Consider the Transportation Problem in the Data Set and Optimal

question 58

Essay

Consider the transportation problem in the data set and optimal solution below. Verify by hand or by calculator (show your work) the value of the objective function.
$\begin{array}{|l|r|r|r|r|r|}\hline \text { COSTS } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest 4 } & \text { Supply } \\\hline \text { Source 1 } & 12 & 18 & 9 & 11 & 100 \\\hline\text { Source 2 } & 21 & 7 & 30 & 15 & 150 \\\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \\\hline\text { Demand } & 80 & 60 & 70 & 90 & 300/300 \\\hline & & & & & \\\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text {Row Total } \\\text { Source 1 } & 30 & 0 & 70 & 0 & 100 \\\text { Source 2 } & 0 & 60 & 0 & 90 & 150 \\\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \\\text { Col. Total } & 80 & 60 & 70 & 90 & 300/300 \\\hline\end{array}$

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Definitions:

Photoperiod

The period of time each day during which an organism is exposed to daylight, often influencing biological rhythms and behaviors.

Challenge Hypothesis

A theory suggesting that male testosterone levels increase in response to social challenges related to mating and aggression.

Testosterone

A steroid hormone that plays a key role in the development of male reproductive tissues, secondary sexual characteristics, and influences behavior.

Natural Selection

A process by which organisms better adapted to their environment tend to survive and produce more offspring.