The importance of _________ for integer linear programming problems is often intensified by the fact that a small change in one of the coefficients in the constraints can cause a relatively large change in the value of the optimal solution. a. objective function b. decision variables c. sensitivity analysis d. optimization analysisIn order to choose the best solution for implementation, practitioners usually recommend re-solving the integer linear program several times with variations in the a. objective function. b. decision variables. c. constraint coefficients. d. integer constraints.The objective function for an optimization problem is: Max 5x - 3y, with constraints x ≥ 0, y ≥ 0 and y must be an integer. x and y are the only decisions variables. This is an example of a(n) a. all-integer linear program. b. mixed-integer linear program. c. LP relaxation of the integer linear program. d. binary integer linear program.The ________ helps design programs and systems to find new sources of knowledge or to make better use of existing knowledge in organizational and management processes. A) CTOB) CSOC) CKOD) CPOThe objective function for an optimization problem is: Min 3x - 2y, with constraints x ≥ 0, y ≥ 0. x and y must be integers.. Suppose that the integer restriction on the variables is removed. If so, this would be a familiar two-variable linear program; however, it would also be an example of a. the convex hull of the linear program. b. a mixed-integer linear program. c. an LP relaxation of the integer linear program. d. a binary integer linear program.Which of the following is true of rounding the optimized solution of a linear program to an integer? a. It always produces the most optimal integer solution. b. It always produces a feasible solution. c. It does not affect the value of the objective function. d. It may or may not be feasible.Which of the following is true about the sensitivity analysis for integer optimization problems? a. Sensitivity reports are readily available for integer optimization problems similar to the linear programming problems. b. Because of the discrete nature of the integer optimization, Excel Solver takes much more time to calculate objective function coefficient ranges, shadow prices, and right-hand-side ranges. c. The sensitivity analysis is not important for integer problems. d. To determine the sensitivity of the solution to changes in model inputs for integer optimization problems, the data must be changed and the problem must be re-solved.The objective function for a linear optimization problem is: Max 3x + 5y, with constraints x ≥ 0, y ≥ 0 and x and y are both integers and they are also the only decisions variables. This is an example of a(n) a. all-integer linear program. b. mixed-integer linear program. c. nonlinear program. d. binary integer linear program.Binary variables are identified with the __________ designation in the Solver Parameters dialog box.a.binb.0 and 1c.intd.difThe optimal solution to the integer linear program will be an extreme point of thea.convex hull.b.objective contour.c.cutting plane.d.slope.The ___________ approach to solving integer linear optimization problems breaks the feasible region of the LP Relaxation into subregions until the subregions have integer solutions or it is determined that the solution cannot be in the subregion. a. cutting plane b. trial-and-error c. breaking region d. branch-and-boundWhich of the following approaches to solving integer linear optimization problems tries to identify the convex hull by adding a series of new constraints that do not exclude any feasible integer points? a. Branch-and bound approach b. Cutting plane approach c. Trial-and-error approach d. Convex hull approachThe ___________ of a set of points is the smallest intersection of linear inequalities that contain the set of points. a. concave hull b. slope c. convex hull d. geometryWhich of the following is true of the relationship between the value of the optimal integer solution and the value of the optimal solution to the LP Relaxation? a. For integer linear programs involving minimization, the value of the optimal solution to the LP Relaxation provides an upper bound on the value of the optimal integer solution. b. For integer linear programs involving maximization, the value of the optimal solution to the LP Relaxation provides a lower bound on the value of the optimal integer solution. c. For integer linear programs involving minimization, the value of the optimal solution to the LP Relaxation provides a lower bound on the value of the optimal integer solution. d. For any linear program involving either minimization or maximization, the value of the optimal solution to the LP Relaxation provides an infeasible value for the optimal integer solution.The imposition of an integer restriction is necessary for models wherea.nonnegativity constraints are needed.b.variables can take negative values.c.the decision variables cannot take fractional values.d.possible values of variables are restricted to particular intervals.Which of the following roles falls into the duties of an information systems manager?A) writing software instructions for computersB) acting as liaison between the information systems group and the rest of the organizationC) translating business problems into information requirementsD) managing data entry staffThe CPO is responsible forA) ensuring that the company complies with existing data privacy laws. B) making better use of existing knowledge in organizational and management processes. C) enforcing the firm's information security policy. D) overseeing the use of information technology in the firmThe linear program that results from dropping the integer requirements for the variables in an integer linear program is known as a. convex hull. b. a mixed-integer linear program. c. LP relaxation. d. a binary integer linear program.Which types of systems consolidate the relevant knowledge and experience in the firm to make it available to improve business processes and management decision making?A) TPSB) extranetsC) KMSD) CRMAn example of a collaboration tool that supports colocated, asynchronous collaboration isA) a team room.B) e-mail.C) a MUD.D) a wall display
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