16 Apr 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).
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Studentnumber2-Discussionpost-CaseStudy4.2.docx
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Studentnumber1Discussionpost-4.1BlendingAviationgas.Finalproject.docx
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Studentnumber2-CaseStudyProject_Ward-2.xlsx
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StudentNumber-1-4.1BlendingAviationGasolineatJansenGas.xlsx
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Studentnumber-2CaseStudy4.2.pptx
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Studentnumber1-4.1BlendingAviationgas.Finalproject.pptx
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CaseStudyPresentationInstructionsdocx.docx
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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