Question

The optimal solution of this linear programming problem is at the intersection of constraints 1 and 2.

Max 2x₁ + x₂
s.t. 4x₁ + 1x₂ ≤ 400
4x₁ + 3x₂ ≤ 600
1x₁ + 2x₂ ≤ 300
x₁, x₂ ≥ 0
​What is the shadow price of constraint 3?

Answer 1

To find the shadow price of constraint 3, we need to solve the linear programming problem and determine the value of the objective function at that point. However, since the objective function equation is not provided in the question, we cannot calculate the shadow price.

Step-by-step explanation:

The shadow price of a constraint in linear programming represents the rate of change in the objective function for a one-unit increase in the right-hand side of that constraint while keeping all other constraints and variables constant.

To find the shadow price of constraint 3, we need to solve the linear programming problem and determine the value of the objective function at that point. However, since the objective function equation is not provided in the question, we cannot calculate the shadow price.

NOTE: The shadow price is only applicable when there is a specific objective function involved.