A factory produces four products A,B,C and D which earn $20, $25, $12, and $30 per unit respectively. The factory employs 500 workers who work a 40 hour week. The hours required for each product are set out below:
Products
A B C D
Hours per unit 6 4 2 5
Kgs Material X per unit 2 8.3 5 9
Kgs Material Y per unit 10 4 8 2
Kgs Material Z per unit 1.5 - 2 8
The total availability of materials per week is :
X 100 000 Kgs
Y 65 000 Kgs
Z 220 000 Kgs
The company wishes to maximize contribution. Formulate the LP problem in the standard manner