Armdale Property Management has significant holdings in be kelifax Over the last several years it has submitted many development proposals to the city and received approval. The challenge is to decide which projects to undertake in 2013 and which to defer ar never purse, la preparation of an upcoming meeting at have been asked to prepare a list of recommended projects for 2013. Projects under consideration follow Notations Project Investment Forected Project LOGO Required in Profit Type (years) 2013 Almom $2,500,000 $1,400,000 Multi 13 unit Peninsula B Novales $1,800,000 S1,200,000 Meed 12 Hall use Penis e Rockingstone $500,000 5300000 Muiti 5 Mind unit South D Williams S1,700,000 5800.000 Single 15 Mainland Lake family South E Hubley S900,000 $500.000 Multi- 4 HK County unit West F Lakeside SR00,000 S400.000 Multis 3 HER County West G Larry Leck $1,300,000 5750.000 Single 3 Clayton family Park Sandy Lake SI500,000 51.100.000 Single 6 Bedford family Powder M S2,000,000 ESTEROLOCO Single Bedford Lake family The projects will take many years to complete and will require additional investments in future years, but APM limited in what it can invesnow and wants to maximize the total profit generated if the Almon project is selected then the Novalea one should not if the lubley project is selected then the Lakeside project must also be done, but Lakeside can be done without doing Hubley. Exactly two ptujects should be single family and at least two must be mixed use of multi unit. APM has 56,000,000 times in 2013. What do you recommend Formulate an IP medel. Let Atif APM selects project A and if it does not Deline variables B.CDEFG. I and I in the same manner The objective function is simillion The constraint for the statement the Almon project is selected, then the Novalea one should not" is given by AH OAD ON 12 OASB Armdale Property Management has significant holdings in the Halifax Regional Municipality Over the last several years it has submitted many development proposals to the city and received approval. The challenge is to decide which projects to undertake in 2013 and which to defer or never pursue. In preparation of an upcoming meeting, staff have been asked to prepare a list of recommended projects for 2013. Projects under consideration are as follows: Notations Project Investment Forecasted Project Lifetime Location Required in Profit Type (years) 2013 A Almon $2,500,000 $1,400,000 Multi unt Peninsula Novalca SINO,000 $1.200.000 Mixed use Peninsula Rockingstone 500.000 $300,000 Multi 5 Mainland South D Williams S1,700,000 S800.000 Single 5 Mainland Lake family South Hubley 5900,000 5500,000 4 Hex County unit West F Lakeside $800,000 5400,000 Muit Hex County West G Larry Uteck S1.300.000 $750,000 Single 5 Clayton family Park Sandy Lake $1,500,000 51.100.000 Single Bedlord family Powder Mill $2,000,000 $1,500,000 Single 6 Bedford Lake family The projects will take many years to complete and will require additional investments in future years, but APM is limited in what it can invest now and wants to maximize the total profit generated. If the Almon project is selected, then the Novalea one should not. If the Hubley project is selected, then the Lakeside project must also be done, but Lakeside can be done without doing Hubley. Exactly two projects should be single family and at least two must be mixed use of multi-unit. APM has $6,000,000 to invest in 2013. What do you recommend? Formulate an LP model Let A-1 if APM selects project Aand - if it does not Define variables B, C, D, E, F, G, H, and I in the same manner. The objective function is in $1million The constraint for the statement "If the Almon project is selected, then the Novalca one should not" is given by O ABS OAB-1 OASB OA+B21 OAB
