On an annual requirement of $150$ items spread evenly throughout the year, a purchaser has an opportunity of buying all $150$ units at a price of $$175$ each, or buying $10$ units at a time at a price of $$200.$ If the inventory carrying cost is $20$ percent per year and assuming no ordering costs

buying $10$ at a time will save the company $$2,450$ per year

buying $150$ at a time will save the company $$1,325$ per year

buying $150$ at a time will save the company $$3,750$ pear

buying $10$ at a time will save the company $$2,130$ per year