A Computer Manufacturing Company Wants to Develop a Monthly Plan

question 50

Essay

A computer manufacturing company wants to develop a monthly plan for shipping finished products from three of its manufacturing facilities to three regional warehouses.It is thinking about using a transportation LP formulation to exactly match capacities and requirements.Data on transportation costs (in dollars per unit),capacities,and requirements are given below.​
Warehouse
Plant 1 2 3 Capacities
A 2.41 1.63 2.09 4,000
B 3.18 5.62 1.74 6,000
C 4.12 3.16 3.09 3,000
Requirement 8,000 2,000 3,000
​
a.How many variables are involved in the LP formulation?
b.How many constraints are there in this problem?
c.What is the constraint corresponding to Plant B?
d.What is the constraint corresponding to Warehouse 3?

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Definitions:

Function

A relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

Vertices

Plural of vertex, referring to the corners or angular points where two or more edges meet in a geometrical shape or graph.

Center

In geometry, it refers to the midpoint of a circle or sphere, equidistant from all points on the perimeter or surface.

Standard Form

A way of writing down very large or very small numbers easily. In algebra, it refers to the usual way of writing down equations, focusing on linear equations with the general form Ax + By = C.