Business decision model/probability question, please answer with detailed procedures, excel and calculations. Need explanations. Will rate helpful.

Question 10 (2 points) Goal programming and linear programming differ in that O in LP, the objective function is maximized or minimized, while in goal programming, the deviation between goals and possible achievement is minimized. O slack variables are used in LP, while deviational variables are used in goal programming. 0 deviational variables have positive objective function coefficients in goal programming, but slack variables have 0 coefficients in LP. 0 All of the above 0 None of the above Question 11 (2 points) Table A company has decided to use 01 integer programming to help make some investment decisions. There are three possible investment alternatives from which to choose, but if it is decided that a particular alternative is to be selected, the entire cost of that alternative will be incurred (i.e., it is impossible to build one-half of a factory). The integer programming model is as follows: Maximize 5000 X1 + 7000X2 + 9000X3 Subject to: X1 + X2 + X3 5 2 Constraint 1 -X1 + X2 5 0 Constraint 2 25,000 x1 + 32,000 x2 + 29,000 x3 5 62,000 (budget limit) 16 X1 + 14 X2 + 19 X3 S 36 (resource limitation) all variables = 0 or 1 where X1 = 1 if alternative 1 is selected, 0 otherwise X2 = 1 if alternative 2 is selected, 0 otherwise X3 = 1 if alternative 3 is selected, 0 otherwise Solution x1 = 1, x2 = 0, x3 = 1, objective value = 14,000. The Table above presents an integer programming problem. If the optimal solution is used, then only two of the alternatives would be selected. How much slack would there be in the third (budget limit) constraint? 0 None of the above Question 8 (2 points) Shown below is a consistency vector from an Analytic Hierarchy Process analysis. 2.6895 2.5555 2.7985 2.6105 Compute 1. (Also known as X(avg)) Not enough information is given to compute 2.7985 2.6000 10.6540 2.6635Question 9 (2 points) Upon completion of an Analytic Hierarchy Process analysis, the CR = 0.23, thus 0 the decision makers' answers are relatively consistent. O the decision makers should consider reevaluating their pairwise comparisons. 0 no conclusion is available for this value of the CR. 0 the decision maker has made near perfectly consistent pairwise comparisons. 0 None of the above