A Cargo Airline Company in South America Ferries Materials from Four

question 38

Essay

A cargo airline company in South America ferries materials from four different airfields in Brazil called (A, B, C, and D) to two different airfields in Peru numbered (1 and 2). Distances in hundreds of miles between the six different airfields are as shown below:
$\begin{array}{ccccc}&&\text { Brazil }\\ \underline{\text {Peru }}& \underline{\text {A}}& \underline{\text {B}}& \underline{\text {C}}& \underline{\text {D}}\\1 & 2 & 6 & 17 & 5 \\2 & 12 & 8 & 12 & 9 \\\text { Capacities } & 60 & 40 & 75 & 5\end{array}$
Requirements for airfield 1 are 140 tons per year and 80 tons per year for airfield 2. The president of the airline wants to determine how much material should be shipped from each airfield in Brazil to each airfield in Peru so as to minimize total travel distance.
a. How many decision variables are there in this problem?
b. What is the constraint corresponding to airfield 1?
c. What is the constraint corresponding to airfield B?

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Definitions:

Genus

In biology, a rank used in the classification of organisms that groups together species sharing common characteristics; in logic, it refers to a general term that describes a broad category.

Differentia

This refers to the traits or attributes that allow us to distinguish between different species within the same genus.

Genus

In biology, the rank in the classification hierarchy that is above species and below family, used to group species that share common characteristics.

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