Problem 1 1. An isolated air base is supplied with spare parts only once every month when the plane from the depot arrives to replenish supplies and inventory. There are n parts which are stocked at the air base. Just prior to the time the base is to be replenished, it radios to the main depot the on hand inventory of each of the n spare parts. Let yi be the number on hand of item i just prior to replenishment. The plane which brings the spares can carry a volume V and the unit volume of item i is vi. A cost Ti is incurred each time a demand occurs when the base is out of stock. Monthly demand for each of the items is essentially Poisson distributed with mean phi. Set up as a dynamic programming problem the problem of determining the quantity Ii of each item i which should be loaded on the plane, so as to minimize the expected stockout costs for the coming month. 2. Consider the simple version of the above problem which involves only three items, with the following data: V = 15 and Item number Volume v 1 5 2 3 3 4 On hand y Stockout cost a 1 5,000.00 0 2,000.00 2 10,000.00 Mean demand u 1 5 3 Determine the optimal values 21, 22, 23. Problem 1 1. An isolated air base is supplied with spare parts only once every month when the plane from the depot arrives to replenish supplies and inventory. There are n parts which are stocked at the air base. Just prior to the time the base is to be replenished, it radios to the main depot the on hand inventory of each of the n spare parts. Let yi be the number on hand of item i just prior to replenishment. The plane which brings the spares can carry a volume V and the unit volume of item i is vi. A cost Ti is incurred each time a demand occurs when the base is out of stock. Monthly demand for each of the items is essentially Poisson distributed with mean phi. Set up as a dynamic programming problem the problem of determining the quantity Ii of each item i which should be loaded on the plane, so as to minimize the expected stockout costs for the coming month. 2. Consider the simple version of the above problem which involves only three items, with the following data: V = 15 and Item number Volume v 1 5 2 3 3 4 On hand y Stockout cost a 1 5,000.00 0 2,000.00 2 10,000.00 Mean demand u 1 5 3 Determine the optimal values 21, 22, 23