The following questions involve inventory management using the demand data in the table

below for $13$ weeks $($weeks $10-22$ for the year$)$ for one product.

week demand Inventory at end of week

$(280$ at end of week $9)$

$1030$

$1140$

$1230$

$1350$

$1430$

$1540$

$1670$

$1760$

$1850$

$1940$

$2040$

$2130$

$2230$

Suppose inventory is managed with a continuous review system where the reorder point R $=$

$220$ units and the order size Q is $300$ units. There are no previous orders that have not yet been

delivered. The lead time is a constant $4$ weeks. At the beginning of week $10($same as end of

week $9)$ the inventory level is $280$ units. Orders are made at the end of a week.

$(7$ pts$.)($i$)$ Fill in the empty column in the table above with the inventory level at the end of each

week.

$(3$ pts$.)($ii$)$ The next order is made at the end of week

a$)11.$

b$)12.$

c$)13.$

d$)14.$

e$)15.$

f$)$ none of the above.

$(3$ pts$.)($iii$)$ The size of the next order is

a$)170.$

b$)220.$

c$)270.$

d$)280.$

e$)300.$

f$)$ none of the above.