roblem $2.$ Given the following forecasted demand and production plan, assume

the beginning inventory in January is $100.$ Answer the following questions.

Month Sales Production

January $890890$

February $977877$

March $980900$

April $763763$

May $700690$

June $690800$

$($a$)$ Find out the ending inventory for June. $(2$pt$)$

$($b$)$ If the holding cost is $$2$ per unit per month based on average inventory

and the backorder cost is $$4$ per unit per month, then what is the backorder

cost of the plan? $(1$pt$)$