Exams › GATE › Technical

In a linear programming problem, if a resource is not fully utilized, the shadow price of that resource is

1. positive
2. negative
3. zero
4. infinity

Correct answer: zero

Solution

The shadow price represents the value of an additional unit of a resource in a linear programming problem. If a resource is not fully utilized, it means that increasing its availability does not improve the objective function, resulting in a shadow price of zero.

Related GATE Technical questions

• The figure shows a schematic of a simple Watt governor mechanism with the spindle O1O2 rotating at an angular velocity ω about a vertical axis. The balls at P and S have equal mass. Assume that there is no friction anywhere and all other components are massless and rigid. The vertical distance between the horizontal plane of rotation of the balls and the pivot O1 is denoted by h. The value of h = 400 mm at a certain ω. If ω is doubled, the value of h will be ________ mm.
• A square threaded screw is used to lift a load W by applying a force F. Efficiency of square threaded screw is expressed as
• The type of fit between a mating shaft of diameter 25.0^(+0.010)_(-0.010) mm and a hole of diameter 25.015^(+0.015)_(-0.015) mm is __________.
• Which one of the following is NOT a form of inventory?
• The Clausius inequality holds good for
• Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE? (A) A body subjected to hydrostatic pressure has no shear stress. (B) If a long solid steel rod is subjected to tensile load, then its volume increases. (C) Maximum shear stress theory is suitable for failure analysis of brittle materials. (D) If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.

⚔️ Practice GATE Technical free + battle 1v1 →