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 normal capacity of $130$ engines per month. Normal output has a cost of $$60$ per engine. The beginning inventory is zero engines. Overtime has a cost of $$90$ per engine. Develop a chase plan that matches the forecast and compute the total cost of your plan. $($Negative amounts should be indicated by a minus sign. Leave no cells blank$-$ be certain to enter $"0"$ wherever required. Omit the $"$$$"$ sign in your response.$)$