A Small Town Wants to Build Some New Recreational Facilities

question 79

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.

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Definitions:

Dependent Variables

In scientific research, the variable being tested and measured, expected to change in response to variations in the independent variable.

Representative Sample

A subset of a population that accurately reflects the members of the entire population.

Proportional

Corresponding in size, degree, or intensity, with a constant ratio between corresponding measurements.

Double-blind

A study design in which neither the participants nor the researchers know which participants are receiving the experimental treatment and which are receiving a control treatment, to prevent bias.