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:

Equilibrium Price

The price point at which the supply of a good matches its demand in the market.

Economic Impact

The effect of an event, policy, or business activity on the economy of a specific area, ranging from local to global.

Per-apple Tax

A unit tax applied specifically to the sale of apples, affecting their market price per unit.

Imported Apples

Apples that are brought into one country from another to be sold in the domestic market.