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Consider the Transportation Problem in the Data Set and Optimal

question 95

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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 1218911105 Source 2 1973015145 Source 3 810141650 Demand 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 & 105 \\\hline \text { Source 2 } & 19 & 7 & 30 & 15 & 145 \\\hline \text { Source 3 } & 8 & 10 & 14 & 16 & 50 \\\hline \text { Demand } & 80 & 60 & 70 & 90 & 300/300 \\\hline\end{array}

 Shipments  Dest. 1  Dest. 2  Dest. 3  Dest. 4  Row Total  Source 1 300705105 Source 2 060085145 Source 3 5000050 Col. Total 80607090300\300\begin{array}{|lrrrrr|}\hline \text { Shipments } & \text { Dest. 1 } & \text { Dest. 2 } & \text { Dest. 3 } & \text { Dest. 4 } & \text { Row Total } \\\text { Source 1 } & 30 & 0 & 70 & 5 & 105 \\\text { Source 2 } & 0 & 60 & 0 & 85 & 145 \\\text { Source 3 } & 50 & 0 & 0 & 0 & 50 \\\text { Col. Total } & 80 & 60 & 70 & 90 & 300 \backslash 300 \\\hline\end{array}

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Definitions:

Alternative Hypothesis

The hypothesis that proposes a difference or effect, in contrast to the null hypothesis, which assumes no effect or difference.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, often denoted by alpha (α).

Alternative Hypothesis

A hypothesis that contradicts the null hypothesis, indicating that there is a significant difference between specified populations.

Significance Level

Another term for level of significance, denoting the cutoff probability for determining when the p-value indicates a statistically significant result.

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