Develop a chase plan that matches the forecast and compute the total cost of your plan. Regular production can be less than regular capacity. (Neqative amounts should be indicated bv a minus sian. Leave no colls hlank - be certain to enter " 0 " wherever \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline & A & B & C & D & E & F & G & H & I & J \\ \hline 1 & & & & & \multicolumn{2}{|c|}{ MONTH } & & & & \\ \hline 2 & & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & Total \\ \hline 3 & Forecat & 120 & 135 & 40 & 120 & 125 & 125 & 40 & 135 & 1040 \\ \hline 4 & & & & & & & & & & \\ \hline 5 & & & & & & & & & & \\ \hline \end{tabular} Manager T. C. Downs of Plum Engines, a producer of lawn mowers and leaf blowers, must develop an aggregate plan given the forecast for engine demand shown in the table. The department has a regular output capacity of 130 engines per month. Regular output has a cost of $60 per engine. The beginning inventory is zero engines. Overtime has a cost of $90 per engine. Click here for the Excel Data File b. Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carrying cost is $2 per engine per month. Backlog cost is $90 per engine per month. There should not be a backlog in the last month. Assume that using overtime is not an option. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter " 0 " wherever required.)