Draw the Network for This Transportation Problem

question 54

Essay

Draw the network for this transportation problem.
Min
2X_AX + 3X_AY + 5X_AZ+ 9X_BX + 12X_BY + 10X_BZ
s.t.
X_AX + X_AY + X_AZ ≤ 500
X _BX + X_BY + X_BZ ≤ 400
X_AX + X_BX = 300
X_AY + X_BY = 300
X_AZ + X_BZ = 300
X_ij ≥ 0

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Definitions:

Conversion Costs

The costs incurred to convert raw materials into finished products, including direct labor and manufacturing overhead.

Direct Labor

Workers or employees that are directly involved in the production of goods or services.

Factory Overhead

Costs incurred during the manufacturing process that are not directly tied to the product, including utilities, depreciation of equipment, and salaries of maintenance staff.

Equivalent Units

A calculation used in cost accounting to express the amount of work done on partially finished goods in terms of fully completed units.