Question

The time it takes me to go shopping follows an exponential distribution with a mean of 30 minutes. What is the probabil ity that I finish shopping in 40 minutes or less? Round to the nearest decimal! 73.6% 62.3% 77,7% 75.3% None of the above What is the probability that it takes me between 40 and 50 minutes to finish my shopping? Round to the nearest decimal! O 14.1% 10.6% 7.5% 81.1 % None of the above If the per unit profit associated with each pair of standard gloves is reduced by $2, what is the impact on the optimal solution and on the total profit? Objective Cell (Max) Cell Original Value Final Value Name $B$4 Objective Function (Maxim ize Profit) 0 218 Variable Cells Name $B$1 X1(#of standard gloves) $B$2 X2(#of deluxe gloves) Original Value Final Value Cell Integer 18 Cont in 16 Cont in 0 Constraints Cell Cell Value Formula Slack Name Status $B$8 1) Constraint#1 (le ather cutting hours) LHS $B$9 2) Constraint #2 (finishing hours) LHS $B$10 3) Constraint #3 (packag ing hours) LHS 78 $B$8-SC$8 60 $B$9 $C$9 Binding 100 $B$10=$C$10 Binding Not Binding 12 riable Cells Final Reduced Obje ctive Allowable Allowable Cell Value Cost Coefficient Increase Name Decrease $B$1 X1 (# of standard gloves) $B$2 X2 (# of deluxe gloves) 5 5.666666667 18 0 1 8 16 0 4.25 nstraints Final Shadow Constraint Allowable Allowable R.H. Side Increase Decrease Cell Value Price Name $B$8 1) Constraint#1 (leather cutting hours) LHS $B$9 2) Constraint #2 (finishing hours) LHS $B$10 3) Constraint #3 (packaging hours) LHS 78 90 60 6.666666667 100 1E+30 12 60 0.8 22.5 60 100 1.7 40 The optimal solution will change, but profit will remain the same The change is outside of the ROO, so we must reformulate and re-solve the LP to answer the question There is no impact on the optimal solution, but profit will decrease by $36 There is no impact on the optimal solution, but profit will decrease by $2 None of the above OO If the per unit profit associated with producing the standard glove were to increase by $3 a pair, what would the impact be on the total profit? Objective Cell (Max) Cell Original Value Final Value Name $B$4 Objective Function (Maxim ize Profit) 218 Variable Cells Final Value Cell Original Value Name Integer 18 Cont in 16 Cont in $B$1 X1(#of standard gloves) $B$2 X2(#of de luxe gloves) Constraints Cell Cell Value Formula Slack Name Status $B$8 1) Constraint#1 (le ather cutting hours) LHS $B$9 2) Constraint #2 (finishing hours) LHS Not Binding Binding 100 $B$10 SC$10 Binding 78 SB$8-SC$8 12 60 SBS9-SC$9 0 $B$10 3) Constraint #3 (packag ing hours) LHS riable Cells Final Reduced Objective Allowable Allowable Coefficient Cell Value Name Cost Increase Decrease $B$1 X1 (# of standard gloves) $B$2 X2 (# of deluxe gloves) 5 5.666666667 18 1 16 0 2 4.25 nstraints Final Shadow Constraint Allowable Allowable Cell Value Price R.H. Side Name Increase Decrease $B $8 1) Constraint#1 (leathercutting hours) LHS $B$9 2) Constraint #2 (finishing hours) HS $B$10 3) Constraint #3 (packaging hours) LHS 78 90 1E+30 12 0.8 60 60 6.666666667 22.5 100 17 100 60 40 Total profit would increase by $18 Total profit would increase by S54 The optimal solution will change, but we cannot tell exactly how the solution changes or what the profit will be unless we reformulate the LP and re-solve it Total profit would increase by S3 None of the above OO

Answer 1

Ansues -3 /-e */p foo caf Plxx) PCAS) P(X40 30 MO 30 E1-0.a63 =073 6 79.Tt Answeo i ofon A) 73.61

2) P(40e15) -P (x<50) - P(x <4) e 30 0.8110.73 D. 075 Answed