It Costs $10 to Make a Single Unit Using Regular

It costs $10 to make a single unit using regular production and $15 to make a single unit using overtime production. Total overtime production is limited to 1000 units for the five-month period. The manufacturing plant has a regular production capacity of 250 units per month and 225 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 600 units ending inventory for any period. What is the minimum cost production plan if the forecast must be met with a zero ending inventory each month? $$\begin{array} { | l | c | } \hline { \text { Month } } & \text { Forecast } \\\hline \text { Tanuary } & 250 \\\hline \text { February } & 200 \\\hline \text { March } & 300 \\\hline \text { April } & 400 \\\hline \text { May } & 500 \\\hline\end{array}$$

A) $15,850
B) $16,150
C) $16,500
D) $16,800