Math Questions
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If the sum of the percentage changes of the right-hand sides does not exceed 100%, then the solution will definitely remain optimal.
Managerial decisions regarding right-hand sides are often interrelated and so frequently are considered simultaneously.
If the right-hand side of Resource B changes to 80, then the objective function value:
If the coefficient of Activity 2 in the objective function changes to $100, then:
What is the allowable range for the right-hand-side for Resource C?
If the coefficient for Activity 1 in the objective function changes to $50, then the objective function value:
Some linear programming problems have more than one solution.
In a standard maximization linear programming problem, each constraint inequality may be written so that it is less than or equal to a nonnegative number
Every minimization problem can be converted into a maximization problem.
If, at any stage of an iteration of the simplex method, it is not possible to compute the ratios (division by zero) or the ratios are negative, then the standard linear programming problem has no solution.
A linear programming problem with an unbounded feasible region never has a solution.
In a feasible basic solution all the variables (with the possible exception of the objective) are positive.
The solution set of 2x - 3y < 0 is below the line 2x - 3y = 0.
If a linear programming problem has a solution at all, it will have a solution at some corner of the feasible region.
In the final tableau of a simplex method problem, if the problem has a solution, the last column will contain no negative numbers.
In a feasible basic solution all the variables (with the possible exception of the objective) are nonnegative.
The feasible region of a linear programming problem with two unknowns may be bounded or unbounded.
In the simplex method, a basic solution can assign the value zero to some basic variables.
The graph of a linear inequality consists of a line and some points on both sides of the line.
If a linear program is unbounded, the problem probably has not been formulated correctly. Which of the following would most likely cause this? a. A constraint was inadvertently omitted. b. An unnecessary constraint was added to the problem. c. The objective function coefficients are too large. d. The objective function coefficients are too small.