Decision Making & Problem Solving in Business
Classified in Mathematics
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Decision Making and Problem Solving
Defining the Process
Problem Solving: Identifying the difference between the actual and desired state of affairs, and taking action to resolve the difference.
Decision Making: Defining the problem, identifying alternatives, determining criteria, evaluating alternatives, and choosing an alternative.
Types of Decision Problems
Single-Criterion Decision Problem: Finding the best solution based on one criterion.
Multicriteria Decision Problem: Finding the best solution considering multiple criteria.
Key Concepts in Decision Making
Decision: The selected alternative.
Model: A representation of a real object or situation.
- Iconic Model: A physical replica of a real object.
- Analog Model: A physical representation, but doesn't resemble the real object.
- Mathematical Model: Uses mathematical symbols and expressions to represent a real situation.
Constraint: A limitation imposed on a problem.
Objective Function: The mathematical expression to be maximized or minimized.
Uncontrollable Input: Factors beyond the decision maker's control.
Controllable Input (Decision Variable): Alternatives specified by the decision maker.
Deterministic Model: All uncontrollable inputs are known and constant.
Stochastic (Probabilistic) Model: At least one uncontrollable input is uncertain and variable.
Optimal Solution: Decision variable values that yield the best output.
Infeasible Solution: Violates one or more constraints.
Feasible Solution: Satisfies all constraints.
Cost and Revenue Analysis
Fixed Cost: Remains constant regardless of production volume.
Variable Cost: Changes with production volume.
Marginal Cost: Rate of change of total cost with respect to volume.
Marginal Revenue: Rate of change of total revenue with respect to volume.
Breakeven Point: Volume where total revenue equals total cost.
Mathematical and Forecasting Techniques
Linear Programming: Maximizing or minimizing a linear objective function, subject to constraints.
Forecasting: Methods used to predict future aspects of business operations.