Please show all your work.

X-Prod Co. has the following AR balance pattern:

65% sales from current month

25% sales from 1 month prior

10% sales from 2 months prior

0% sales from 3 months prior

Sales in thousands are:

May $9,000;

April $10,000;

March $8,000

February $10,000

QUESTION(s)

a. What is the AR balance at the end of May?

b. Given this AR balance pattern, what is the firms collection pattern of current & previous sales each month?

c. Given the collection pattern you find in b., what would be the total cash inflows from sales collected be in May?