On an annual requirement of $100$ items spread evenly throughout the year, a purchaser has an opportunity of buying all $100$ units at a price of $$100$ each, or buying $10$ units at a time at a price of $$130.$ If the inventory carrying cost is $20$ percent per year and assuming no ordering costs:

Multiple Choice

buying $100$ at a time will save the company $$3,000$ per year.

buying $100$ at a time will save the company $$2,260$ per year.

buying $100$ at a time will save the company $$2,130$ per year.

buying $10$ at a time will save the company $$1,000$ per year.

buying $10$ at a time will save the company $$870$ per year.