NP_EX_8_Athena_
xlsx
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School
Central Washington University *
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Course
365
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
xlsx
Pages
11
Uploaded by ColonelFinch2956
11/26/2023
c0faf44f1ef82e39d99c6afb9fe6dfba811b62e0.xlsx
Page 1
Documentation
Athena Cycles
Author
Date
Purpose
To perform a break-even analysis of Athena I bicycle sales and
to determine the product mix that optimizes company profits
among four Athena bicycle models
Scenario Summary
Current Values:
Status Quo
Changing Cells:
Units_Sold
3,000
3,000
Sales_Price_per_Unit
$1,400
$1,400
Salaries_and_Benefits
$
616,500 $
616,500
Shipping_and_Distribution
180,000
180,000
Stocking_and_Storage
150,000
150,000
Miscellaneous
210,000
210,000
Result Cells:
Total_Revenue
4,200,000
4,200,000
Total_Expenses
4,006,500
4,006,500
$B$27
$
193,500 $
193,500
Notes:
Current Values column represents values of changing cells at
time Scenario Summary Report was created.
Changing cells for each
scenario are highlighted in gray.
Expanded Operations
Reduced Operations
Reduced Pricing
3,500
2,250
3,800
$1,400
$1,400
$1,300
$
755,000 $
575,000 $
616,500
235,000
150,000
190,000
200,000
125,000
160,000
225,000
180,000
230,000
4,900,000
3,150,000
4,940,000
4,740,000
3,167,500
4,806,500
$
160,000
$
(17,500)
$
133,500
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Scenario PivotTable
Row Labels
Total_Revenue
Total_Expenses
Net_Income
Expanded Operations
$4,900,000
$4,740,000
$160,000
Reduced Operations
$3,150,000
$3,167,500
($17,500)
Reduced Pricing
$4,940,000
$4,806,500
$133,500
Status Quo
$4,200,000
$4,006,500
$193,500
$0
$1,000,000
$2,000,000
$3,000,000
$4,000,000
$5,000,000
$6,000,000
($50,000)
$0
$50,000
$100,000
$150,000
$200,000
$250,000
Total_Revenue
Total_Expenses
Net_Income
c0faf44f1ef82e39d99c6afb9fe6dfba811b62e0.xlsx Income 11/26/2023
Athena Cycles
Income Analysis for the Athena I Bicycle
Break-Even Analysis
Net Income Analysis
Revenue
Units Sold
Revenue
Expenses
Net Income
Sales Price
Units Sold
3,000
$
3,000 $
4,200,000 $
4,006,500 $
193,500
Unit Sold
$1,000
$1,200
$1,400
$1,600
$1,800
Sales Price per Unit
$1,400
1,000
1,400,000
2,106,500
(706,500)
1,000
(1,106,500)
(906,500)
(706,500)
(506,500)
(306,500)
Total Revenue
$
4,200,000
1,500
2,100,000
2,581,500
(481,500)
1,500
(1,081,500)
(781,500)
(481,500)
(181,500)
118,500
2,000
2,800,000
3,056,500
(256,500)
2,000
(1,056,500)
(656,500)
(256,500)
143,500
543,500
Variable Expenses
2,500
3,500,000
3,531,500
(31,500)
2,500
(1,031,500)
(531,500)
(31,500)
468,500
968,500
Units Produced
3,000
3,000
4,200,000
4,006,500
193,500
3,000
(1,006,500)
(406,500)
193,500
793,500
1,393,500
Material Cost per Unit
$740
3,500
4,900,000
4,481,500
418,500
3,500
(981,500)
(281,500)
418,500
1,118,500
1,818,500
Total Material Cost
2,220,000
4,000
5,600,000
4,956,500
643,500
4,000
(956,500)
(156,500)
643,500
1,443,500
2,243,500
Manufacturing Cost per Unit
$210
4,500
6,300,000
5,431,500
868,500
4,500
(931,500)
(31,500)
868,500
1,768,500
2,668,500
Total Manufacturing Cost
630,000
5,000
7,000,000
5,906,500
1,093,500
5,000
(906,500)
93,500
1,093,500
2,093,500
3,093,500
Total Variable Expenses
$
2,850,000
Fixed Expenses
Salaries and Benefits
$
616,500
Shipping and Distribution
180,000
Stocking and Storage
150,000
Miscellaneous
210,000
Total Fixed Expenses
$
1,156,500
Summary
Total Revenue
4,200,000
Total Expenses
4,006,500
Net Income
$
193,500
$500 $1000 $1500 $2000 $2500 $3000 $3500 $4000 $4500 $5000 $5500
$-
$1000000
$2000000
$3000000
$4000000
$5000000
$6000000
$7000000
$8000000
Revenue
Expenses
500
1,000
1,500
2,000
2,500
3,000
3,500
4,000
4,500
5,000
5,500
(1,500,000)
(1,000,000)
(500,000)
0
500,000
1,000,000
1,500,000
2,000,000
2,500,000
3,000,000
3,500,000
$1,000
$1,200
$1,400
$1,600
$1,800
c0faf44f1ef82e39d99c6afb9fe6dfba811b62e0.xlsx Product Mix 11/26/2023
Athena Cycles
Product Mix Analysis
Parts Required for Each Unit
Product Mix Analysis
Athena I
Athena II
Athena III
Athena Racer
Part
Athena I
Athena II
Athena III
Athena Racer
Sales Price per Unit
$1,400
$1,800
$2,200
$3,000
Carbon Frame
1
1
0
0
Material Cost per Unit
$740
$934
$1,388
$2,004
UltraLite Carbon Frame
0
0
1
1
Manufacturing Cost per Unit
$210
$378
$488
$648
Ultraforce Shifters
1
0
0
0
Ultraforce II Shifters
0
1
0
0
Even Product Mix (Units)
3,000
3,000
3,000
3,000
High Response Shifters
0
0
1
1
Optimal Product (Units)
2,809
3,381
2,422
3,388
Front Derailleur X2
1
1
1
0
Change
(191)
381
(578)
388
Front Derailleur X3
0
0
0
1
Rear Derailleur X2
1
1
1
0
Revenue (Even Mix)
$
4,200,000 $
5,400,000 $
6,600,000 $
9,000,000
Rear Derailleur X3
0
0
0
1
Revenue (Optimal Mix)
3,932,600
6,085,800
5,328,400
10,164,000
Standard Crank Arm
1
1
1
0
Change
(267,400)
685,800
(1,271,600)
1,164,000
Extended Crank Arm
0
0
0
1
LightTouch Pedals
1
1
0
0
Summary
Even Mix
Optimal Mix
Difference
% Difference
SpeedRacer Pedals
0
0
1
1
Units Produced and Sold
12,000
12,000
0
0.00%
FirmControl Brakes
1
1
1
0
Total Revenue
$
25,200,000 $
25,510,800
310,800
1.23%
Sensor Brakes
0
0
0
1
Total Material Cost
15,198,000
15,387,802
189,802
1.25%
Standard Wheelset
2
2
2
2
Total Manufacturing Cost
5,172,000
5,245,268
73,268
1.42%
Chain Ring Kit
1
1
1
1
Total Fixed Expenses
3,470,000
3,470,000
0
0.00%
Casset Kit
1
1
1
1
Net Income
$
1,360,000 $
1,407,730
47,730
3.51%
Drivetrain Kit
1
1
1
1
Maximum Net Income
Parts Available
3.51%
Part
Available
Used
Remaining
4
Carbon Frame
6,413
6,190
223
1
UltraLite Carbon Frame
6,312
5,810
502
1
Ultraforce Shifters
2,809
2,809
0
1
Ultraforce II Shifters
3,381
3,381
0
1
High Response Shifters
6,304
5,810
494
32767
Front Derailleur X2
9,681
8,612
1,069
0
Front Derailleur X3
3,388
3,388
0
Rear Derailleur X2
9,831
8,612
1,219
Minimum Material Cost
Rear Derailleur X3
3,722
3,388
334
15,387,802
Standard Crank Arm
10,204
8,612
1,592
4
Extended Crank Arm
3,500
3,388
112
1
LightTouch Pedals
9,000
6,190
2,810
1
SpeedRacer Pedals
7,800
5,810
1,990
1
FirmControl Brakes
10,311
8,612
1,699
1
Sensor Brakes
3,417
3,388
29
32767
Standard Wheelset
25,108
24,000
1,108
0
Chain Ring Kit
14,688
12,000
2,688
Casset Kit
13,409
12,000
1,409
Drivetrain Kit
13,944
12,000
1,944
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Microsoft Excel 16.0 Answer Report
Worksheet: [NP_EX_8-1_NaifBinkassim.xlsx]Product Mix
Report Created: 8/1/2021 12:38:16 AM
Result: Solver found a solution.
All Constraints and optimality conditions are satisfied.
Solver Engine
Solver Options
Objective Cell (Max)
Cell
Name
Original Value
Final Value
$E$24
Net Income % Difference
0.00%
3.51%
Variable Cells
Cell
Name
Original Value
Final Value
$B$11:$E$11
$B$11
Optimal Product (Units) Athena I
3,000
2,809
$C$11
Optimal Product (Units) Athena II
3,000
3,381
$D$11
Optimal Product (Units) Athena III
3,000
2,422
$E$11
Optimal Product (Units) Athena Racer
3,000
3,388
Constraints
Cell
Name
Cell Value
Formula
$C$19
Units Produced and Sold Optimal Mix
12,000 $C$19=12000
$J$28:$J$46 >= 0
$J$28
Carbon Frame Remaining
223 $J$28>=0
$J$29
UltraLite Carbon Frame Remaining
502 $J$29>=0
$J$30
Ultraforce Shifters Remaining
0 $J$30>=0
$J$31
Ultraforce II Shifters Remaining
0 $J$31>=0
$J$32
High Response Shifters Remaining
494 $J$32>=0
$J$33
Front Derailleur X2 Remaining
1,069 $J$33>=0
$J$34
Front Derailleur X3 Remaining
0 $J$34>=0
$J$35
Rear Derailleur X2 Remaining
1,219 $J$35>=0
$J$36
Rear Derailleur X3 Remaining
334 $J$36>=0
$J$37
Standard Crank Arm Remaining
1,592 $J$37>=0
$J$38
Extended Crank Arm Remaining
112 $J$38>=0
$J$39
LightTouch Pedals Remaining
2,810 $J$39>=0
$J$40
SpeedRacer Pedals Remaining
1,990 $J$40>=0
$J$41
FirmControl Brakes Remaining
1,699 $J$41>=0
$J$42
Sensor Brakes Remaining
29 $J$42>=0
$J$43
Standard Wheelset Remaining
1,108 $J$43>=0
$J$44
Chain Ring Kit Remaining
2,688 $J$44>=0
$J$45
Casset Kit Remaining
1,409 $J$45>=0
$J$46
Drivetrain Kit Remaining
1,944 $J$46>=0
$B$11:$E$11 >= 2000
$B$11
Optimal Product (Units) Athena I
2,809 $B$11>=2000
$C$11
Optimal Product (Units) Athena II
3,381 $C$11>=2000
$D$11
Optimal Product (Units) Athena III
2,422 $D$11>=2000
$E$11
Optimal Product (Units) Athena Racer
3,388 $E$11>=2000
$B$11:$E$11=Integer
Integer
Integer
Integer
Integer
Integer
Status
Slack
Binding
0
Not Binding
223
Not Binding
502
Binding
0
Binding
0
Not Binding
494
Not Binding
1,069
Binding
0
Not Binding
1,219
Not Binding
334
Not Binding
1,592
Not Binding
112
Not Binding
2,810
Not Binding
1,990
Not Binding
1,699
Not Binding
29
Not Binding
1,108
Not Binding
2,688
Not Binding
1,409
Not Binding
1,944
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Not Binding
809
Not Binding
1,381
Not Binding
422
Not Binding
1,388
Athena Cycles
Terms and Definitions
Term
Definition
Cost-Volume-Profit Analysis
Revenue
Variable Expenses
Fixed Expenses
Expenses that must be paid regardless of sales volume
Break-Even Point
The point where total revenue equals total expenses
Product Mix
Optimal Product Mix
A branch of financial analysis that studies the relationship
between expenses, sales volume, and profitability
The total income generated from sales of a product or
service
Expenses that change in proportion to the volume of
production
The combination of different products offered by the
company to the consumer
The product mix that maximizes profits subject to
constraints on production and consumer choice