3. Voting on Issues. In a particular county in the State of Arkansas, four election issues are...

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3. Voting on Issues. In a particular county in the State of Arkansas, four election issues are on the ballot: Build new highways, increase gun control, increase farm subsidies, and increase gasoline tax. The county includes 100,000 urban voters, 250,000 suburban voters, and 50,000 rural volers, all with varying degrees of support for and opposition to election issues. For example, rural voters are opposed to gun control and gas tax and in favor of road building and fann subsidies. TIle county is planning a TV advertising campaign with a budget of

$100,000 at the cost of $1500 per ad. TIle following table summarizes the impact of a single ad in terms of the number of pro and can votes as a function of the different issues:

Expected number of pro ( +) and con ( - ) votes per ad Issue New highways Gun control Smog control Gas tax Urban

-30,000

+80,000

+40,000

+90,000 Suburban

+60,000

+30,000

+10,000 o

Rural

+30,000

-45,000

-25,00°0 An issue will be adopted if it garners at least 51% of the votes. Which issues will be approved by voters, and how many ads should be allocated to these issues?

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