A warehouse has an end-of-period capacity of 3 units.During a period in which production takes place, a setupcost of $4 is incurred. A $1 holding cost is assessed against each unit of a period’s ending inventory. Also, a variableproduction cost of $1 per unit is incurred. During eachperiod, demand is equally likely to be 1 or 2 units. Alldemand must be met on time, and b .8. The goal is tominimize expected discounted costs over an infinite horizon. a Use the policy iteration method to determine an op-timal stationary policy. b Use linear programming to determine an optimalstationary policy.c Perform two iterations of value iteration.

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A warehouse has an end-of-period capacity of 3 units.
During a period in which production takes place, a setup
cost of $4 is incurred. A $1 holding cost is assessed against

each unit of a period’s ending inventory. Also, a variable
production cost of $1 per unit is incurred. During each
period, demand is equally likely to be 1 or 2 units. All
demand must be met on time, and b .8. The goal is to
minimize expected discounted costs over an infinite horizon.

a Use the policy iteration method to determine an op-
timal stationary policy.

b Use linear programming to determine an optimal
stationary policy.
c Perform two iterations of value iteration.

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