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{"sheet":"Documentation","index":0,"n_rows":6,"n_cols":7,"rows_kept":6,"cut":false,"hidden":true,"merged":[[2,0,2,6]]}
["K303 - Project 5",null,"Problem 1"]
["Spring 2020"]
[]
["Username:",null,"RASHAR",null,"Class Number:",null,7123]
["Prepared by:",null,"Raunav Sharma",null,"Lab Instructor's Name:",null,"Taryn Malher"]
["Today is:",null,{"$f":"TODAY()","v":"2020-06-19"}]

{"sheet":"Model and simulation","index":1,"n_rows":1048576,"n_cols":16384,"rows_kept":4500,"cut":true,"hidden":true,"merged":[],"bounds":{"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0}}
["Cost model",null,null,null,null,null,null,null,null,null,null,null,"Simulation"]
[]
["Item","Min","Most likely (i.e., mode)","Max","PERT mean","PERT alpha","PERT beta","BETA.INV",null,"\"Base-case\" total (sum of most likely figures)"]
["Construction Plans & Specs",700,800,1500,{"$f":"(B4+4*C4+D4)/6","v":900},{"$f":"6*(E4-B4)/(D4-B4)","v":1.5},{"$f":"6*(D4-E4)/(D4-B4)","v":4.5},{"$f":"_xlfn.BETA.INV(RAND(),F4,G4,B4,D4)","v":1168.2586879623852},null,{"$f":"SUM(C4:C31)","v":97000}]
["Building Permit",3600,3800,4500,{"$f":"(B5+4*C5+D5)/6","v":3883.3333333333335},{"$f":"6*(E5-B5)/(D5-B5)","v":1.8888888888888899},{"$f":"6*(D5-E5)/(D5-B5)","v":4.1111111111111098},{"$f":"_xlfn.BETA.INV(RAND(),F5,G5,B5,D5)","v":3708.0987568022392}]
["Excavation",1400,1500,2000,1566.6666666666667,1.6666666666666674,4.3333333333333321,1432.9126605999468,null,"Probabilistic total (sum of all BETA.INV functions)",null,null,{"$f":"J7","v":98870.099789072847},"Probabilistic total cost","Site work","Foundations","Framing","Exterior finishes","Major systems","Interior finishes"]
["Utilities",2100,2300,2900,2366.6666666666665,1.9999999999999989,4.0000000000000009,2502.5350188405559,null,{"$f":"SUM(H4:H31)","v":98870.099789072847},null,null,"Data table corner cell",{"$f":"J7","v":98870.099789072847},{"$f":"K10","v":11351.525023274497},{"$f":"K11","v":11972.245055680025},{"$f":"K12","v":7799.434427354252},{"$f":"K13","v":22444.651484511578},{"$f":"K14","v":15368.897160807734},{"$f":"K15","v":28877.573085527754}]
["Utility Connection Fees",3800,4000,4400,4033.3333333333335,2.3333333333333348,3.6666666666666652,3972.6325596693173,null,null,null,null,1,98761.62143450744,10895.261534370537,12470.223901205958,8109.6097054148449,20796.268300904849,15180.298797024901,30176.444562475568]
["Building Concrete",6500,7000,10500,7500,1.5,4.5,7607.4167055047747,"Work package",null,"Probabilistic total",null,2,99076.709821687356,11006.531254669695,12167.176179778355,7487.1296463660901,21286.343189361818,15553.16119050749,30728.148684215619]
["Outside Concrete",2800,3100,4500,3283.3333333333335,1.7058823529411771,4.2941176470588234,2931.9156895753031,1,"Site work",{"$f":"SUM(H4:H5,H7,H8)","v":11351.525023274497},null,3,97054.574241474198,10661.047116261583,11618.9529288536,7311.4625047337195,20998.092952016275,15853.800640394451,29777.800724447694]
["Rough Carpentry",6700,7500,9000,7616.666666666667,2.3913043478260878,3.6086956521739122,7799.434427354252,2,"Foundations",{"$f":"SUM(H6,H9:H10)","v":11972.245055680025},null,4,98120.960831372868,11181.232640802484,11555.871518434917,7074.6125408475727,21044.310107577185,16876.274498596762,29477.231183149735]
["Cabinets",5300,5600,6500,5700,2,4,5563.4502079151334,3,"Framing",{"$f":"H11","v":7799.434427354252},null,5,98554.262001799943,11372.408980291781,11592.540414668456,7877.7779976726151,20955.179353348438,16522.634021979964,29117.241349645308]
["Finish Carpentry",1400,1500,1700,1516.6666666666667,2.3333333333333348,3.6666666666666652,1554.2471157759744,4,"Exterior finishes",{"$f":"SUM(H15,H17:H18,H20)","v":22444.651484511578},null,6,99288.020828987457,11427.824292001114,14151.968595304626,7274.1847665361183,20296.296701158244,15891.840146379247,29396.178753527332]
["Interior Doors",1500,1700,2000,1716.6666666666667,2.600000000000001,3.399999999999999,1811.5519136811863,5,"Major systems",{"$f":"SUM(H24,H27:H28,H30)","v":15368.897160807734},null,7,98504.363761539658,10888.60436049925,11675.284873190445,7756.3884202434128,21661.964647369441,16024.309958204638,29409.50679487277]
["Exterior Doors",1900,2100,2300,2100,3,3,2067.277975660747,6,"Interior finishes",{"$f":"SUM(H12:H14,H16,H19,H21:H23,H25:H26,H29)","v":28877.573085527754},null,8,99717.359911934152,10686.265610717717,14405.420880320777,7236.0788436505745,20595.441560673968,15936.549034843816,29826.32234593726]
["Insulation",2500,2800,3200,2816.6666666666665,2.7142857142857131,3.2857142857142869,2666.8178228038273,null,null,null,null,9,99856.021618260129,10705.658521058605,11632.047793443031,7951.2307044801846,22193.012662589957,16460.268104077531,29921.833851106225]
["Exterior Siding",14000,15000,20000,15666.666666666666,1.6666666666666661,4.3333333333333339,16178.585040842181,null,null,null,null,10,100152.29327954695,11843.122398957927,11292.058579489771,7569.0898101619787,22844.536156533999,15688.641767949706,29880.868449725393]
["Roofing",2000,2200,3100,2316.6666666666665,1.7272727272727264,4.2727272727272734,2074.6981196754746,null,null,null,null,11,97044.074848591044,10894.735158341453,12499.618951239085,6839.7683552508888,21089.471400737373,15821.749799555095,29000.57198128233]
["Hardware",250,300,400,308.33333333333331,2.3333333333333326,3.6666666666666674,291.91027114184112,null,null,null,null,12,97233.565746269829,11409.148688554324,12594.710837230692,6960.6761737983697,21398.105053668936,14943.413359342325,28967.136580399096]
["Windows",1500,1800,2500,1866.6666666666667,2.2000000000000006,3.7999999999999994,2124.0903483331745,null,null,null,null,13,99658.740673764652,10955.944301088053,13766.363535100849,7772.6136040325491,22174.870163204672,15534.031045887226,28549.581968507024]
["Drywall",4000,5000,6000,5000,3,3,4715.2836225089713,null,null,null,null,14,100759.84356456579,11324.998635345401,12262.790700609552,7614.0622774337035,22613.02215547155,15733.737641194772,30227.896977147841]
["Painting",2000,2200,2500,2216.6666666666665,2.5999999999999983,3.4000000000000017,2256.9356670472371,null,null,null,null,15,98244.365000711507,10668.466126605545,11882.674030072505,8199.7354170840081,21708.860215703888,15516.925611991481,29236.355404803817]
["Floor Covering",5800,6200,6600,6200,3,3,6178.5758464172195,null,null,null,null,16,100053.50656192165,11551.634033370377,12141.086405584396,7450.2204837497775,22193.788046370089,15899.112828197667,29837.280088875905]
["Plumbing",5500,6300,7500,6366.666666666667,2.600000000000001,3.399999999999999,6205.7630915935515,null,null,null,null,17,99656.510858928901,10687.44963908417,12589.02714880287,7791.7022642813517,20808.523297515658,16236.254320294993,30515.484403638344]
["Bath Acces. & Mirrors",300,400,550,408.33333333333331,2.5999999999999996,3.4000000000000004,344.63444671679792,null,null,null,null,18,98482.546334273502,11247.623518356302,12635.275349763118,7777.4469160731769,21292.430080159214,14960.12776770561,29433.176683559144]
["Appliances",2500,2800,3500,2866.6666666666665,2.1999999999999993,3.8000000000000007,2580.0231529308894,null,null,null,null,19,98133.400201212557,11531.702311341556,13130.645609326137,7189.3208400139247,20693.839502333987,15363.215330202203,29380.142104133989]
["HVAC System",4300,4500,5000,4550,2.1428571428571428,3.8571428571428572,4620.1742539325742,null,null,null,null,20,98311.452739678396,11021.974359138403,12500.479601332549,7350.12621488893,21822.165908969226,15135.71352095588,29443.285091435555]
["Electrical",1900,2200,2600,2216.6666666666665,2.7142857142857131,3.2857142857142869,2071.6143606983997,null,null,null,null,21,98048.63946148027,10920.648140941286,11359.950749912532,7609.1480007811633,22054.806254044972,16160.908193512088,29097.697017434864]
["Light Fixtures",850,900,1000,908.33333333333337,2.3333333333333348,3.6666666666666652,914.14301858867407,null,null,null,null,22,100251.62361323937,11358.658851843498,14098.04074093336,7109.4294960056395,22204.383336888939,15493.840760572668,29212.408902562751]
["Fire Protection",2300,2500,2700,2500,3,3,2471.3454545832074,null,null,null,null,23,101684.69881319051,11151.655397733193,13941.819970969635,8575.5749374292609,21627.744381420882,15593.358480850678,29699.770363545846]
["Final Cleanup",700,1000,1300,1000,3,3,1055.7735519170055,null,null,null,null,24,100162.97057208068,11110.288645164332,12462.314860451252,7768.9230591501855,21831.941947392752,16114.763900399746,29851.715054875498]
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{"sheet":"Simulation results","index":2,"n_rows":1048576,"n_cols":16384,"rows_kept":4500,"cut":true,"hidden":true,"merged":[],"bounds":{"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0}}
[]
["Mean of total cost",{"$f":"AVERAGE('Model and simulation'!N8:N1007)","v":99506.581975865469}]
[]
["There is a",{"$f":"COUNTIF('Model and simulation'!$N$8:$N$1007, \">\"&'Simulation results'!D4)/1000","v":0.61599999999999999},"probability that total cost will exceed our budget of",99000]
["There is a",{"$f":"COUNTIF('Model and simulation'!$N$8:$N$1007, \">\"&'Simulation results'!D5)/1000","v":0.95799999999999996},"probability that total cost will exceed the \"base-case\" total of",97000]
[]
["Percentiles (total cost)"]
[0.05,{"$f":"_xlfn.PERCENTILE.INC('Model and simulation'!$N$8:$N$1007,'Simulation results'!A8)","v":97152.563656983591}]
[0.25,{"$f":"_xlfn.PERCENTILE.INC('Model and simulation'!$N$8:$N$1007,'Simulation results'!A9)","v":98427.621576749589}]
[0.5,{"$f":"_xlfn.PERCENTILE.INC('Model and simulation'!$N$8:$N$1007,'Simulation results'!A10)","v":99404.176827506686}]
[0.75,{"$f":"_xlfn.PERCENTILE.INC('Model and simulation'!$N$8:$N$1007,'Simulation results'!A11)","v":100458.51986276414}]
[0.95,{"$f":"_xlfn.PERCENTILE.INC('Model and simulation'!$N$8:$N$1007,'Simulation results'!A12)","v":102197.1221324331}]
[]
[]
["Analysis questions"]
["(1) Create a box-whisker plot showing the simulation results for the six work packages (ignore the column for total cost). Place the graph in the shaded area to the right."]
["Which work package is fairly costly and also (in raw dollar terms) shows a lot of variability?"]
["(You would want to know this because, as the project progresses, it would be a good idea to monitor more closely work packages that meet this description.)"]
["Press F9 a few times and watch the box-whisker plot update before you choose an answer."]
[null,"Interior finishes"]
[]
["(2) \"We can afford to be wrong in our planning sometimes, but we can't be wrong all of the time\" is an observation that captures one reason to use Monte Carlo simulation."]
["We have budgeted $99,000. You should already have found that there is a good chance that the total cost will be more than this, that we will exhaust the $99,000."]
["But--it would be wasteful to try to budget for the absolute maximum cost. The project will almost certainly not cost that much, and there are other opportunities that we could use that money to invest in."]
["So--say we can tolerate a 20% chance of running out of funds. How much in addition to the $99,000 do we need, to be 80% confident that we can successfully fund this project?"]
["Do whatever preliminary calculations are necessary wherever you like, and then enter the final calculation in the shaded cell. (In project risk management, this would commonly be called the \"contingency required for 80% confidence.\")"]
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