Question $6(4$ points$)$:

The operations manager of a large manufacturer received a certain number of complaints during the last two weeks.

a$.$ Construct a control chart with three$-$sigma limits for the number of complaints received each day using the following data. Is the process in control?

b$.$ If $16$ complaints are received today $($day $15),$ using the control chart of part a$,$ is

there a change in the average number of complaints per day

$\backslash$table$[[,$Day$],[,,34567,89,910,011,,,314],[$Number of complaints,$41014,48965,1213,13,76,,4,210]]$

Question $7(7$ points$)$:

Problem: A manufacturing unit expects to sell approximately $100$ hoses next year. Annual holding cost is $$10$ per hose and ordering cost is $$20$ per hose. Manufacturing unit operates $360$ days a year and has enough storage space.

What is EOQ?

How many times per year would the manufacturing unit reorder if EOQ units are order each time?

What is the length of an order cycle if EOQ units are ordered each time?

What is the total annual inventory control cost if EOQ units are ordered each time?