ANote One may further modify A so as to make full use of the available
raw material Query Can we make a mathematical model with a given B and with fixed quantities of
the available raw material that can help the firm owner to ask the clients to modify their
orders in such a way that the firm makes the full use of its available raw material The answer to this query is given in the following example:
Example 4 Suppose P1, P2, P3 and R1, R2, R3 are as in Example 2 Let the firm has
330 units of R1, 455 units of R2 and 140 units of R3 available with it and let the amount
of raw materials R1, R2 and R3 required to manufacture each unit of the three products
is given by
1
2
3
1
2
3
R
R
R
3
4
0
P
B
P
7
9
3
P
5
12
7




=






How many units of each product is to be made so as to utilise the full available raw
material