Case Study Presentations and Discussions

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Studentnumber2-CaseStudyProject_Ward-2.xlsx

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.
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.

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.
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.