Example 2.3-1 (Urban Renewal Model).The city of Erstville is faced with a severe budget shortage. Seeking a long-term solution the city,,Council votes to improve the tax base by condemning an inner-city housing area and replacing it.With a modern development.The project involves two phases: (1) demolishing substandard houses to provide land for.The, new development and (2) building the new development. The following is a summary of the.Situation.1. As many as 300 substandard houses can be demolished. Each house occupies a 25-acre.Lot. The cost of demolishing a condemned house is $2000.2. Lot sizes for new single -, double -, triple -, and quadruple-family homes (units) are. 18. 28,,,, A and.5 acre respectively. Streets open space, and utility, easements account for 15% of.Available acreage.3. In the new development the triple and quadruple units account for at least 25% of the.Total. Single units must be at least 20% of all units and double units at least 10%.4. TIle tax levied per unit for single double triple and quadruple,,, units is $1 000 $1 900,,,,,, $2 700 and $3 400 respectively,,.5. The construction cost per unit for single -, double -, triple -, and quadruple - family homes is.$50 000 $70,,,,,, 000 $130 000 and, $160 000 respectively. Financing, through a local bank can.Amount to a maximum of $15 million.How many units of each type should be constructed to maximize tax collection?
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