh. Phoenix has a demand of 140 units, Cleveland has a
demand of 160 units, and Chicago has a demand of 180 units.
A. Formulate the above problem to a complete Linear Programming Model
B. How many units (initial table/solution) should be shipped from each
manufacturing facility to each of the retail stores using Vogel's
Approximation Model (VAM)?
C. What is the minimum total cost?

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