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.