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Ch15 Evans BA1e

Jun 02, 2018

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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