The personnel department of the A&M Corporation wants to know how many workers will be needed each month for the next six-month production period. The following is a monthly demand forecast for the six-month period. The inventory on hand at the end of June was 500 units . Each unit requires five employee-hours to produce, there are 20 working days each month, and each employee works an eight-hour day. The workforce at the end of June was 35 workers. It costs $500 for each worker hired. Severance pay amounts to $1000 per worker. Each employee gets paid $8.00 per hour. It costs $10 per month to hold each unit of inventory. Overtime is NOT allowed. HINT: Determine K in terms of units per day per worker a)Determine a minimum inventory production plan (i. e., one that allows arbitrary hiring and firing). b)Determine the production plan that meets demand but does not hire or fire workers during the six-month period. c)Let’s say subcontracting is allowed. Let’s say we implement the constant workforce with subcontracting plan, what would the cost of subcontracting need to be to beat the cheaper of the two options above? d)Using this subcontracting cost of $50, formulate a LP and solve to optimality for the constraints of this problem I highly recommend solving parts A, B, and C by hand and checking against the excel worksheet.