Bond Brothers, a real estate developer, builds single-family houses in California, Arizona, and Nevada. The proposed number of units (in hundreds) of each model to be built in each state is given by the matrix A.

				Model
			I	II	III	IV
	CA		21	15	13	10
A =	AR		15	13	6	3
	NV		14	17	11	8

The estimated profits (in thousands of dollars) for each model in California, Arizona, and Nevada are represented by the matrices B, C, and D, respectively.

B =	I		60
	II		70
	III		90
	IV		120

C =	I		45
	II		55
	III		70
	IV		90

D =	I		40
	II		45
	III		60
	IV		80

(a)

Let E =

1 0 0

and find

(EA)B.

(EA)B

=

Interpret your result.

The result shows the estimated profits for Model I in California.The result shows the estimated profits for each model type in California. The result shows the estimated profits for Model I in all three states.The result shows the estimated profits for each model type in Arizona.The result shows the total estimated profits for all construction in California.

(b)

Let F =

0 1 0

and find

(FA)C.

(FA)C

=