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Linear programming is an important insturment in

1. Linear programming is an important insturment in finding the fieasible and opitmal solutions of obejective functions. Outline and berefiliy define the requirements of linear programming problems(400-450 words) (5pts).

2. Considering a Linear Progrmamming Problem in the standard form that contains n-variables and m- constraints ( assume n>m).

Max U= 3X1+2X2+4X3

s.t 0.3X1+X2+S1=20

0.4X1+X2+S2=40

0.8X1+0.5X2+S3=50

a. How many variables and contsrianints are part of the above problem? Jot down the respective variables and constraints (2pts).

b. Are the number of constraints higher or lower than the number of constrints? If higher , how many Basic Feasible Soulttion are expected to compute?(3pts).

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