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It Costs $12 to Make a Single Unit Using Regular

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It costs $12 to make a single unit using regular production and $15 to make a single unit using overtime production. Total overtime production is limited to 500 units for the five month period. The manufacturing plant has a regular production capacity of 250 units per month and has 50 units in inventory at the start of the planning period. There is a $5 per unit charge for holding inventory at the end of each month and a limit of 250 units ending inventory for any period. Develop a minimum cost production plan if the forecast must be met and costs must be minimized.
 Month  Forecast  Tanuary 250 February 200 March 300 April 400 May 500\begin{array} { | l | c | } \hline { \text { Month } } & \text { Forecast } \\\hline \text { Tanuary } & 250 \\\hline \text { February } & 200 \\\hline \text { March } & 300 \\\hline \text { April } & 400 \\\hline \text { May } & 500 \\\hline\end{array}


Definitions:

Anecdotal Evidence

Evidence based on personal accounts, observations, or stories, which may not be scientifically proven or reliable.

Reporting Biases

Distortions in reported information, often due to selective revelations or suppression of certain details, which can affect the reliability of data.

Journal Article

A piece of writing published in a scholarly journal, usually peer-reviewed, that presents original research findings or reviews existing research in a specific field.

Sequencing

The arrangement of events, objects, or actions in a particular order or sequence.

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