We have discussed in class aggregate planning using the following data: - cH=$500, cost of hiring one worker - cF=$1000, cost of firing one worker - cI=$80, cost of holding one unit of inventory for one month - k=0.14653 units, aggregate units produced by one worker in one day Suppose the demand forecast and workdays for the next 12 months are shown in the table below. At the beginning of January, there are 500 units in inventory and 300 workers. a) Please find the minimum constant workforce aggregate plan and the total cost of the plan. b) Please find the minimum inventory cost aggregate plan and the total cost of the plan. c) Please find the aggregate plan that minimizes the total cost