David's Delicatessen sells a special Hebrew sausage. The owner, David Gold, estimates that the demand for the sausage is steady at 100 pounds a week. The special sausage costs Mr. Gold $3.00 a pound. The costs of ordering and shipping from the supplier is $50 each order. Gold's accountant, Irving Wu, estimated an annual holding cost of the sausage is 20% of the sausage purchase cost. (52 weeks in a year) a) How many pounds of the special sausage should Gold order each time to minimize the annual costs on holding and ordering? b) Based of result of a), i. what is the highest inventory level? ii. What is the average inventory level and annual inventory cost? iii. How many times will Mr. Gold order each year? iv. Calculate the annual total costs on holding, ordering, and cost to purchase the sausage? c) Recently, Mr. Gold received the following offer from his supplier: If Gold can change his order quantity to order every six months, he can receive a 10% discount on sausage purchase cost i. Should Gold accept the offer? (Cost analysis is required to receive credit.) ii.Assume that sausage can be sold at $5 per pound at regular selling price. However, since sausage is perishable product, Gold has to sell sausage at a discounted price of $4.5/per pound if they have stored in his store for more than 4 months. Should Gold still accept the supplier's offer of ordering twice a year with the 10% discount in purchase price? (Cost analysis is needed to receive credit.