Peaches Are to Be Transported from Three Orchard Regions to Two

question 32

Essay

Peaches are to be transported from three orchard regions to two canneries. Intermediate stops at a consolidation station are possible. $$\begin{array} { | l | c | l | l | c | } \hline \text { Orchard } & \text { Supply } & \text { Station } & \text { Cannery } & \text { Capacity } \\\hline \text { Riverside } & 1200 & \text { Waterford } & \text { Sanderson } & 2500 \\\hline \text { Sunny Slope } & 1500 & \text { Northside } & \text { Millville } & 3000 \\\hline \text { Old Farm } & 2000 & & & \\\hline\end{array}$$ Shipment costs are shown in the table below. Where no cost is given, shipments are not possible. Where costs are shown, shipments are possible in either direction. Draw the network model for this problem. $$\begin{array} { | l | c | c | c | c | c | c | c | } \hline & \mathrm { R } & \text { SS } & \mathrm { OF } & \mathrm { W } & \mathrm { N } & \mathrm { S } & \mathrm { M } \\\hline \text { Riverside } & & 1 & & 5 & & 3 & \\\hline \text { Sunny Side } & & & & 4 & 5 & & \\\hline \text { Old Farm } & & & & 6 & 3 & & \\\hline \text { Waterford } & & & & & 2 & 2 & 4 \\\hline \text { Northside } & & & & & & 5 & 9 \\\hline \text { Sanderson } & & & & & & & 2 \\\hline \text { Millville } & & & & & & & \\\hline\end{array}$$

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Definitions:

Soil Fertility

The quality of soil that enables it to provide essential nutrients to plants for growth, typically influenced by the soil's physical, chemical, and biological properties.

Elemental Iodine

A nonmetallic element in the halogen group, appearing as a dark gray/purple solid at room temperature and used in medicine and nutrition.

Goiter

An abnormal enlargement of the thyroid gland, often resulting in a visible swelling in the neck, which can be caused by iodine deficiency.

Kwashiorkor

A form of malnutrition caused by inadequate protein intake, characterized by edema, stunted growth, and other health issues.