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1) A typical linear programming objective function might be written as 3X+2Y+5Z20. A. True B. False 2) What is slack? A) The maximum value for any constraint. B) The leftover or unused portion of a sesource that is constrained. C) The amount that a resource can change during sensitivity analysis. D) The maximum amount of a constrained resource that can be used. 3) Which of the following is true for a "binding" constraint with a sign? A) It will have a surplus C) It will have a zero coefficient for one variable B) It will have zero slack D) It will have a wide sensitivity range 4) The term sensitivity analysis refers to testing how a problem solution reacts to changes in one or more of the model parameters. A. True B. False 5) In general, the constraint 3x1+6x248 is converted to an equality by A) adding a slack variable. B) subtracting a surplus variable. C) adding both a slack variable and a surplus variable. D) subtracting both a slack variable and a surplus variable. 6) represent a restriction on dcision variable values (and resource usage) for a linear programming problem. A) Surpluses B) Constraints C) Feasible regions D) Optimal points Table 1 and Figure 2: Tracksaws, Inc. Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $30 on each tractor and $30 on each lawn mower, and they sell all they can produce. The time requirements in the machine shop, fabrication, and tractor assembly are given in the table. Formulation: Let x= number of tractors produced per period and y= 'number of lawn mowers produced per period MAXZ=30x+30y subject to 2x+y602x+3y120x45(machineshopconstraint)(fabricationconstraint)(assemblyconstraint) The graphical solution is shown below, with the point labeled as Z being optimal. 7) See Figure and Table above: From the following options, approximately how many tractors and lawn mowers should be produced to maximize profit? A) 0 tractors and 40 lawn mowers C) 15 tractors and 30 lawn mowers B) 30 tractors and 0 lawn mowers D) 20 tractors and 40 lawn mowers 8) How much profit will Tracksaws, Inc. make for the optimal solution? A) $900 C) $500 B) $1200 D) $1350 PDQ Company - ANSWER REPORT (from Excel and Solver) Objective Cell (Max) 9) From the above Answer Report, what is the Objective and the Final Value? A) Minimize Cost, $10 C) Maximize Profit, $28 B) Minimize Cost, $9 D) Maximize Profit, \$36 10) From the Answer Report above, what are the final values for the two decision variables? A) X1=0,X2=4 C) X1=4,X2=0 B) X1=2,X2=4 D) X1=4,X2=2