A Computer Manufacturing Company Wants to Develop a Monthly Plan

question 21

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 matched capacities and requirements. Data on transportation costs (in dollars per unit), capacities, and requirements are given below:
$\begin{array}{ccccc}& \text { Plant } & \text { Plant } & \text { Plant } \\\text { Warehouse } & 1 & 2 & \underline{3}&\text { Requirements }\\X & 2.41 & 1.63 & 2.09 & 8,000 \\\mathrm{Y} & 3.18 & 5.62 & 1.74 & 2,000 \\\mathrm{Z} & 4.12 & 3.16 & 3.09 & 3,000 \\\text { Capacities } & 4,000 & 6,000 & 3,000 &\end{array}$
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 2?

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Definitions:

Clinical Death

Defines death as the moment the heart stops beating.

Anoxia

A condition characterized by an absence of oxygen supply to an organ or a tissue, often leading to damage or dysfunction.

Decreased Percentage

A reduction in the ratio or fraction of a part in comparison to the whole, often expressed in terms of 'per hundred' (percent).

Traffic Accidents

Unforeseen events that occur on the road involving vehicles, pedestrians, or obstacles, leading to injury or damage.