Subjects operations research

Media Distribution Constraints

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Media Distribution Constraints


1. **Problem Statement:** We are given: - Constraints on advertising media usage (Television, Radio, Newspaper) including audience per ad, cost per ad, and maximum usage. - Distribution costs per unit from two suppliers (Boston and New York) to three destinations (Hamilton, Butler, Clermont). 2. **Advertising Media Constraints:** - Max ads: Television $10$, Radio $20$, Newspaper $10$. - Audience per ad: Television $100000$, Radio $18000$, Newspaper $40000$. - Cost per ad: Television $2000$, Radio $300$, Newspaper $600$. These constraints help in resource allocation optimization. 3. **Distribution Costs Table:** From Boston: - Hamilton $10$ per unit - Butler $20$ per unit - Clermont $18$ per unit From New York: - Hamilton $12$ per unit - Butler $15$ per unit - Clermont $25$ per unit 4. **Summary:** - For the advertising part, one might formulate a linear programming problem to optimize cost or audience reach, respecting max media usage. - For distribution, another optimization problem would minimize shipping costs from suppliers to destinations. 5. **Next Steps:** - Define decision variables: Number of ads per media type; units shipped per supplier-destination. - Form objective functions and constraints accordingly. As specific optimization objectives or questions are not given, this outlines the problem setup.