Q$1.(20$ points$)$

Give your definition of ROP, DDLT$,$ and SS and write down the mathematical relationship

between the $3$ variables.

Q$2.(30$ points$)$

The financials for a company is summarized below:

$-$ Purchasing department pays the invoices of suppliers $45$ days after date of invoice

$-$ The customers pay for the goods on the average $30$ days after date of invoice

$-$ The company$$s annual COGS $($cost of goods sold$)1,040,000,000$ TL

$-$ The company$$s average inventory of supply is $90,000,000$ TL

$1)$ What is the average inventory days of supply

$2)$ What is the value of $$Cash$-$to$-$cash cycle time$$ in days

Q$3.(40$ points$)$

Given the below values for a product

Annual Sales $780$ units$/$year

Weekly standard deviation of sales $15$ units

Reorder point $40$ units

Leadtime $2$ weeks

Order size $70$ units

Questions.

$1.$ Plot inventory vs$.$ time graph

$2.$ What is the average weeks of inventory kept $?$

$3.$ What is the inventory turnover ratio $?$

$4.$ What is the value of coefficient of variation of sales?

$5.$ What is the value of demand during leadtime $?$

$6.$ What is the value of safety stock $?$