You are working on a problem to maximize profit by figuring out what mix of two products (CD player and Receiver) to produce at your plant. You have constraints on the amount of hours available for two types of employees (electricians and audio technicians). Use the screenshot below of the sensitivity report of an LP formulation in Excel to answer questions 23 and 24. The values represent the optimal solution for the problem. Variable Cells Cell Name Value Cost Final Reduced Objective Allowable Allowable Coefficient Increase Decrease $B$2 Units Produced CD Player $C$2 Units Produced Receiver 0 -10 50 20 0 120 10 1E+30 1E+30 20 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $D$6 Electrcian Time LHS (Hours Used) 80 30 80 160 80 $D$7 Audio Technician Time LHS (Hours Used) 20 0 60 1E+30 40 The optimal profit for the problem above is $2,400. Given the sensitivity analysis report shown above, what would the optimal profit be if 2 additional hours of electrician time was added? $2,460 The answer cannot be determined based on the given information $2,400 $2,430

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Answer the question using the following analysis
You are working on a problem to maximize profit by figuring out what mix of two products
(CD player and Receiver) to produce at your plant. You have constraints on the amount of
hours available for two types of employees (electricians and audio technicians). Use the
screenshot below of the sensitivity report of an LP formulation in Excel to answer questions
23 and 24. The values represent the optimal solution for the problem.
Variable Cells
Cell
Name
Value Cost
Final Reduced Objective Allowable Allowable
Coefficient Increase
Decrease
$B$2 Units Produced CD Player
$C$2 Units Produced Receiver
0
-10
50
20
0
120
10
1E+30
1E+30
20
Constraints
Final Shadow Constraint Allowable Allowable
Cell
Name
Value
Price
R.H. Side
Increase Decrease
$D$6 Electrcian Time LHS (Hours Used)
80
30
80
160
80
$D$7 Audio Technician Time LHS (Hours Used)
20
0
60
1E+30
40
Transcribed Image Text:You are working on a problem to maximize profit by figuring out what mix of two products (CD player and Receiver) to produce at your plant. You have constraints on the amount of hours available for two types of employees (electricians and audio technicians). Use the screenshot below of the sensitivity report of an LP formulation in Excel to answer questions 23 and 24. The values represent the optimal solution for the problem. Variable Cells Cell Name Value Cost Final Reduced Objective Allowable Allowable Coefficient Increase Decrease $B$2 Units Produced CD Player $C$2 Units Produced Receiver 0 -10 50 20 0 120 10 1E+30 1E+30 20 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $D$6 Electrcian Time LHS (Hours Used) 80 30 80 160 80 $D$7 Audio Technician Time LHS (Hours Used) 20 0 60 1E+30 40
The optimal profit for the problem above is $2,400. Given the sensitivity analysis report
shown above, what would the optimal profit be if 2 additional hours of electrician time was
added?
$2,460
The answer cannot be determined based on the given information
$2,400
$2,430
Transcribed Image Text:The optimal profit for the problem above is $2,400. Given the sensitivity analysis report shown above, what would the optimal profit be if 2 additional hours of electrician time was added? $2,460 The answer cannot be determined based on the given information $2,400 $2,430
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