Question

QUESTION 26 1 points Save Answer If the per unit profit associated with each pair of deluxe gloves is increased by $5, what is the impact on the optimal solution and on the total profit? Objective Cell (Max) Name Cell Original Value Final Value SBS4 Objective Function (Maximize Profit) 294 Variable Cells Cell Name Orginal Value Final Value Integer 24 Contin SBSI X11# of standard goes) X2 ( ะ of de luxe doves) SBS2 14 Contirn Constraints Cell Value Cell Name Formula Status Sack 90 SB$8 $CS8 Binding 100 SBS9c $C$9 Binding 64 SBS10oSCS10 Not Binding 16 958-1)Constraint#1(leather atting hours)US $899 2) Constraint#2(finishing hours)US 5BS10 3) Constraint#3(packan hours)US Variable Cells Final Reduced Objedtive Allowable Allowable CellName Value Cost Coeffident Increase Decrease 8s1 X1( of standard goves) 5852 x2(0 of deluxe gloves) 6.5 24 14 1.5 433щци Final Reduced Objetive Allowable Allowable Value Cost Coeffident Increase Decrease Name Cell 6.5 0 sesi X1(#Of standard gOves) $8$2 x2 (#of deluxe gloves) 24 1.5 4333333333 14 9 Constraints Final Shadow Constraint Allowable Allowable Value Price RH. Side Inarease Decrease Name Cell 90 26.66666667 23.33333333 35 $858 1)Constraint#1(leather cutting hours) LHS $899 2)Constraint #2 (finishing hours) LHS $8$10 3) Constraint #3(packagirghours)LHS 90-26 100 100 a6 1E+30 16 64 0 OThere is no impact on the optimal solution, but profit wll increase by $70 There is no impact on the optimal solution, but profit will increase by $9 The optimal solution will change, but profit will remain the same 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 None of the above QUESTION 27 per unit profit associated with producing the standard glove were to increase by $2 a pair, what would the impact be on the total profit? Total profit would increase by $14 Total profit would increase by $48 Total profit would increase by $2 We cannot tell. We would need to reformulate the LP and re-solve it None of the above QUESTION 28 1 points Save Answer If the company were to obtain 10 additional packing hours, what would the impact on profit be? Total profit would increase by $64 per unit Total profit would increase by $80 per unit Total profit would increase by $16 per unit increasing the RHS of the constraint has no impact on the total profit None of the above QUESTION 29 1 points Save Ae How many pairs of the deluxe glove should the company produce in order to maximize profit 24 14 None of the above QUESTION 30 1 points Save Answer If the company were to obtain 20 additional leather cutting hours, what is the impact on profit? We can't tell. The problem needs to be reformulated and resolved Total profit would increase by $90 Increasing the RHS of the constraint has no impact on the total profit Total profit would increase by $2.60 None of the above QUESTION 31 1 points Save Answer interpret the value 16 in the SLACK column of the Answer Report for Constraint #3(packing hours). The company needs 16 additional packaging hours to produce the optimal solution The company did not use all the available packaging labor hours, and 16 hours are unused The company will gain an additional $16 in profit for each additional hour of packaging labor it doesn't mean anything because the constraint is not binding None of the above

Answer 1

Question 26

Correct answer is The optimum 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

Reason: Increase of $5 exceeds allowable increase for deluxe gloves which is 1.5 to keep the present optimum solution intact

Question 27

Correct answer is Total profit would increase by $14

As increase of $2 is within allowable increase limit of 6.5, we can say present optimum solution will remain intact and profit will increase by 7*$2 = $14

Question 28

Correct answer is increasing the RHS of the constraint has no impact on the total profit

As shadow price of packaging hours is 0 which means resource is not fully utilized in the optimum solution, additional hours will also remain unutilized and have no impact on profit

Question 29

Correct answer is 14

From the optimum solution we can see final value of number of deluxe gloves is 14 to maximize profit