The manager of a small supermarket wishes to schedule its milk deliveries for the next 4...

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The manager of a small supermarket wishes to schedule its milk deliveries for the next 4 days. Milk is measured in "cages" and the supermarket has fridge space for 4 cages. It currently has no stock. Demand is 1 cage per day. Deliveries are made in the early hours of the morning at a cost of 2 + 5d (where d is the order size). The order quantity for the next day is made just after this day's delivery. Refrigeration costs are 1 per cage (measured at the end of the day and excluding the final day). Assume that any remaining milk at the end of the time period is worthless. a) Use a Dynamic Programming model to determine the schedule of milk deliveries that will minimise the total cost over a period of 4 days. b) Clearly define the stages, states within each stage and decision/policy in the DP model developed in part (a). c) Define the Dynamic Programming model of the problem above with an expression for the base case and a recursive case. The manager of a small supermarket wishes to schedule its milk deliveries for the next 4 days. Milk is measured in "cages" and the supermarket has fridge space for 4 cages. It currently has no stock. Demand is 1 cage per day. Deliveries are made in the early hours of the morning at a cost of 2 + 5d (where d is the order size). The order quantity for the next day is made just after this day's delivery. Refrigeration costs are 1 per cage (measured at the end of the day and excluding the final day). Assume that any remaining milk at the end of the time period is worthless. a) Use a Dynamic Programming model to determine the schedule of milk deliveries that will minimise the total cost over a period of 4 days. b) Clearly define the stages, states within each stage and decision/policy in the DP model developed in part (a). c) Define the Dynamic Programming model of the problem above with an expression for the base case and a recursive case.

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