Check all correct statements below about the shadow price: The shadow price of a constraint indicates how much you would gain in the OFV by eliminating the constraint. The shadow price of a constraint indicates how much you would be willing to pay to relax the constraint by one unit. The shadow price of a constraint is the rate of change of the objective function value (OFV) per unit change in the RHS of the constraint. When the shadow price of a constraint is non-zero, it means that the constraint is binding. Regardless of how much it costs, one should continue relaxing each constraint until its shadow price becomes zero. The shadow price of a constraint is the amount by which the objective function value (OFV) worsens when the constraint is tightened (made more restrictive) by one unit. The shadow price of a constraint is the amount by which the objective function value (OFV) improves when the constraint is relaxed (made less restrictive)by one unit. The shadow price of a constraint is not defined when the constraint is non-binding.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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Check all correct statements below about the shadow price:

  • The shadow price of a constraint indicates how much you would gain in the OFV by eliminating the constraint.
  • The shadow price of a constraint indicates how much you would be willing to pay to relax the constraint by one unit.
  • The shadow price of a constraint is the rate of change of the objective function value (OFV) per unit change in the RHS of the constraint.
  • When the shadow price of a constraint is non-zero, it means that the constraint is binding.
  • Regardless of how much it costs, one should continue relaxing each constraint until its shadow price becomes zero.
  • The shadow price of a constraint is the amount by which the objective function value (OFV) worsens when the constraint is tightened (made more restrictive) by one unit.
  • The shadow price of a constraint is the amount by which the objective function value (OFV) improves when the constraint is relaxed (made less restrictive)by one unit.
  • The shadow price of a constraint is not defined when the constraint is non-binding.
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