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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.
 COSTS  Dest. 1  Dest. 2  Dest. 3  Dest 4  Supply  Source 1 1218911100 Source 2 2173015150 Source 3 810141650 Demand 80607090300/300 Shipments  Dest. 1  Dest. 2  Dest. 3  Dest. 4 Row Total  Source 1 300700100 Source 2 060090150 Source 3 5000050 Col. Total 80607090300/300\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}

Comprehend the role of beginning and end work in process inventories in the calculation of equivalent units and cost per equivalent unit under the weighted-average method.
Understand the concept of work in process inventory and how to calculate ending units.
Grasp the calculation of equivalent units for conversion costs and materials within a processing department.
Comprehend how to calculate the cost per equivalent unit for both conversion costs and materials.

Definitions:

Causal Factor

An element or factor that brings about a change or results in a particular effect or outcome.

Necessary Condition

a prerequisite that must be met for a certain event or outcome to occur.

Sufficient Condition

A condition or set of conditions that will ensure the occurrence of a particular outcome.

Sufficient Condition

A condition or set of conditions that guarantees the occurrence or the truth of something else but is not always necessary for it to happen.

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