3. Pooling Distribution (15 points) A manufacturer (called 'manufacturer A') is reviewing its stocking and replenishment policy for a commodity component used for the production of lawn mowers. A single unit of the component is used for each lawn mower, and the average production rate is of 30 lawn mowers per day. (The manufacturing plant is open 365 days per year.) Components are shipped to the manufacturer in a truck, and each time an order is placed it costs the manufacturer $240 to place the order (as long as the quantity purchased is lower than the truck's capacity of 600 units). It costs about $20 to hold a unit of a component in stock for one year