Operating from two plants, the Book Equipment Company (BEC) produces bookcases and filing cabinets. Matrix A summarizes its production for a week, with row 1 representing the number of bookcases and row 2 representing the number of filing cabinets. Matrix B gives the production for the second week, and matrix C that of the third and fourth weeks combined.

If column 1 in each matrix represents production from plant 1 and column 2 represents production from plant 2, answer the following.
(a) Write a matrix that describes production for the first 2 weeks.
(b) Find a matrix that describes production for the first 4 weeks.
(c) If matrix D

describes the shipments made during the first week, write the matrix that describes the units added to the plants' inventories in the first week.
(d) If D also describes the shipments during the second week, describe the change in inventory at the end of two weeks. What happened at plant 1?

Transcribed Image Text:

50 30 B = 30 45 96 52 44 22 36 37 81 62 40 26 D= 29 42