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A mathematical model was created and solved using linear programming. The optimal values were determined: x1 = 10 and x2 = 10. If one of the constraints is: 4x1 + 2x2 >= 55, you can conclude that:
A.this is a binding constraint, so there is no slack or surplus

B.there are 15 units of surplus

C.there are 15 units of slack

D.there are 5 units of slack

E.there are 5 units of surplus

Sagot :

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In mathematics, linear programming is a technique for maximizing operations under certain restrictions.

Why does a mathematical model of a linear programming problem is important?

Using the mathematical modeling technique of linear programming, a linear function is maximized or minimized depending on the restrictions it is subjected to. This method has proved helpful for directing quantitative judgments in business planning, industrial engineering, and—to a lesser extent—in the social and physical sciences.

In mathematics, linear programming is a technique for maximizing operations under certain restrictions. Maximizing or minimizing the numerical value is the primary goal of linear programming. It comprises of linear functions that are subject to restrictions in the form of inequalities or linear equations.

Therefore, the correct answer is option A. this is a binding constraint, so there is no slack or surplus.

To learn more about linear programming refer to:

https://brainly.com/question/14309521

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