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LOGOProductionComplete.xlsx

Answer Report 1

Microsoft Excel 16.0 Answer Report
Worksheet: [LOGO Production.xlsx]Sheet1
Report Created: 11/18/2022 3:08:50 PM
Result: Solver found a solution. All Constraints and optimality conditions are satisfied.
Solver Engine
Engine: Simplex LP
Solution Time: 0.016 Seconds.
Iterations: 3 Subproblems: 0
Solver Options
Max Time Unlimited, Iterations Unlimited, Precision 0.000001, Use Automatic Scaling
Max Subproblems Unlimited, Max Integer Sols Unlimited, Integer Tolerance 1%, Assume NonNegative
Objective Cell (Max)
Cell Name Original Value Final Value
$B$22 Profit Santa's Grotto $ 2,001,000 $ 2,001,000
Variable Cells
Cell Name Original Value Final Value Integer
$B$18 Production Quantity Santa's Grotto 18000 18000 Contin
$C$18 Production Quantity Advent Calendar 60000 60000 Contin
Constraints
Cell Name Cell Value Formula Status Slack
$B$27 Production Quantity Santa's Grotto 18000 $B$27<=$B$28 Not Binding 2000
$C$27 Production Quantity Advent Calendar 60000 $C$27<=$C$28 Binding 0
$B$31 Molding Machine-hours used 300 $B$31<=$D$31 Binding 0
$B$32 Packing Machine-hours used 270 $B$32<=$D$32 Not Binding 30

Sheet1

Input Parameters
Santa's Grotto Advent Calendar
Maximum Demand 20000 60000
Selling Price $55 $35
Material Cost $15 $8
Molding machine-hours required 0.01 0.002
Packing machine-hours required 0.005 0.003
Machine-hours available Cost per machine-hour
Molding 300 $500
Packing 300 $800
Decisions
Santa's Grotto Advent Calendar
Production Quantity 18000 60000
Objective
Profit $ 2,001,000
Constraints
Santa's Grotto Advent Calendar
Production Quantity 18000 60000 <=
Maximum Demand 20000 60000
Machine-hours used Machine-hours available
Molding 300 <= 300
Packing 270 <= 300
Calculations
Santa's Grotto Advent Calendar
Selling Price $55 $35
Material Cost $15 $8
Assembly Machine-Hour Cost $5.00 $1
Packing Machine-Hour Cost $2.50 $2.40
Margin per Unit $ 33 $ 24