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D.A. Branch & Sons
DATA
Month 1 2 3 4 5
Net Expenditures 50,000$ (12,000)$ 23,000$ (20,000)$ 41,000$
Cash balance requirement 10,000$ 10,000$ 10,000$ 10,000$ 10,000$
Current balance 200,000$
Investment 1 2 3 4 5
A 50,914$ 22,885$ -$ 13$ -$
B 89,086$ 40,282$ -$ 110,633$
C -$
Total 140,000$ 63,167$ -$ 110,646$ -$
Returns 1 2 3 4 5A 51,169$ 22,999$ -$ 13$B 90,645$ 40,987$C
Total 51,169$ 22,999$ 90,645$ 41,000$
Cash Available 10,000$ 10,002$ 10,001$ 10,000$ 10,000$
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6
(13,000)$
10,000$
6 RoR
13,000$ 0.50%
1.75%
2.30%
13,000$
6 7-$ 13,065$-$ 112,569$
-$
-$ 125,634.08 125,634.09 Solution without integer constraints
10,000$
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J&M Manufacturing
Data
Grill Model Selling Price Variable Cost Min Sales Max Sales
A 250.00$ 210.00$ 0 4000
B 300.00$ 240.00$ 0 3000
C 400.00$ 300.00$ 500 2000D 650.00$ 520.00$ 500 1000
Production rates (hours/unit) A B C D
Stamping 40 30 10 10
Painting 20 10 10
Assembly 25 15 15 12
Inspection 20 20 25 15
Packaging 50 40 40 30
MODEL Unit Production Time A B C D
Stamping 0.03 0.03 0.10 0.10
Painting 0.05 0.10 0.10
Assembly 0.04 0.07 0.07 0.08
Inspection 0.05 0.05 0.04 0.07
Packaging 0.02 0.03 0.03 0.03
Numbers Produced 3856 0 1236 1000
Unit Profit 40.00$ 60.00$ 100.00$ 130.00$
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Hour Available
320
320
320
320
320
Hours Used
320.00
223.60
319.97
308.91
141.35
407,840.00$ TOTAL PROFIT 407,857.14$ TOTAL PROFIT without integer constraints
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1-BD 2-BD 3-BD
Number to build 40.00 66.00 158.00
Unit Profit 45.00$ 60.00$ 75.00$ 17,610.00$ TOTAL PROFIT
Budget 450.00$ 600.00$ 750.00$ 176,100.00$ =
3 BD Req -0.25 -0.25 0.75 92.00 >=
LP Solution 18,000.00$
IP Solution 17,610.00$
Difference (390.00)$
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MAX 45 X1 + 60 X2 +75 X3
Subject To
450 X1 + 600 X2 + 750 X3 = 25% ( X1 + X2 + X3)
0 X3 >= 25% ( X1 + X2 + X3)
0 X1, X2, X3 >= 0 and integer
0
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usands)
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Radio TV Magazine
How many ads to purchase 9 10 12
Cost/Ad 500.00$ 2,000.00$ 200.00$
Exposure Value/Ad 2,000.00 4,000.00 2,700.00
MIN 0 10 6
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26,900.00$ TOTAL COST
90,400.00 >= 90,000.00
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BREWER SERVICES
Shift
Staff
Starting
In This
Shift
Total
Temps
During
Shift
Net Staff
Needed
Minimum
Staff
Needed
8 to 9 3 3 >= -6 59 to 10 0 3 >= 1 12
10 to 11 1 4 >= 4 15
11 to Noon 0 4 >= 1 12
Noon to 1 2 3 >= 0 11
1 to 2 6 9 >= 7 18
2 to 3 0 8 >= 6 17
3 to 4 0 8 >= 8 19
4 to 5 0 6 >= 3 14
TOTAL 12
11 Permanent Staff
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Van Nostrand Hospital
Shift
Nurses
Starting In
This Shift
Total Nurses
During Shift
Minimum
Nurses Needed
1 3 5 >= 5
2 9 12 >= 123 5 14 >= 14
4 6 11 >= 8
5 8 14 >= 14
6 2 10 >= 10
TOTAL 33
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Possible Patterns 60 83 102 110 120
1 15 0 0 0 0
2 1 1 1 0 3
3 0 0 0 6 2
4 1 0 0 0 0
5 0 0 0 0 16 1 0 0 0 7
7 0 1 8 0 0
8 1 10 0 0 0
9 1 1 1 1 1
10 0 2 1 2 2
TOTAL PRODUCED 13612 875 875 3060 6065
>= >= >= >= >=
Forecast (rolls) 1620 520 840 2640 500
Possible Patterns USED
1 820
2 437
3 437
4 0
5 383
6 437
7 0
8 0
9 438
10 0
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130 165 LENGTH SCRAP Ribbon Length
0 0 900 0 900
1 1 900 0
0 0 900 0 SCRAP VALUE
0 5 885 15 0.07
6 0 900 00 0 900 0
0 0 899 1
0 0 890 10
2 1 900 0
0 1 893 7
3611 875 0.000 TOTAL SCRAP VALUE
>= >=
740 680
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Hatch Financial
Analyst Gary Salt Lake City Fresno
Arlene 8,500.00$ 6,000.00$ 5,000.00$
Bobby 5,000.00$ 8,000.00$ 12,000.00$Charlene 9,500.00$ 14,000.00$ 17,000.00$
Douglas 4,000.00$ 8,000.00$ 13,000.00$
Emory 7,000.00$ 3,500.00$ 4,500.00$
12,500.00$ TOTAL MOVING COST
Analyst Gary Salt Lake City Fresno
Arlene 0 0 1 1 = 1
Bobby 0 0 0 0 = 1
Charlene 0 0 0 0 = 1
Douglas 1 0 0 1 = 1
Emory 0 1 0 1 = 1
1 1 1
= = =
1 1 1
Moving Cost To
ASSIGNMENTS
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Arlene to Fresno
Douglas to Gary
Emory to Salt Lake City
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Riesemberg Medical Devices
Project NPV
Internal
Engineers
Additional
Costs
1 600,000$ 9 196,000$
2 680,000$ 12 400,000$
3 550,000$ 7 70,000$4 400,000$ 4 180,000$
5 350,000$ 8 225,000$
6 725,000$ 10 275,000$
7 340,000$ 8 130,000$
TOTAL COST 925,000$
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CHOSEN
0
1
11
0
1
0
4 NUMBER OF PROJECTS
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Blain Information Services
Project Development Time Testing Time
1 80 67
2 248 208
3 41 34
4 10 925 240 202
6 195 164
7 269 226
8 110 92
TOTAL 988 829
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Transfer Price CHOSEN PROJECT
23,520.00$ 1
72,912.00$ 1
12,054.00$ 1
32,340.00$ 070,560.00$ 1
57,232.00$ 0
79,184.00$ 1
32,340.00$ 1
290,570.00$
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Dannenfelser Design
Employee
Category Architecture Interior Design Combined Hourly Rate
Principal 15 5 18 150.00$
Sr. Designer 25 35 40 110.00$
Draftsman 40 30 60 75.00$Administrator 5 5 8 50.00$
Number of Projects 7 1 4
>= >= >=
1 1 1
Profit Per Project (000) 1,290.00$ 1,110.00$ 1,878.00$ 17,652.00$ TOTAL PROFIT
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Hours Needed
Hours
Available
182
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Anya's Diet
Food Cost/serving Calories Fat
Turkey sandwich 4.69$ 530 14
Baked potato soup 3.39$ 260 16
Whole grain chicken sandwich 6.39$ 750 28
Bacon turkey sandwich 5.99$ 770 28Southwestern refrigerated chicken wrap 3.69$ 220 8
Sesame chicken refrigerated chicken wrap 3.69$ 250 10
Yogurt 0.75$ 110 2
Raisin bran with skim milk 0.40$ 270 1
Cereal bar 0.43$ 110 2
1 cup broccoli 0.50$ 25 0.3
1 cup carrots 0.50$ 55 0.25
1 scoop protein powder 1.29$ 120 4
TOTAL COST & INTAKE 19.29$ 2160 74.6
>=
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Carbs Fiber Protein Number of Servings
73 4 28 0
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Josh Steele
Media Price Local exposure
National
exposure
FM radio spot 80.00$ 110 40
AM radio spot 65.00$ 55 20
Cityscape ad 250.00$ 80 5MetroWeekly ad 225.00$ 65 8
Hometown paper ad 500.00$ 400 70
Neighborhood paper ad 300.00$ 220 40
Downtown magazine ad 55.00$ 35 0
Choir journal ad 350.00$ 10 75
Professional organization magazine ad 300.00$ 20 65
TOTAL 19,945.00$ 11815 4005
=
LIMITS 20,000.00$ 4000
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Limit Number to run
30 >= 30
30 >= 23
24 >= 1024 >= -
10 >= 10
10 >= 10
15 >= -
12 >= 9
12 >= 8
100
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Josh Steele
Media Price Local exposure
National
exposure
FM radio spot 80.00$ 110 40
AM radio spot 65.00$ 55 20
Cityscape ad 250.00$ 80 5MetroWeekly ad 225.00$ 65 8
Hometown paper ad 500.00$ 400 70
Neighborhood paper ad 300.00$ 220 40
Downtown magazine ad 55.00$ 35 0
Choir journal ad 350.00$ 10 75
Professional organization magazine ad 300.00$ 20 65
TOTAL 18,750.00$ 11470 4280
=
LIMITS 20,000.00$ 4000
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Limit Realized Limit Number to run
Media
Chosen?
30 30 >= 30 1
30 30 >= 30 1
24 0 >= - -24 0 >= - -
10 10 >= 10 1
10 10 >= 10 1
15 0 >= - -
12 12 >= 8 1
12 12 >= 12 1
100 6
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Promotion Options Free Gig Demo CD Home CD Agent
2 1 1 0
Max 10 1 1 1
Cost 250.00$ 1,000.00$ 400.00$ 1,500.00$
Generated Paying Gigs 3 20 10 15
Unit Revenue Per Gig 600.00$
Total Revenue 28,200.00$
Total Profit 25,700.00$
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Fliers WebSite
2500 1
2500 1
TOTAL COST OF PROMOTION
0.08$ 400.00$ 2,500.00$ = 30
TOTAL PAYING GIGS
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General Appliance Corp NO FEASIBLE SOLUTION
DATA
Plant Cleveland Baltimore Chicago Phoenix Capacity
Marietta 12.60$ 14.35$ 11.52$ 17.58$ 1200
Minneapolis 9.75$ 16.26$ 8.11$ 17.92$ 800
Demand 150 350 500 1000
MODEL
ASSIGNMENTS Cleveland Baltimore Chicago Phoenix
Marietta 0 0 0 0
Minneapolis 0 0 0 0
0 0 0 0
SHIPMENT CAPAC Cleveland Baltimore Chicago Phoenix
Marietta 0 0 0 0
Minneapolis 0 0 0 0
Plant Cleveland Baltimore Chicago Phoenix Total Shipped
Marietta 150 0 0 1000 1150
Minneapolis 0 0 500 0 500
Demand Met 150 0 500 1000
COST 23,525.00$
Distribution Centers
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Shafer Office Supplies
Seattle San Francisc Las Vegas Tuscon Denver Charlotte
Atlanta - - - 1.00 - -
Lexington 1.00 - - - 1.00 -
Milwaukee - - 1.00 - - 1.00
Salt Lake City - 1.00 - - - -1.00 1.00 1.00 1.00 1.00 1.00
= = = = = =
1 1 1 1 1 1
LIMITS Seattle San Francisc Las Vegas Tuscon Denver Charlotte
Atlanta - - - 99,999 - -
Lexington 99,999 - - - 99,999 -
Milwaukee - - 99,999 - - 99,999
Salt Lake City - 99,999 - - - -
Seattle San Francisc Las Vegas Tuscon Denver Charlotte
Atlanta - - - 3,700 - -
Lexington 5,000 - - - 4,500 -
Milwaukee - - 4,200 - - 7,500
Salt Lake City - 16,000 - - - -
TOTAL 5000 16000 4200 3700 4500 7500
>= >= >= >= >= >=
Demand 5000 16000 4200 3700 4500 7500
Seattle San Francisc Las Vegas Tuscon Denver Charlotte
Atlanta 2.15$ 2.10$ 1.75$ 1.50$ 1.20$ 0.65$Lexington 1.95$ 2.00$ 1.70$ 1.53$ 1.10$ 0.55$
Milwaukee 1.70$ 1.85$ 1.50$ 1.41$ 0.95$ 0.40$
Salt Lake City 0.60$ 0.55$ 0.35$ 0.60$ 0.40$ 0.95$
TOTAL COST 56,880.00$
ASSIGN
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Minneapolis Fayetteville Birmingham Orlando Cleveland Philadelphia
- 1.00 1.00 1.00 - -
- - - - 1.00 1.00
1.00 - - - - -
- - - - - -1.00 1.00 1.00 1.00 1.00 1.00
= = = = = =
1 1 1 1 1 1
Minneapolis Fayetteville Birmingham Orlando Cleveland Philadelphia
- 99,999 99,999 99,999 - -
- - - - 99,999 99,999
99,999 - - - - -
- - - - - -
Minneapoli Fayetteville Birmingham Orlando Cleveland Philadelphia TOTAL Supply
- 9,000 3,300 12,000 - - 28000 = >= >=
3000 9000 3300 12000 9500 16000
Minneapolis Fayetteville Birmingham Orlando Cleveland Philadelphia
0.90$ 0.80$ 0.35$ 0.15$ 0.60$ 0.50$0.60$ 1.05$ 0.60$ 0.50$ 0.25$ 0.30$
0.40$ 0.95$ 0.70$ 0.70$ 0.35$ 0.40$
1.00$ 1.10$ 1.35$ 1.60$ 1.60$ 1.70$
MENTS
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1 2 3 4
Demand 750 500 400 950
Production (Y/N) 1 0 0 1 1,000.00$
9999 0 0 9999
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Cleaning Cost/Month
Inv Cost Per Gallon Per Month
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Fund Risk Type Return CHOSEN 5% Min Percentage
1 High Stock 11.98% 0 0%
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40% Max 5%
0% High Risk Limit 40% = 25%
0% Number invested in 6 >= 6
0%
0% TOTAL RETURN 12.673%40%
0%
40%
0%
40%
0%
0%
0%
40%
40%
0%
40%
Min IF funded
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e fund
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Publisher Groups Subs / Group Cost / Group CHOSEN GROUPS
A 5 460,000 1,560$ 1.00 5.00
B 10 50,000 290$ - -
C 4 225,000 1,200$ - -
D 20 24,000 130$ - -
E 5 1,120,000 2,500$ 1.00 5.00F 1 1,700,000 7,000$ 1.00 -
G 2 406,000 1,700$ 1.00 -
TOTAL COST 20,300.00$
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Max
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List 1 2 3 4 5 6
Cost (000) 1.00$ 1.00$ 1.00$ 1.50$ 1.50$ 1.50$
Number of Customers 9 9 10 9 16 12
CHOSEN 1 0 0 0 1 0
Total Cost 3.00$
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7 8 9 10
1.00$ 1.20$ 0.50$ 1.10$
7 9 3 11 based on survey
0 0 1 0