Solve the Following Transportation Problem Using the Transportation Simplex Method

question 35

Essay

Solve the following transportation problem using the transportation simplex method. State the minimum total shipping cost. $$\begin{array} { c c | c c } \text { Origin } & \text { Supply } & \text { Destination } & \text { Demand } \\\hline \text { A } & 500 & \mathrm { X } & 300 \\\mathrm {~B} & 400 & \mathrm { Y } & 300 \\& & \mathrm { Z } & 300\end{array}$$ Shipping costs are: $$\begin{array} { c | c c c } && { \text { Destination } } \\\text { Source } & \mathrm { X } & \mathrm { Y } & \mathrm { Z } \\\hline \mathrm { A } & 2 & 3 & 5 \\\mathrm {~B} & 9 & 12 & 10\end{array}$$

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Definitions:

π Molecular Orbitals

Orbitals formed by the overlap of p orbitals on adjacent atoms, allowing for the delocalization of electrons over several atoms in a molecule.

Substituted Cyclobutadiene

A derived form of cyclobutadiene where hydrogen atoms are replaced with other atoms or groups, influencing its reactivity and stability.

Computational Methods

Techniques that use computer-based algorithms and simulations to solve complex scientific and mathematical problems.

Resonance Structures

Representations of a molecule where bond arrangements are shown through multiple structures to depict a molecule's electronic structure.