Amdale 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 deferer never pursue la preparation of an upcoming meeting, staff have been asked to prepare a list of recommended projects for 2011. Projects under consideration are as follows Notations Project Location Forecasted Project Praft Type Lifetime years) Investment Required in 2013 $2,500,000 A Almon $1,400,000 MB. 3 B Novalea $1,800,000 $1,200,000 Mixed 2 C Rockingstone $500,000 $300,000 5 D $1,700,000 $800,000 5 Williams Lake Hubley Multi- unit Single family Muit unit) Multi- Halifax Peninsula Halifax Peninsula Mainland South Mainland South Hi County West HR County West Clayton Park E $100,000 $500,000 4 F Lakeside SH00,000 $400,000 3 G Larry Uteck $1,500,000 5 TE Sandy Lake $1,500,000 6 5750.000 Single family $1,100,000 Single family $100,000 ingle family Bedlard 1 Powder Mill Lake $2,000,000 6 Bedford 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. Lactly two projects should be single family and at least two must be mixed use or multiunit APM has $6,000,000 to invest in 2013. What do you recommend Formulate an LP model. Let A-I if APM selects project Aand - if it does not Define variables B, C, D, E,,,, and I in the same manner The objective function is in 5 million The constraint for the statement "If the Hubley project is selected, then the Lakeside project must also be done, but Lakeside can be done without doing Hubiley given by OE+F=1 OET OE-F OETS EPI ESF 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 Lifetime Location Investment Required in Forecasted Project Profit Type (years) 2013 A Almon $2,500,000 $1,400,000 Multi unit 3 B Novalca SI.800.000 $1.200.000 Mixed use 2 Halifax Peninsula Halifax Peninsula Mainland South Mainland South Rockingstone $500,000 $300,000 5 Multi- | unit) D Williams Lake S1,700,000 $800,000 5 Single family Multi- unit Hubley $900,000 S500,000 4 Hex County West F Lakeside $800,000 $400,000 3 Multi- unit Hex County West G Larry Uteck S1.300.000 5 Clayton Park Bedford H Sandy Lake $750,000 Single family $1,100,000 Single family $1,800,000 Single S1.500.000 1 Powder MHI Lake $2,000,000 6 Bedford family The projects will take many years 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 or 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-Oif it does not. Define variables B, C, D, E, F, G, H, and I in the same manner. The objective function is in Simillion The constraint for the statement "If the Hubley project is selected, then the Lakeside project must also be done, but Lakeside can be done without doing Hubley" is given by OE+F-1 OEF OE-F OE-F$1 OER1 OEST