A manufacturing concern manufactures two products A and B. The products go through three processes: processing, fabrication and assembly. The manufacturing time per unit required to make them, the profit per unit, and the capacity available at each work center are as follows :
WORK CENTER (IN HOURS)
product Machining frabication assembly profit per unit
A 1 5 3 80
B 2 4 1 100
total capacity 720 1800 900
A) Formulate the above information to optimize the profit of the manufacturing concern
B) Find graphical solution.
A)
x is the number of products A, y is the number of products B
Objective: max
B)
Maximum of objective function (profit) is at point :
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