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Authentic Economics Applications for a Math Classroom

Explore real-world economics through math using Dollar Dog Night at Citizens Bank Park. Calculate demand, revenue, and profit to learn optimization techniques. Apply economics in calculus and precalculus concepts like derivatives, linear programming, and interest rates. Compare credit card offers using economic analysis.

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Authentic Economics Applications for a Math Classroom

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  1. Authentic Economics Applicationsfor a Math Classroom Adam Lavallee Episcopal Academy

  2. Authentic Economics Applicationsfor a Math Classroom • How many times can you write the word Economics in 30 seconds? Timer:

  3. Marginal Production • Increasing Returns to Scale • Efficiency • Decreasing Returns to Scale • “Too Many Cooks in the Kitchen”

  4. Dollar Dog Night • On Dollar Dog night at Citizens Bank Park, Philadelphia Phillies Phans buy 60,000 hot dogs. • On a normal night, hot dogs cost $4 and 15,000 are purchased. • This data reveals the Law of Demand: that people will buy more when the price is less. • We can find an equation for the law of demand using these two points:(15, 4) and (60, 1)

  5. Dollar Dog Night Find the linear equation of the Demand for hot dogs.

  6. Dollar Dog Night Questions • If the Phillies gave hot dogs away for free, how many hot dogs would they give away? • How many hot dogs will people buy if the price is $2? • At what price will no one buy any hot dogs?

  7. Dollar Dog Night Extensions • Give a supply curve and ask students to find the intersection. • Create a Revenue function (Price x Quantity) • Maximize Revenue

  8. Create a Business • What is your Product? • What is the demand for your product? • Sell All Price & Sell None Price • Revenue: R = P×Q • Use linear demand • Revenue is a Quadratic • Cost • Linear cost

  9. Create a Business • Maximize Profit (Profit = Revenue – Cost) • How much should your company produce to maximize profit? • How much should you sell your product for in order to maximize profit. • What will your profits be?

  10. Using Economics in Calculus • Derivative = Marginal… everything… • Linear Programming & constrained maximization • Maximize Utility constrained by budget

  11. Using Economics in PreCalculus • Interest • Beyond P=ert

  12. Credit Card Offers

  13. Credit Card Offer Offer 1 Offer 2 2% for 15 months Then 16% • 0% for 12 months • Then 16% • Which is better? • Under what conditions is each better? • Which offer do people most often choose? • What happens if you don’t pay back?

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