Explain for each of the three locations what decisions would be made using a Clark-Groves mechanism, how much each individual would pay and how much revenue would be raised towards the cost. To ease your calculations, you can use a calculator or a computing software such as Excel.

About 1/3 of Samuel’s paycheck goes to housing, 1/6 goes to utility bills, 1/8 goes for his car, and 1/5 goes for food. How much of his paycheck is left for entertainment?

Suppose Country A spent $50$⁢50 billion on national defense in 2012, which was 10%10% of total government spending. In 2013, Country A's total government spending increased by $60$⁢60 billion compared to 2012. Determine the value of healthcare expenditures in 2013 if they were 5%5% of total government spending.

Netflix made headlines in September 2011 when it split its streaming video service and its DVD by-mail service into two companies. This decision was based on projections that streaming videos will replace DVDs in the future. In this problem, you will explore these projections. Numbers below are close to the correct values, but vary to allow more practice with this idea.  Total DVD and Blu-ray disc sales in 2009 were $8.72 billion. For the purposes of this problem, you will combine DVD and Blue-ray disk sales into one category of DVD sales. A study by In-Stat predicted that "physical disc sales will decline by $4.7 billion by 2014," and that "streaming, on the other hand, should grow from its current $2.1 billion to $6.3 billion over the same time period (2009–2014)." What is the slope, including units, of the model for streaming videos?