Document Preview:
Introduction to Management Science, 10e (Taylor) Chapter 2 Linear Programming: Model Formulation and Graphical Solution 1) Linear programming is a model consisting of linear relationships representing a firm's decisions given an objective and resource constraints. 2) The objective function is a linear relationship reflecting the objective of an operation. Answer: 3) A constraint is a linear relationship representing a restriction on decision making. Answer: 4) A linear programming model consists of only decision variables and constraints. Answer: 5) A feasible solution violates at least one of the constraints. Answer: 6) Proportionality means the slope of a constraint is proportional to the slope of the objective function. Answer: 7) The terms in the objective function or constraints are additive. Answer: 8) The terms in the objective function or constraints are multiplicative. Answer: 9) The values of decision variables are continuous or divisible. Answer: 10) All model parameters are assumed to be known with certainty. Answer: 11) In linear programming models , objective functions can only be maximized. Answer: 12) All linear programming models exhibit a set of constraints. Answer: 13) Linear programming models exhibit linearity among all constraint relationships and the objective function. Answer: 14) The equation 8xy = 32 satisfies the proportionality property of linear programming. Answer: 15) Objective functions in linear programs always minimize costs. Answer: 16) The feasible solution area contains infinite solutions to the linear program. Answer: 17) There is exactly one optimal solution point to a linear program. Answer: 18) The following equation represents a resource constraint for a maximization problem: X + Y = 20 Answer: 19) A minimization model of a linear program contains only surplus variables. Answer: 20) In the graphical approach, simultaneous equations...
No comments:
Post a Comment