Chat with us, powered by LiveChat Case 4.1 Blending Aviation Gasoline at Jansen Gas, page 214 For the project, you will write a proposal for the case study and submit the | Wridemy

Case 4.1 Blending Aviation Gasoline at Jansen Gas, page 214 For the project, you will write a proposal for the case study and submit the

Case 4.1 Blending Aviation Gasoline at Jansen Gas, page 214

For the project, you will write a proposal for the case study and submit the final product. The final product will be an Excel spreadsheet used to create the model and either a Word document or a Power Point presentation.  The final project will be graded not only on the accuracy of the quantitative solutions, but also the analytical approach used and the presentation of the results.  Keep in mind that this course is designed for individuals interested in Business Management.  As such, the final presentation should be appropriate for a presentation in a professional setting.  It will be necessary to clearly explain the case study and present the results in a professional, yet easily understood manner.

Use this discussion forum to submit your case study and review others students' submissions.  Please submit your Executive Summary (Abstract) and your Conclusions from your project. Review a minimum of one other case study report and provide comments / feedback to your classmate(s).

Student number 2- Discussion Post

Included is my presentation for Case Study 4.2 – Delinquent Accounts at GE Capital.  I created a model to maximize revenue over the course of 4 months and sensitivity analyses to determine how various changes in the data affect total revenue. 

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Student Number 1-

My presentation was on case study 4.1 Blending Aviation Gasoline at Jansen Gas. I used a blending model that shows the optimal blending plan of four feedstocks producing three types of gas and maximizes total revenue. I altered the original by removing the constraint of Gas A >= Gas B and added a calculation of the difference in total revenues. A second altered model adds the Octane (medium TEL) to the feedstocks and calculates the difference in total revenue. A third altered model adds and altered max Reid level and max Reid level change input and then I ran a one-way analysis to show that there are no feasible solutions if each gas type required a reduction in the max Reid pressure. I did a model with similar changes but to the min octane ratings that showed that if Gas A was produced at a low TEL level the min octane rating could only increase to 91. Finally, the last model alters the value per gallon of feedstocks and price per gallon of the gas types then I ran a one-way analysis to prove that if all unit prices of the gas types and all unit values of the feedstocks increase by the same percentage, then the optimal blending plan remains the same. 

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Data

GM Capital
DMM if account receives a letter
Chris Albright: There is no 0-due row because a letter is never sent to a 0-due account.
FromTo 0-due 1-due 2-due 3-due Bad debt
1-due 60% 10% 30% 0% 0%
Contact Methods Time Required (Min): Time Required (Hrs): 2-due 15% 15% 40% 30% 0%
Phone Call 40 0.67 3-due 0% 0% 20% 60% 20%
Letter 20 0.33 Bad debt 0% 0% 0% 0% 100%
No Contact 0 0.00
Minutes Hours
Time Available 300000 5000 DMM if account receives a phone call
Chris Albright: There is no 0-due row because a phone call is never made to a 0-due account.
Chris Albright: There is no 0-due row because a letter is never sent to a 0-due account. FromTo 0-due 1-due 2-due 3-due Bad debt
1-due 70% 20% 10% 0% 0%
Average Monthly Payment $ 10,000.00 2-due 30% 25% 30% 15% 0%
3-due 0% 0% 50% 40% 10%
No of Accounts Bad debt 0% 0% 0% 0% 100%
0-Due 40000
1-Due 4000
2-Due 4000 DMM for do-nothing action
3-Due 2000 FromTo 0-due 1-due 2-due 3-due Bad debt
Bad Debt 0 0-due 90% 10% 0% 0% 0%
1-due 20% 25% 55% 0% 0%
MONTH 1: 2-due 10% 10% 20% 60% 0%
Send Letter Phone Call Do Nothing 3-due 0% 0% 10% 40% 50%
0-Due 0 0 40000 40000 = 40000 Bad debt 0% 0% 0% 0% 100%
1-Due 4000 0 0 4000 = 4000
2-Due 0 3500 500 4000 = 4000 Number of Accounts 0-due 1-due 2-due 3-due Bad debt
3-Due 0 2000 0 2000 = 2000 40000 4000 4000 2000 0
Bad Debt 0 0 0 0 = 0 Earnings Matrix
Total: 80000 220000 0.00 300000.00 <= 300000 FromTo 0-due 1-due 2-due 3-due Bad debt Total:
0-Due $ 10,000.00 $ – 0 $ – 0 $ – 0 $ – 0 $ 10,000.00
MONTH 2: Send Letter Phone Call Do Nothing 1-due $ 20,000.00 $ 10,000.00 $ – 0 $ – 0 $ – 0 $ 30,000.00
0-Due 0 0 39500 39500 = 39500 2-due $ 30,000.00 $ 20,000.00 $ 10,000.00 $ – 0 $ – 0 $ 60,000.00
1-Due 5050 0 275 5325 = 5325 3-due $ 40,000.00 $ 30,000.00 $ 20,000.00 $ 10,000.00 $ – 0 $ 100,000.00
2-Due 0 3350 0 3350 = 3350 Bad debt $ – 0 $ – 0 $ – 0 $ – 0 $ – 0 $ – 0
3-Due 0 1625 0 1625 = 1625
Bad Debt 0 0 200 200 = 200
Total: 101000 199000 0 300000 <= 300000
MONTH 3: Send Letter Phone Call Do Nothing
0-Due 0 0 39640 39640 = 39640
1-Due 4995 366 0 5361 = 5361
2-Due 0 3484 0 3484 = 3484
3-Due 0 1153 0 1153 = 1153
Bad Debt 0 0 363 363 = 363
Total: 99900 200100 0 300000 <= 300000
MONTH 4: Send Letter Phone Call Do Nothing
0-Due 0 0 39975 39975 = 39975
1-Due 4096 1312 0 5408 = 5408
2-Due 0 3157 0 3157 = 3157
3-Due 0 984 0 984 = 984
Bad Debt 0 0 478 478 = 478
Total: 81910 218090 0 300000 <= 300000
Revenue
Send Letter Phone Call Do Nothing
0-Due $ – 0 $ – 0 $ 9,000.00
1-Due $ 13,000.00 $ 16,000.00 $ 6,500.00
2-Due $ 11,500.00 $ 17,000.00 $ 7,000.00
3-Due $ 10,000.00 $ 14,000.00 $ 6,000.00
Bad Debt $ – 0 $ – 0 $ – 0
Total: $ 2,009,988,625.00
Alternate Strategy (No Contact) M1 M2 M3 M4
0-Due 40000 $ 360,000,000.00 37200 $ 334,800,000.00 34880 $ 313,920,000.00 32863 $ 295,767,000.00
1-Due 4000 $ 26,000,000.00 5400 $ 35,100,000.00 5390 $ 35,035,000.00 5228.5 $ 33,985,250.00
2-Due 4000 $ 28,000,000.00 3200 $ 22,400,000.00 3930 $ 27,510,000.00 4070.5 $ 28,493,500.00
3-Due 2000 $ – 0 3200 $ 19,200,000.00 3200 $ 19,200,000.00 3638 $ 21,828,000.00
Bad Debt 0 1000 $ – 0 2600 $ – 0 4200 $ – 0
Total: $ 414,000,000.00 50000 $ 411,500,000.00 50000 $ 395,665,000.00 50000 $ 380,073,750.00 $ 1,601,238,750.00
Difference between initial contact strategy and alternate, no contact strategy: $ 408,749,875.00

Data_STS

1 1
$C$11 $B$7
1 1
5000 5
6000 40
100 5
$E$65 $B$8
Hours Available 1
5
20
5
$E$65
Time Required (Phone Call)
Time Required (Letter)

STS_1

Oneway analysis for Solver model in Data worksheet Sensitivity of Total_Revenue to Hours Available
Hours Available (cell $C$11) values along side, output cell(s) along top Data for chart
Total_Revenue 1 Total_Revenue
5000 $ 2,009,988,625.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,009,988,625.00 DIFFERENCE:
5100 $ 2,015,045,935.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,015,045,935.00 $ 5,057,310.00
5200 $ 2,019,240,100.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,019,240,100.00 $ 4,194,165.00
5300 $ 2,023,254,775.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,023,254,775.00 $ 4,014,675.00
5400 $ 2,026,730,200.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,026,730,200.00 $ 3,475,425.00
5500 $ 2,029,936,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,029,936,000.00 $ 3,205,800.00
5600 $ 2,033,141,800.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,033,141,800.00 $ 3,205,800.00
5700 $ 2,036,347,600.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,036,347,600.00 $ 3,205,800.00
5800 $ 2,039,416,600.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,039,416,600.00 $ 3,069,000.00
5900 $ 2,041,142,800.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,041,142,800.00 $ 1,726,200.00
6000 $ 2,042,869,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,042,869,000.00 $ 1,726,200.00
NOTE: The biggest revenue increase happens with an increase of 100 hours; after 100 hours, the revenue increases but to a lesser degree.

Sensitivity of Total_Revenue to Hours Available

5000 5100 5200 5300 5400 5500 5600 5700 5800 5900 6000 2009988625 2015045935 2019240100 2023254775 2026730 200 2029936000 2033141800 2036347600 2039416600 2041142800 2042869000

Hours Available ($C$11)

When you select an output from the dropdown list in cell $K$4, the chart will adapt to that output.

STS_2

Twoway analysis for Solver model in Data worksheet Sensitivity of Total_Revenue to Time Required (Letter) Sensitivity of Total_Revenue to Time Required (Phone Call)
Output and Time Required (Phone Call) value for chart Output and Time Required (Letter) value for chart Total_Revenue
Time Required (Phone Call) (cell $B$7) values along side, Time Required (Letter) (cell $B$8) values along top, output cell in corner Output Time Required (Phone Call) value Output Time Required (Letter) value
Total_Revenue 5 10 15 20 1 Total_Revenue 5 1 1 Total_Revenue 5 1
5 $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
OutputValues_1 2048689000 DIFFERENCE: OutputValues_1 2048689000
10 $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
s ward: Solver found a solution. All constraints and optimality conditions are satisfied. $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
2048689000 0 2048689000 0
15 $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
s ward: Solver found a solution. All constraints and optimality conditions are satisfied. s ward: Solver found a solution. All constraints and optimality conditions are satisfied. $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
2048689000 0 2048689000 0
20 $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
s ward: Solver found a solution. All constraints and optimality conditions are satisfied. s ward: Solver found a solution. All constraints and optimality conditions are satisfied. $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
2048689000 0 2048689000 0
25 $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
s ward: Solver found a solution. All constraints and optimality conditions are satisfied. s ward: Solver found a solution. All constraints and optimality conditions are satisfied. $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
2048689000 0
30 $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
s ward: Solver found a solution. All constraints and optimality conditions are satisfied. s ward: Solver found a solution. All constraints and optimality conditions are satisfied. $ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,048,689,000.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
2048689000 0
35 $ 2,043,247,694.44
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
s ward: Solver found a solution. All constraints and optimality conditions are satisfied. s ward: Solver found a solution. All constraints and optimality conditions are satisfied. $ 2,041,886,200.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,039,195,992.19
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,033,135,074.07
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
2043247694.44 -5441305.55999994
40 $ 2,032,527,913.79
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
s ward: Solver found a solution. All constraints and optimality conditions are satisfied. s ward: Solver found a solution. All constraints and optimality conditions are satisfied. $ 2,028,923,074.07
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
s ward: Solver found a solution. All constraints and optimality conditions are satisfied. $ 2,023,379,944.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
$ 2,009,988,625.00
s ward: Solver found a solution. All constraints and optimality conditions are satisfied.
2032527913.79 -10719780.6500001
NOTE: There is not a difference in revenue generated if we decrease the amount of time spent on a letter, but there is an increase if the amount of income if the time spent on a phone call decreases – indicating that approximately 20-30 minutes speant on each item is optimal.

Sensitivity of Total_Revenue to Time Required (Letter)

5 10 15 20 2048689000 2048689000 2048689000 2048689000

Time Required (Letter) ($B$8)

Sensitivity of Total_Revenue to Time Required (Phone Call)

5 10 15 20 25 30 35 40 2048689000 2048689000 2048689000 2048689000 2048689000 2048689000 2043247694.4400001 2032527913.79

Time Required (Phone Call) ($B$7)

By making appropriate selections in cells $K$4, $L$4, $O$4, and $P$4, you can chart any row (in left chart) or column (in right chart) of any table to the left.

,

Jansen Gas

Blending Aviation Gasoline at Jansen Gas Range names used
Blending_plan =Sheet1!$B$18:$D$21
Data on Feedstocks Value per gallon Reid vapor pressure Octane (low TEL) Octane (high TEL) Gallons_available__1000s =Sheet1!$G$18:$G$21
Alkylate $4.50 5 98 107 Gallons_produced_A =Sheet1!$B$27
CCG $2.50 8 87 93 Gallons_produced_B =Sheet1!$D$27
SRG $2.25 4 83 89 Gallons_sold__1000s =Sheet1!$B$22:$D$22
Isopentane $2.35 20 101 108 Gasoline_required__1000s =Sheet1!$B$24:$D$24
Leftover__1000s =Sheet1!$H$18:$H$21
Data on Gasoline Gas A Gas B Gas C Max_Ried_vapor_pressure_allowed =Sheet1!$H$30:$J$30
Gallons required (1000s) 120 130 120 Min_octane_required =Sheet1!$H$26:$J$26
Price per gallon $3.00 $3.50 $4.00 Octane_level_obtained =Sheet1!$H$24:$J$24
Min octane required 90 97 100 Ried_vapor_pressure_obtained =Sheet1!$H$28:$J$28
Max Reid pressure 7 7 7 Total_revenue__Millions =Sheet1!$B$30
TEL level Low High High Used =Sheet1!$E$18:$E$21
Blending plan Gas A Gas B Gas C Used Gallons available (1000s) Leftover (1000s)
Alkylate 37.13 34.31 68.56 140.00 <= 140 0.00
CCG 87.89 0.00 0.00 87.89 <= 130 42.11
SRG 4.90 73.46 61.64 140.00 <= 140 0.00
Isopentane 0.08 22.23 24.77 47.09 <= 110 62.91
Gallons sold (1000s) 130.00 130.00 154.97
>= >= >= Quality Constraints Gas A Gas B Gas C
Gasoline required (1000s) 120 130 120 Octane level obtained 11700.00 12610.00 15497.26
>= >= >=
Production Constraint Gas A Gas B Min octane required 11700.00 12610.00 15497.26
Gallons produced 130.00 >= 130.00
Ried vapor pressure obtained 910.00 910.00 1084.81
Objective to Maximize <= <= <=
Total revenue (Millions) $ 1,718.02 Max Ried vapor pressure allowed 910.00 910.00 1084.81

Altered without A >= B

Blending Aviation Gasoline at Jansen Gas Range names used
Altered_Total_revenue__Millions ='Altered without A >= B '!$B$26
Data on Feedstocks Value per gallon Reid vapor pressure Octane (low TEL) Octane (high TEL) Blending_plan ='Altered without A >= B '!$B$17:$D$20
Alkylate $4.50 5 98 107 Gallons_available__1000s ='Altered without A >= B '!$G$17:$G$20
CCG $2.50 8 87 93 Gallons_sold__1000s ='Altered without A >= B '!$B$21:$D$21
SRG $2.25 4 83 89 Gasoline_required__1000s ='Altered without A >= B '!$B$23:$D$23
Isopentane $2.35 20 101 108 Leftover__1000s ='Altered without A >= B '!$H$17:$H$20
Max_Ried_vapor_pressure_a

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