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Unformatted text preview: redients x1 and x2 daily. x1 costs Rs.3 per kg. and x2 Rs.8 per kg. No more than 80 kg. of x1 can be used and at least 60 kg. of x2 must be used. Formulate a mathematical model to the problem. Solution:
Solution: Minimize Z = 3x1 + 8x2
Subject to x1 + x2 >= 200 x1 <= 80 x2 >= 60 X1 >= 0 , x2 >= 0 Graphical Solution
Graphical Solution Formulate the problem
Convert all inequalities to equations
Plot the graph of all inequalities
Find out the feasilble region
Find out the corner points
Substitute the objective function
Arrive at the solution Problem:
Maximize Z = 60x1+50x2 subject to 4x1+10x2 <= 100 2x1+1x2 <= 22 3x1+3x2 <= 39
x1,x2 >= 0 Solution :...
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- Spring '13