A company is manufacturing two products A and B. Both of them require machining on lathe and milling machine. The machining time for the respective products, profits and time available on machines are given below. Determine the numbers of A and B that should be manufactured to maximize the profit, and determine the value of this profit:
|
Product
|
A
|
B
|
Time available
|
|
Lathe
|
3
|
2
|
1200
|
|
Milling machine
|
2
|
6
|
1800
|
|
Profit/piece
|
3
|
8
|
|
|
|
x
|
y
|
|