Instructivo Cost Excel

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    Quick Tour of Microsoft Excel Solver

    Month Q1 Q2 Q3 Q4 Total

    Seasonality 0.9 1.1 0.8 1.2

    Units Sold 3,592 4,390 3,192 4,789 15,962

    Sa es Revenue $143,662 $175,587 $127,700 $191,549 $638,498 Color CodinCost of Sales 89,789 109,742 79,812 119,718 399,061

    Gross Margin 53,873 65,845 47,887 71,831 239,437 Tar et cell

    Sa es orce 8,000 8,000 9,000 9,000 34,000 Chan in cellsAdvertising 10,000 10,000 10,000 10,000 40,000

    Cor !ver ea 21,549 26,338 19,155 28,732 95,775 ConstraintsTotal Costs 39,549 44,338 38,155 47,732 169,775

    "rod# "ro$t $14,324 $21,507 $9,732 $24,099 $69,662

    "ro$t Margin 10% 12% 8% 13% 11%

    "roduct "rice $40.00

    "roduct Cost $25.00

    The following ea!"les show #o how to wor with the !o&el a'o(e to sol(e for one (ale or se(eral

    (ales to !ai!i)e or !ini!i)e another (ale, enter an& change constraints, an& sa(e a "ro'le! !o&el.

    Row Contains Explanation3 *ie& (ales +easonalit# factor sales are higher in -arters 2 an& 4,

    an& lower in -arters 1 an& 3.

    5 35/3/113000 *orecast for nits sol& each -arter row 3 contains

    the seasonalit# factor row 11 contains the cost of

    a&(ertising.

    6 5/$$18 +ales re(ene forecast for nits sol& row 5 ti!es

    "rice cell 18.

    7 5/$$19 Cost of sales forecast for nits sol& row 5 ti!es

    "ro&ct cost cell 19.

    8 67 ross !argin sales re(enes row 6 !ins cost of

    sales row 7.

    10 *ie& (ales +ales "ersonnel e"enses.

    11 *ie& (ales &(ertising '&get a'ot 6.3% of sales.

    12 0.15/6 Cor"orate o(erhea& e"enses sales re(enes row 6

    ti!es 15%.

    13 +:1012 Total costs sales "ersonnel e"enses row 10 "ls

    a&(ertising row 11 "ls o(erhea& row 12.

    15 813 ;ro&ct "ro

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    Ane wa# #o can se +ol(er is to &eter!ine the !ai!! (ale of a cell '# changing another cell. The

    two cells !st 'e relate& throgh the for!las on the worsheet. Bf the# are not, changing the (ale in

    one cell will not change the (ale in the other cell.

    *or ea!"le, in the sa!"le worsheet, #o want to now how !ch #o nee& to s"en& on a&(ertising

    to generate the !ai!! "ro3 when the sales res"onse is lowest. se +ol(er to &eter!ine

    the 'est -arterl# allocation.

    &iscar& the reslts an& retrn all cells to their for!er (ales.

    ?o(e Dst ase& +ol(er to sol(e a !o&eratel# co!"le nonlinear o"ti!i)ation "ro'le! that is, to

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    Example $) (roduct mix pro"lem wit diminising pro4t margin5

    ?or co!"an# !anfactres TIs, stereos an& s"eaers, sing a co!!on "arts in(entor# Color Codingof "ower s""lies, s"eaer cones, etc. ;arts are in li!ite& s""l# an& #o !st &eter!ine

    the !ost "ro

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    cell

    ing cells

    raints

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    Example 8) Transportation (ro"lem5

    :ini!i)e the costs of shi""ing goo&s fro! "ro&ction "lants to warehoses near !etro"olitan &e!an&

    centers, w i e not ecee ing t e s"" # a(ai a e ro! eac " ant an !eeting t e e!an ro! eac

    !etro"olitan area.

    'u()er to shi fro( lant to /arehouse y at intersection Color Coding"lants Total San 5ran .enver Chicago .allas 'e/ 6or&

    +. Carolina 5 1 1 1 1 1 TargetTennessee 5 1 1 1 1 1

    ri)ona 5 1 1 1 1 1 Chan

    Totals 3 3 3 3 3 Const

    .e(ands )y 7hse ++, 180 80 200 160 220

    "lants Suly Shiing costs fro( lant to /arehouse y at intersection

    +. Carolina 310 10 8 6 5 4

    Tennessee 260 6 5 4 3 6

    ri)ona 280 3 4 5 5 9

    Shiing .19 $19 $17 $15 $13 $19

    The "ro'le! "resente& in this !o&el in(ol(es the shi"!ent of goo&s fro! three "lants to

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    cell

    ing cells

    raints

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    Staff Scheduling

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    Example 9) (ersonnel sceduling for an Amusement (ark5

    *or e!"lo#ees woring

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    Staff Scheduling

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    Target cell

    Changing cells

    Constraints

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    Example ,) :orking Capital Management5

    Jeter!ine how to in(est ecess cash in 1!onth, 3!onth an& 6!onth CJs so as to

    !ai!i)e interest inco!e while !eeting co!"an# cash re-ire!ents "ls safet# !argin.

    6ield Ter( "urchase C.s in (onths

    1+(o C.s 1.0% 1 1, 2, 3, 4, 5 an& 6 "nterest

    3+(o C.s 4.0% 3 1 an& 4 Earned:

    9+(o C.s 9.0% 6 1 Total .;6;--

    Month: Month # Month $ Month % Month & Month ' Month ( End Color Codi"nit ash: $400,000 $205,000 $216,000 $237,000 $158,400 $109,400 $125,400

    Matur Ds: 100,000 100,000 110,000 100,000 100,000 120,000

    "nterest: 1,000 1,000 1,400 1,000 1,000 2,300

    #)mo Ds: 100,000 100,000 100,000 100,000 100,000 100,000

    %)mo Ds: 10,000 10,000

    ()mo Ds: 10,000

    ash *ses: 75,000 10,000 20,000 80,000 50,000 15,000 60,000

    End ash: $205,000 $216,000 $237,000 $158,400 $109,400 $125,400 $187,700

    290000

    Bf #ore a

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    o(er in !onth 4 is !ore than sHcient for the e-i"!ent "a#!ent in !onth 5. ?o(e tra&e& a'ot $460 in

    interest inco!e to gain this Pei'ilit#.

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    ng

    Target cell

    Changing cells

    Constraints

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    Example %) E

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    allocations in 'oth cases that sr"ass the rle of 20 "ercent across the 'oar&.

    ?o can earn a ig er rate o retrn 17.1 "ercent or t e sa!e ris , or #o can re ce #or ris wit ot

    gi(ing " an# retrn. These two allocations 'oth re"resent eHcient "ortfolios.

    +o (er is" a#s a !essage as ing i #o want to reset t e crrent +o (er o"tion settings wit t e settings

    !pt ons, c ic 3oa Mo e , se ect ce s J21J29 on t e wor s eet, an t en c ic !'nti t e

    Solver (arameters&ialog 'o is &is"la#e&. Clic Solve. s #o can see, +ol(er

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    E,ample (: +alue o- a resistor in an electrical circuit.

    *in& the (ale of a resistor in an electrical circit that will &issi"ate the charge to 1

    "ercent of its original (ale within onetwentieth of a secon& after the switch is close&.

    +witchM

    -0 9 (olts Color Coding-QtR 0.09 (olts

    t 0.05 secon&s Target cellatter# Ca"acitor C Bn&ctor N N 8 henr#s

    C 0 fara&s Changing cells

    Oesistor O 300 oh!s Constraints O

    1=N/C 1250 -QtR 0.25

    O=2/N2 351.5625

    +>OT1516 29.973947

    CA+T/17 0.0720365

    O/T=2/N 0.9375

    >0/ES;19 3.5244506

    This !o&el &e"icts an electrical circit containing a 'atter#, switch, ca"acitor, resistor, an&in&ctor. Gith the switch in the left "osition, the 'atter# charges the ca"acitor. Ghen the switch

    is t rown to t e rig t, t e ca"acitor isc arges t rog t e in ctor an t e resistor, ot o

    which &issi"ate electrical energ#.

    sing irchho@s secon& law, #o can for!late an& sol(e a &i@erential e-ation to &eter!ine

    how the charge on the ca"acitor (aries o(er ti!e. The for!la relates the charge -QtR at ti!e t

    to t e in ctance N, resistance O, an ca"acitance C o t e circit e e!ents.

    se +o (er to "ic an a""ro"riate (a e or t e resistor O gi(en (a es or t e in ctor N an

    the ca"acitor C that will &issi"ate the charge to one "ercent of its initial (ale within

    onetwentieth of a secon& after the ti!e the switch is thrown.

    (ro"lem Speci4cations

    Target cell 15 oal is to set to (ale of 0.09.

    C anging ce 12 Oesistor.

    Constraints J15J20 lge'raic soltion to irchho@s law.

    This "ro'le! an& soltion are a""ro"riate for a narrow range of (ales the fnction re"resente&

    # t e c arge on t e ca"acitor o(er ti!e is acta # a a!"e sine wa(e.