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 A C D E F G H Almon Novalca Williams Lake Hubley A2B Investment Required in 2013 Lakeside $2,500,000 Rockingstone $500,000 $1,800,000 $1,700,000 $900,000 $800,000 Larry Uteck $1,300,000 Sandy Lake Powder Mill Lake $1,500,000 $2,000,000 Forecasted Project Profit Type $1,400,000 Multi- unit $1,200,000 Mixed 2 $300,000 Multi- 15 unit $800,000 Single family $500,000 Multi- unit $400,000 Multi unit $750,000 Single family $1,100,000 $1,800,000 Lifetime (years) Single family Single Let A-1 if APM selects project A and- 0 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. 5 13 5 6 Location Halifax Peninsula Peninsula Mainland South Mainland South Hix County West Hix County West Clayton Park 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. Exactly two projects should be single family and at least two must be mixed use or multi-unit. APM has 56,000,000 to invest in 2013. What do you recommend? Formulate an LP model. Bedford The constraint for the statement "If the Almon project is selected, then the Novalca one should not" is given by OA+BSI OA+B-1 OASB OA+B1