Problem $7-11($Algo$)$

A company experiences annual demand of $2,360$ units for an item that it purchases. The rate of demand per day is very stable, with very little variation from day to day. The item costs $$59$ when purchased in quantities less than $200$ and $$57$ for $200$ items or more. Ordering costs are $$49$ and the carrying cost is $20$ percent.

a$.$ What will be the total costs for each alternative?

b$.$ How much should the company buy each time an order is placed?

c$.$ How much can the company save by placing the order?