Case Study Presentations and Discussions
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. |
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| From\To | 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. |
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Chris Albright: There is no 0-due row because a letter is never sent to a 0-due account. | From\To | 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 | From\To | 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 | From\To | 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. |
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. |
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.