, if the clients agree to reduce their purchase orders, then
A1 B = 
3
4
0
9
12
6
7
9
3
10
20
0
5
12
7



 


 


 



  = 



141
216
78
170
220
60
Rationalised 2023-24
MATHEMATICAL MODELLING        201
This requires 311 units of R1, 436 units of R2 and 138 units of R3 which are well
below the available raw materials, i e , 330 units of R1, 455 units of R2 and 140 units of
R3 Thus, if the revised purchase orders of the clients are given by A1, then the firm
can easily supply the purchase orders of the two clients