Why do we use inequalities? Give a scenario that could use linear programming. What do the vertices of the system determine?


  1. Answer:
    Hi I provided some answers down below, I hope it helps. Let me know
    Step-by-step explanation:
    Inequalities are used to represent constraints in linear programming problems. Linear programming is a mathematical technique for finding the maximum or minimum value of a linear objective function subject to a set of linear constraints.
    A scenario that could use linear programming is a company trying to decide how much of each product to produce in order to maximize profit. The company has limited resources such as labor and materials, and each product has a different cost and profit margin. The company can use linear programming to find the optimal production levels that will maximize profit while staying within the constraints of the available resources.
    The vertices of the system (also known as the feasible region) in a linear programming problem determine the set of all possible solutions that satisfy the constraints of the problem. The optimal solution will be located at one of the vertices of the feasible region.

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