Please only experts!! Written answers and explanations are needed.

Problem 1 (70 points). Harley purchases from supplier A are priced at $5 each and used at the rate of 25,000 units per month. Components purchased from supplier B are priced at $6 each and are used at the rate of 12,500 units per month. Components purchased from supplier C are priced at $8 each and used at the rate of 7,500 units per month. Currently, Harley purchases a separate truckload from each supplier. As part of its just-in-time manufacturing drive, Harley has decided to aggregate purchases from the three suppliers. The trucking company charges a fixed cost of $500 for the truck with an additional charge of $125 for each stop. Thus, if Harley asks for a pickup from only one supplier, the trucking company charges $625; from two suppliers, it charges $750; and from three suppliers, it charges $875. Harley incurs a holding cost of 30 percent per year. (a) Assume Harley orders separately from each supplier. What is the cycle inventory for each product, what is the total annual cost of inventory (holding and ordering) for each product and the total inventory costs for the three products? (30 points) (b) Assume Harley aggregates purchases from all three suppliers. What is the cycle inventory of each product and what is the total annual cost of inventory (holding and ordering)? How much is the difference in total inventory costs compared to the individual ordering case in part a? (40 points)