Question: Sunway City Council - project selection model At its final meeting of the fiscal year, the Sunway City Council will be making plans to allocate

Sunway City Council - project selection model At its final meeting of the fiscal year, the Sunway City Council will be making plans to allocate funds remaining in this year's budget. Nine projects have been under consideration throughout the entire year. To gauge community support for various projects, questionnaires were randomly mailed to voters throughout the city, asking them to rank the projects (9=highest priority, 1=lowest priority). The council tallied the scores from 500 usable responses it received. Although the council has repeatedly maintained it will not be bound by the questionnaire results, it plans to use this information while considering other concerns when making the budget allocations. The estimated cost of each project, the estimated number of permanent new jobs each would create and the questionnaire point tallies are summarized in the table below. The council's goal is to maximize the total perceived voter support (as evidenced through the questionnaires), given other constraints and concerns of the council, including the following: $1140 (in thousands) remains in the budget. The council wants to create at least 14 new jobs. Although crime deterrence is a high priority for the public, the council must also be fair to other public service sectors (fire and education). Accordingly, it wishes to fund at most three police-related projects. The council would like to increase the number of city emergency vehicles but feels that, in the face of other pressing issues, only one of the two emergency vehicle projects should be funded at this time. Thus, either the two police cars or fire truck should be purchased. The council believes that if it decides to restore funds cut from the sports programs at the schools, it should also restore funds cut from their music programs and vice versa. By union contract, any additional school funding must go toward restoring previous cuts before any new school projects are undertaken. Consequently, both sports funds and music funds must be restored before new computer equipment can be purchased. However, restoring sports and music funds does not imply that new computers will be purchased, only that they can be. Table: Project costs, new jobs, and point tallies Cost ($1000) New jobs Points 385 7 4160 300 0 1150 Project X1 Hire seven new police officers X2 Modernize police headquarters X3 Buy two new police cars X4 Give bonuses to foot patrol officers X5 Buy new fire truck/support equipment 55 1 2367 95 0 1918 505 1 3503 X6 Hire assistant fire chief 84 1 886 225 10 2731 X7 Restore cuts to sports programs X8 Restore cuts to school music 165 5 1728 X9 Buy new computers for high school 145 1 3011 Use (if needed): >= to describe "greater than or equal" (i.e., >)