A Section of Output from the Management Scientist Is Shown

question 24

Multiple Choice

A section of output from The Management Scientist is shown here. What will happen to the solution if the objective function coefficient for variable 1 decreases by 20?
$$\begin{array} { l l l l } \text { Variable } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit } \\\hline 1 & 60 & 100 & 120\end{array}$$

• A)Nothing.The values of the decision variables,the dual prices,and the objective function will all remain the same.
• B)The value of the objective function will change,but the values of the decision variables and the dual prices will remain the same.
• C)The same decision variables will be positive,but their values,the objective function value,and the dual prices will change.
• D)The problem will need to be resolved to find the new optimal solution and dual price.

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Definitions:

Fixed Costs

Costs that do not vary with the volume of production or sales, such as rent, salaries, and insurance, providing stability to a company's expense structure.

Variable Costs

Expenses that vary directly with the volume of production or sales.

CVP Graph

A Cost-Volume-Profit (CVP) graph visually represents the relationship between costs, volume of production, and profit.

Total Expense Line

Represents the aggregate of all expenses, both fixed and variable, incurred by a business during a specified accounting period.