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# Linear Programming Models with Constraints

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1.
Which of the following mathematical relationships could be found in a linear programming model? And which could not (why)?
a. -1A + 2B < 70
b. 2A - 2B = 50
c. 1A - 2B2 < 10
d. 3 squareroot A + 2B > 15
e. 1A + 1B = 6
f. 2A + 5B + 1AB < 25

2.
Find the solutions that satisfy the following constraints:
a. 4A + 2B < 16
b. 4A + 2B > 16
c. 4A + 2B = 16

https://brainmass.com/math/linear-programming/llinear-programming-models-constraints-154835

#### Solution Preview

Dear friend,

in linear programming the( in the canonical form) feasible space is defined by intersection of hyperplanes which are in form of inequalities.
In two dimensional space, this hyperplane is a line which should clearly define the boundary of the side of line which is defined by it.

a) -1A + 2B < 70 ...

#### Solution Summary

Linear programming models are investigated.

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