Peaches Are to Be Transported from Three Orchard Regions to Two

question 11

Essay

Peaches are to be transported from three orchard regions to two canneries.Intermediate stops at a consolidation station are possible. $$\begin{array} { | l | c | c | c | c | } \hline \text { Orchard } & \text { Supply } & \text { Station } & \text { Cannery } & \text { Capacity } \\\hline \text { Riverside } & 1200 & \text { Waterford } & \text { Sanderson } & 2500 \\\hline \text { Sunny Slope } & 1500 & \text { Northside } & \text { Millville } & 3000 \\\hline \text { Old Farm } & 2000 & & & \\\hline\end{array}$$ 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. $$\begin{array} { | l | c | c | c | c | c | c | c | } \hline & \mathrm { R } & \mathrm { SS } & \mathrm { OF } & \mathrm { W } & \mathrm { N } & \mathrm { S } & \mathrm { M } \\\hline \text { Riverside } & & 1 & & 5 & & 3 & \\\hline \text { Sunny Side } & & & & 4 & 5 & & \\\hline \text { Old Farm } & & & & 6 & 3 & & \\\hline \text { Waterford } & & & & & 2 & 2 & 4 \\\hline \text { Northside } & & & & & & 5 & 9 \\\hline \text { Sanderson } & & & & & & & 2 \\\hline \text { Millville } & & & & & & & \\\hline\end{array}$$

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Definitions:

Tax

A required economic dues or other form of assessment exacted from a taxpayer by government authorities meant to finance government activities and assorted public costs.

Excess Supply

Occurs when the quantity of a good or service supplied is greater than the quantity demanded at a given price.

Supply Function

A mathematical expression representing how the quantity supplied of a good is influenced by its price and possibly other factors.

Demand Function

A mathematical expression that describes the relationship between the quantity of a good demanded and its price.