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A Small Town Wants to Build Some New Recreational Facilities

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Essay

A small town wants to build some new recreational facilities. The proposed facilities include a swimming pool, recreation center, basketball court and baseball field. The town council wants to provide the facilities which will be used by the most people, but faces budget and land limitations. The town has $400,000 and 14 acres of land. The pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. Also the council has only enough flat land to build the basketball court or the baseball field. The daily usage and cost of the facilities (in $1,000) are shown below.
Formulate the ILP for this problem. A small town wants to build some new recreational facilities. The proposed facilities include a swimming pool, recreation center, basketball court and baseball field. The town council wants to provide the facilities which will be used by the most people, but faces budget and land limitations. The town has $400,000 and 14 acres of land. The pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. Also the council has only enough flat land to build the basketball court or the baseball field. The daily usage and cost of the facilities (in $1,000) are shown below. Formulate the ILP for this problem.


Definitions:

Racial Incident

An event characterized by racial tensions or prejudices that often leads to conflict or harm towards a racial group.

Fifteenth New York Infantry

An African American regiment in the Union Army during the Civil War, also known as one of the United States Colored Troops (USCT).

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A facility or area where individuals are separated based on race or ethnicity, often in poor conditions and with unequal resources.

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