An improvement in the value of the objective function per unit increase in the right-hand side of a constraint is the

Question

BlackTom AI · Accepted Answer

Let’s break down the concepts involved in this question by examining what each term typically means in linear programming context.
Option 1: 'sensitivity value.' In LP literature, the term 'sensitivity analysis' refers to how changes in parameters affect the optimal solution, but there isn’t a standard metric specifically called 'sensitivity value' that measures the objective improvement per unit change in a constraint’s RHS. This phrasing is not the conventional terminology used for the effect of increasing RHS on the objective.
Option 2: 'constraint coefficient.' The constraint coefficient refers to the coefficients of decision variables within the constraint, not to any measure of how the objective changes when the RHS is altered. So this option describes a different element of the problem and does not capture the effect on the objective value.
Option 3: 'slack value.' Slack refers to the unused portion of a constraint at the optimal (or current) solution for ≤ constraints, or the excess for ≥ constraints. While related to the feasibility and tightness of a constraint, slack does not quantify how the objective improves per unit increase in the RHS; it measures remaining capacity, not the objective sensitivity.
Option 4: 'None of these are correct.' Since the standard term for the improvement in the objective per unit increase in a constraint’s RHS is known as the shadow price (or dual value) of the constraint, which is a classic concept in duality theory of linear programming, none of the listed terms precisely match that idea. The shadow price indicates how much the objective would improve (increase for minimization, decrease for maximization depending on sign conventions) per unit increase in the constraint's RHS, under the current basis.
To tie these thoughts together, recognize that the precise technical term is not among the first three options, so the most accurate choice among the given options points to the notion that the listed items do not capture the described sensitivity measure. The concept of a shadow price is the correct descriptor for this phenomenon, and it is not labeled in Options 1–3.

MGMT90280_2025_SM1 Week 1 practice quiz

An improvement in the value of the objective function per unit increase in the right-hand side of a constraint is the

View Explanation

Log in for full answers

Similar Questions

What is the shadow price of the constraint that says Booster must make at least 275 kg of Boost?

Calculate the shadow price for Fries. Make sure your answer is accurate to two decimal places.

Based on the per-unit increase in the right-hand side of the constraint, the shadow price measures the

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler