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Question Three: (6 marks) Using the following data, we will show the formulation in a transportation format and the final solution. Periods 1 2 3 4 5 6 7 8 Total Expected 400 350 600 420 450 550 350 350 4550 Demand ( units) Output rate 450 450 450 350 450 450 450 350 3400 Costs of output: Regular time = 3 Jd. Per unit Overtime = 5 Jd. Per unit Subcontracting = 10 Jd. Per unit Inventory = 2 Jd. Per unit Hiring = 6 Jd per unit Firing (layoff) = 2 Jd = 2 Jd per unit Back orders = 12 Jd. Per unit/period Allawable quantities of decision variable as a follow: Overtime = 60 units/period Subcontracting = 40 units/period Firing (layoff) = 30 Inventory between periods is allowed, but the Beganing and ending invetory equal zero. Back orders = allowed in any quantity. Required: 1. Prepare the aggregate plan for eight periods. 2. Determine the total cost of the plan including production, inventory, and back orders