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11) Lagrange multiplier another name for shadow price. 12) The
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# Question : 11) Lagrange multiplier another name for shadow price. 12) The : 1419452

11) Lagrange multiplier is another name for shadow price.

12) The Lagrange multiplier at the optimum gives only the instantaneous rate of change in the objective value.

13) In the method of Lagrange multipliers, constraints as multiples of a multiplier are subtracted from the objective function, which is then differentiated with respect to each variable and solved.

14) The Lagrangian function is differentiated with respect to each variable, and the resulting equations are solved simultaneously.

15) The Lagrange multiplier reflects a change in the objective function from a unit change in the right-hand-side value of a constraint.

16) The method of Lagrange multipliers can only be used in solving nonlinear programming problems with one equality constraint.

17) If a Lagrange multiplier equals 3, a one-unit increase in the right-hand side of a constraint, will result in an increase of 3 in the objective function.

18) In the ________ method, the constraint equation is solved for one variable in terms of another and then substituted into the objective function.

19) In the method of ________, constraints as multiples of multiplier λ are subtracted from the objective function, which is then differentiated with respect to each variable and solved.

20) The Lagrangian function is ________ with respect to each variable and the resulting equations are solved simultaneously.

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