Use AMPL to model the problems and appropriate solver to solve the problems. Other software… 1 answer below »

Use AMPL to model the problems and appropriate solver to solve the problems. Other software

are not allowed for solving the problems.

AMPL can be downloaded from:

http://ampl.com/

Deliverables:

1. Project report: take screen shots of your work and submit in the form of a project report.

Instructions on the Project:

1. It’s group project. Form a group of 3 members.

2. Submit both soft copy of your project report. Soft copies are to be sent by e-mail to

abbaig@imamu.edu.sa.

3. Deadline submission on April 5, 2020 (Sunday).

A. 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 new

development.

• The project involves two phases:

• demolishing substandard houses to provide land for the new development, and

• building the new development.

• Lot sizes for new single-, double-, triple-, and quadruple-family homes (units) are 0.18, 0.28, 0.4, and 0.5

acre respectively. Streets, open space, and utility easements account for 15% of available acreage.

• 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 least10%.

• The tax levied per unit for single, double, triple, and quadruple units is $1,000, $1,900, $2,700 and $3,400,

respectively.

• As many as 300 substandard houses can be demolished. Each house occupies a .25 acre lot. The cost of

demolishing a house is $2000.

• 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.

• Develop a LP model to determine the optimum number of units for each type to maximize tax collection

and solve it.

 

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