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K The High Note Sound Company manufactures quality compact disc (CD) players and stereo receivers. Each of these products require a certain amount of skilled
K The High Note Sound Company manufactures quality compact disc (CD) players and stereo receivers. Each of these products require a certain amount of skilled artisanship, of which there is a limited weekly supply. The firm formulates the following LP problem in order to determine the best production mix of CD players (X) and receivers (Y): Maximize profit = 50X + 120Y Subject to 2X + 4Y 80 (hours of electricians' time available) 3X + Y 60 (hours of audio technicians' time available) X, Y20 The following table provides the sensitivity report of the above formulation: Variable Cells Constraints Cell $C$3 $D$3 Cell $E$6 $E$7 Name CDPlayers Receivers Name Electrician Audio Technician Final Value 0 20 Final Value 80 20 Reduced Cost -10 0 The Shadow Price 30 Objective Allowable Allowable Coefficient Increase Decrease 1E+30 20 0 50 120 Constraint R.H. Side 80 60 10 1E+30 Allowable Allowable Increase Decrease 80 160 1E+30 40 Assuming all other parameters remain unchanged, what is the range of the objective function coefficient associated with CD Players for which the current optimal solution still remains optimal? The High Note Sound Company manulactures qualify compact disc (CD) players and stereo receivers Each of those products require a certain amount of salled artisanship, of which there is a Imited woekly supply, The firm fomulates the folowing LP problem in order to determine the bect production mix of CD players (X) and recetvers (M) Maximize profit =50X+120Y Subiect 10 2X+4Y80 (hours of electricians' time available) 3X+Y60 (hours of audio technicians' time avallable) The following table peovidas the sensitivitr repot of the abowa fommilation Assuming al ether parameters remain unchanged, what is the range of the objectve function coufficient associated with cD playes for maici the curent optimal solution stiil remains optimar
K The High Note Sound Company manufactures quality compact disc (CD) players and stereo receivers. Each of these products require a certain amount of skilled artisanship, of which there is a limited weekly supply. The firm formulates the following LP problem in order to determine the best production mix of CD players (X) and receivers (Y): Maximize profit = 50X + 120Y Subject to 2X + 4Y 80 (hours of electricians' time available) 3X + Y 60 (hours of audio technicians' time available) X, Y20 The following table provides the sensitivity report of the above formulation: Variable Cells Constraints Cell $C$3 $D$3 Cell $E$6 $E$7 Name CDPlayers Receivers Name Electrician Audio Technician Final Value 0 20 Final Value 80 20 Reduced Cost -10 0 The Shadow Price 30 Objective Allowable Allowable Coefficient Increase Decrease 1E+30 20 0 50 120 Constraint R.H. Side 80 60 10 1E+30 Allowable Allowable Increase Decrease 80 160 1E+30 40 Assuming all other parameters remain unchanged, what is the range of the objective function coefficient associated with CD Players for which the current optimal solution still remains optimal?
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