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What’s the ideal size of a soda can? Soda companies spend billions of dollars each year to manufacture 12-ounce cans. If the companies changed the cans’ dimensions, though, they would save lots of money.

In this lesson, students create rational functions to explore the relationship between volume, surface area, and cost to determine the optimal size of a soda can.

- The cheapest version of a product won’t necessarily be the most profitable.
- Small tweaks in per unit expenses can result in huge savings of costs in mass manufacturing.

- Write, graph, and solve rational equations to describe geometric relationships