1.To solve a linear programming problem with thousands of variables and constraintsa.a personal computer can be used.b.a mainframe computer is required.c.the problem must be partitioned into subparts.d.unique software would need to be developed.ANSWER:aTOPIC:Computer solution 2.A negative dual price for a constraint in a minimization problem meansa.as the right-hand side increases, the objective function value will increase.b.as the right-hand side decreases, the objective function value will increase.c.as the right-hand side increases, the objective function value will decrease.d.as the right-hand side decreases, the objective function value will decrease.ANSWER:aTOPIC:Dual price3.If a decision variable is not positive in the optimal solution, its reduced cost isa.what its objective function value would need to be before it could become positive.b.the amount its objective function value would need to improve before it could become positive.c.zero.d.its dual price.ANSWER:bTOPIC:Reduced cost4.A constraint with a positive slack valuea.will have a positive dual price.b.will have a negative dual price.c.will have a dual price of zero.d.has no restrictions for its dual price.ANSWER:cTOPIC:Slack and dual price 1