I am somehow confused with the difference between Slack and Surplus. When is slack is to be used? and also surplus? Can you give me more definition in laymans's term an more examples please.
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Slack represents unused resources in constraints, while surplus (dual variable) represents the rate of change in the objective function value due to changes in constraint RHS values.
Slack is a communication platform designed for team collaboration, while surplus refers to an excess amount of resources or products beyond what is needed.
Slack refers to unused resources in "≤" constraints, while surplus indicates excess over the required level in "≥" constraints in linear programming.
Slack and surplus are used to analyze the feasibility and optimality of linear programming solutions. Slack represents unused resources in constraints, while surplus (dual variable) represents the rate of change in the objective function value due to changes in constraint RHS values.
Slack and surplus are both terms used to describe excess, but they apply in different contexts. Slack generally refers to extra capacity or flexibility in a system, like having a little extra time in your schedule or additional resources (such as staff) in a project, which allows you to adjust if needed without stress.
Surplus is for the number of products. Slack is for a number of extra time
a slack variable is generally used for less than or equal to constraints, on the other hand, the term surplus is used for greater than or equal to constraints.