6. The City Manager of Suburbia is evaluating various levels of expenditures for police protection. She has found that the average response time (in minutes) to emergency calls is inversely related to the annual budget for Suburbia's police department. The relationship is: R = 50 C = C Where R = average response time in minutes and annual police budget in millions of dollars Each citizen of Suburbia evaluates the benefit of an emergency police response as follows: B = $100 - $10R Where B = benefit in dollars. Thus, a response time of 10 minutes produces zero benefit and a longer time produces a negative benefit. There are 500,000 emergency calls annually in Suburbia. 1) Develop a spreadsheet model for this problem, assuming the performance measure is total benefit minus total cost. Evaluate alternative police budgets of $5 million, $10 million, $15 million and $20 million. Which of these is preferred? 2) Now suppose the criterion is the ratio of total benefit divided by total cost. For the same possible budget, which is more preferred?