A firm manufactures three products, P1, P2 and P3, which it sells to two customers, C1 and C2. The number of items of each product that are sold to these customers is given by

The firm charges both customers the same price for each product according to
.......P1....... P2..... P3
B = [100.... 500.. 200]^T
To make each item of type P1, P2 and P3, the firm uses four raw materials, R1, R2, R3 and R4. The number of tonnes required per item is given by

The cost per tonne of raw materials is
.....R1........R2....R3....R4
D = [20....10....15....15]^T
In addition, let
E = [1 1]
Find the following matrix products and give an interpretation of each one.
(a) AB 

(b) AC 

(c) CD

(d) ACD 

(e) EAB
(f) EACD 

(g) EAB – EACD

Transcribed Image Text:

P1 P2 P3 Ci| 6 9. A C2| 2 R1 R2 P1[1 C = P2 1 P3 0 R3 R4 1 2 1 РЗ 1