Cedar Point amusement park management is preparing the park's annual promotional plan for the coming season. Several advertising alternatives exist: newspaper, television, radio, and displays at recreational shows. The information below shows the characteristics associated with each of the advertising alternatives, as well as the maximum number of placements available in each medium. Given an advertising budget of $250,000, how many placements should be made in each medium to maximize total audience exposure? Formulate this as a linear programming problem. 
Definitions:
Fetal Brain Tissue
Refers to the developing neural tissue within the fetus, crucial for the growth and development of the fetal nervous system.
Cured
Restored to health or a healthy condition, often used in the context of completely eradicating a disease or condition.
Cognitive Competence
The ability to think, reason, solve problems, and understand complex ideas, reflecting the mental capacity for learning and adapting.
Daily Living
Pertains to the routine activities that people do every day without needing assistance, such as eating, bathing, and dressing.
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