The costs and benefits of owning an electric or hybrid car will be evaluated in this lesson. By reading and researching the history of the production of electric cars, the lesson allows students to understand how this market has developed. Specifically, the evaluation will focus on the Chevy Volt and its attempt to compete in a constantly evolving market of automobiles. Through this lesson, students will attempt to decide whether the Volt can be competitive in price and range, as well as what incentives need to be provided to make it a more appealing purchase to consumers. There have also been several changes made to the aerodynamics of the prototype of the Volt to the first model released to consumers in order to make the battery more efficient. Finally, students will look at the supply and demand, and production of the Chevy Volt.
In June 2002, the Supreme Court ruled that Cleveland's system of giving students vouchers to attend private or religious schools did not violate the constitutional separation of church and state. In this lesson, students listen to an audio file about school vouchers creating market competition for public schools in June 2002. Students will identify the story's major concepts and their supporting details using an interactive note-taker.
In this lesson students solve an optimization problem based on the real-world example of profit maximization. Students analyze a revenue and profit report for Apple, Inc., to explore profits and profit maximization. They view a video to strengthen their understanding of profits and profit-maximizing behavior. Students use an online graphing tool to plot a quadratic total revenue function. They also analyze the graph of a cubic total cost function. Students then construct a profit function based on a total revenue function and total cost function. Finally, students solve for the optimal quantity of output that would maximize profits based on a given profit function. They determine the appropriate critical value by taking the first derivative of the profit function and then verify that this value yields a maximum by applying a second derivative test to the profit function.
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