A single inventory item is ordered from an outside supplier. The anticipated demand for this item over the next $12$ months is $6,12,4,8,15,25,20,5,10,20,5,12.$ Current inventory is $4$ and ending inventory should be $8.$ Assume a holding cost of $$1$ per period and a setup cost of $$40.$ Determine the order policy for this item based on

a$)$ Silver$-$Meal

b$)$ Least unit cost

c$)$ Part period balancing

d$)$ Which lot$-$sizing method resulted in the lowest cost for the $12$ periods?

a$)-1$ Using Silver Meal, the production quantity in month $2,$ y$2=[]$

a$)-2$ Using Silver Meal, the production quantity in month $4,$ y$4=[]$

a$)-3$ Using Silver Meal, the production quantity in month $10,$ y$10=[]$

b$)-1$ Using Least Unit Cost, the production quantity in month $1,$ y$1=[]$

b$)-2$ Using Least Unit Cost, the production quantity in month $5,$ y$5=[]$

b$)-3$ Using Least Unit Cost, the production quantity in month $12,$ y$12=[]$

c$)-1$ Using Part Period Balancing, the production quantity in month $1,$ y$1=[]$

c$)-2$ Using Part Period Balancing, the production quantity in month $7,$ y$7=[]$

c$)-3$ Using Part Period Balancing, the production quantity in month $10,$ y$10=[]$

d$)-1$ Match the methods and resulting costs.

Question $10$ options:

Part Period Balancing

Least Unit Cost

Silver Meal

$1.$

$ $295$

$2.$

$ $304$

$3.$

$ $299$

d$)-2$ Which lot$-$sizing method resulted in the lowest cost?

Question $11$ options:

Part Period Balancing

Silver Meal

Least Unit Cost