A Manager Has Prepared a Forecast of Expected Aggregate Demand $$\begin{array} { l l } \text { Month } & \text { Forecast } \\\hline 1 & 80 \\2 & 100 \\3 & 120 \\4 & 110 \\5 & 100 \\6 & 90\end{array}$$

A manager has prepared a forecast of expected aggregate demand for the next six months. Develop an aggregate plan to meet this demand given this additional information: A level production rate of 100 units per month will be used. Back orders are allowed, and they are charged at the rate of $8 per unit per month. Inventory holding costs are $1 per unit per month in ending inventory. Determine the cost of this plan if regular time cost is $20 per unit and beginning inventory is zero. $$\begin{array} { l l } \text { Month } & \text { Forecast } \\\hline 1 & 80 \\2 & 100 \\3 & 120 \\4 & 110 \\5 & 100 \\6 & 90\end{array}$$