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:
Co-Operative
An organization owned and operated for the benefit of those using its services, with members sharing control according to democratic principles.
Distinct Legal Entity
This term refers to a business structure that is recognized as separate from its owners, having its own rights and liabilities.
Corporation
A legal entity that is separate and distinct from its owners, recognized by law as having rights and liabilities.
General Partnership
A business structure where two or more individuals manage and operate a business in accordance with the terms and objectives set out in a partnership agreement.
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