$2.$ Askov Finlayson, a local $$ Minneapolis$-$based$-$ winter outfit manufacturer, produces a line of winter parkas. There are currently $3$ temporary employees and $12$ full$-$time employees to produce parkas. More temporary employees can be hired if additional production capacity is needed. Each full time employee can produce $205$ parkas, whereas each temporary employee can produce $165$ parkas per month. Demand for parkas for the next four months is as follows: October November December January $3,2002,8003,1003,000$ i$.$ Beginning inventory in October is $403$ parkas. Each parka cost $$40$ to produce and the annual holding cost is $24\%$ of the unit production cost. Develop an aggregate plan that uses the $12$ full$-$time employees each month and a minimum number of temporary employees. Assume that all employees will produce at their full potential each month. $(15$ points$)$ ii$.$ Calculate the inventory holding cost associated with your aggregate plan based on the planned end of month inventory $($i$.$e$.,$ ending inventory in each month$).(5$ points$)$