For Exercises 11.1 and 11.2, see page 533; for 11.3 and 11.4, see page 535; for 11.5 and 11.6, see page 537; for 11.7 and 11.8, see page 538; for 11.9 and 11.10, see page 541; for 11.11 to 11.14, see pages 543–544; and for 11.15 and 11.16, see page 544.

Question 11.2

11.2 Needs of the Department of Mathematics.

The Department of Mathematics has 1 department head, 57.5 faculty, 2 managers, 49.75 administrators and lecturers, 198.74 graduate assistants, and 10.64 clerical and service workers.

  1. Find the office needs for the Mathematics Department that are predicted by the model.
  2. The actual office space for this department is 27,326 ft2. Find the residual and explain what it means in a few sentences.