For Exercises 12.41 and 12.42, see page 636; and for 12.43 and 12.44, see page 638.

Question 12.41

12.41 Unpaid invoices.

The controller's office of a corporation is concerned that invoices that remain unpaid after 30 days are damaging relations with vendors. To assess the magnitude of the problem, a manager searches payment records for invoices that arrived in the past 10 months. The average number of invoices is 2875 per month, with relatively little month-to-month variation. Of all these invoices, 960 remained unpaid after 30 days.

  1. What is the total number of opportunities for unpaid invoices? What is ?
  2. Give the center line and control limits for a chart on which to plot the future monthly proportions of unpaid invoices.

12.41

(a) 28750. . (b) .