The feasible solution which maximizes or minimizes the objective function is called:
Correct answer: A. Optimal solution
- A. Optimal solution
- B. Feasible solution
- C. Linear solution
- D. Quintic solution
Explanation
The correct option is a) Optimal solution.The optimal solution is the feasible solution that maximizes or minimizes the objective function. It represents the best possible outcome or decision that can be made within the given constraints of the problem.The objective function is a mathematical expression that needs to be optimized (maximized or minimized) in an optimization problem. The optimal solution is the point or set of values that provides the maximum or minimum value of the objective function while satisfying all the constraints.In mathematical form, the optimal solution can be represented as:Maximize/Minimize Z = f(x1, x2, ..., xn)Subject to:g1(x1, x2, ..., xn) ≤ b1g2(x1, x2, ..., xn) ≤ b2...gm(x1, x2, ..., xn) ≤ bmx1, x2, ..., xn ≥ 0Where:Z is the objective functionf(x1, x2, ..., xn) is the objective functiong1, g2, ..., gm are the constraint functionsb1, b2, ..., bm are the constraint valuesx1, x2, ..., xn are the decision variablesThe optimal solution is the set of values for the decision variables (x1, x2, ..., xn) that maximizes or minimizes the objective function Z while satisfying all the constraints.
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Linear equations contain variables only to the first power and produce straight-line relationships when represented graphically. Problems involve solving equations with brackets, fractions, and variables on both sides, forming equations from statements, and handling simultaneous linear equations, which differ from quadratic equations by having no squared variable.
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