A company manufactures three products A, B and C, which require three raw materials I, II and III. The table given below shows the amount of raw materials required per kg of each product. The resource availability per day and the profit contribution for each product is also given.
Product A B C Availability (kg)
Raw material
I
II
III
4
5
2 1
6
4 6
8
1 800
1500
1200
Profit per unit (Rs)
9 10 6
(i) Formulate the problem as a linear programming Problem.
(ii) Solve the problem and determine the optimal product mix.
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