Problem $7-15($Algo$)$

Michigan State Figurine Inc. $($MSF$)$ sells crystal figurines to Spartan fans. MSF buys the figurines from a manufacturer for $$12$ per unit. They send orders electronically to the manufacturer, costing $$25$ per order and they experience an average lead time of seven days for each order to arrive from the manufacturer. Their inventory carrying cost is $20$ percent. The average daily demand for the figurines is four units per day. They are open for business $250$ days a year. Answer the following questions:

a$.$ How many units should the firm order each time? Assume there is no uncertainty at all about the demand or the lead time. $($Do not round intermediate calculations. Round up your answer to the next whole number.$)$

Number of units

b$.$ How many orders will they place in a year?

Number of orders per year

c$.$ What is the average inventory? $($Round your answer to $1$ decimal place.$)$

Average inventory

units