Small Motors for Garden Equipment Are Produced at Four Manufacturing $~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { To Plant }$

question 86

Essay

Small motors for garden equipment are produced at four manufacturing facilities and need to be shipped to three plants that produce different garden items (lawn mowers, rototillers, leaf blowers). The company wants to minimize the cost of transporting items between the facilities, taking into account the demand at the three different plants, and the supply at each manufacturing site. The table below shows the cost to ship one unit between each manufacturing facility and each plant, as well as the demand at each plant and the supply at each manufacturing facility.

$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { To Plant }$
$\begin{array}{crrrrr}\text{From Manufacturing Facility} &&A & B & C & Supply\\\hline 1 & & 4 & 4.5 & 3.2 & 200 \\2 & & 3.5 & 3 & 4 & 200 \\3 & & 4 & 3.5 & 4.25 & 300 \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Demand } && 250 & 150 & 200 &\end{array}$


Write the formulation for this problem.

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Definitions:

Environmental Causation

The theory or concept that environmental factors are primary causes or contributors to specific conditions, diseases, or events.

Human Motivation

Human motivation is the psychological drive that propels an individual toward action or behaviors to achieve specific goals or satisfy needs and desires.

Multiple Causation

A principle suggesting that events or phenomena typically result from various factors or causes rather than a single one.

Rogers's Five-Stage Model

A theory that outlines the process of technological adoption in five stages: knowledge, persuasion, decision, implementation, and confirmation.