Problem 4: Taylor County plans to develop several new recreational facilities that must be completed within the $3.5 million budget. A survey of county residents has resulted in information about the types of facilities that county residents would like to see built, as described in the following table. The table also shows the cost to construct and maintain each facility, the acres each facility will require, and the average usage of each facility. The county has decided that at least 15 facilities will be built and has set aside 55 acres for construction. Facility Cost per Acres per Facility People per month Facility Basketball courts (x1) Baseball fields (x2) Playgrounds (x3) Soccer fields (x4) $300,000 $250,000 $75,000 $175,000 3 5 2 3 700 1,000 800 1,200 Annual Maintenance Cost $3,000 $6,000 $3,000 $7,000 The county has also established the following list of ranked goals: Rank 1: It would like to spend the entire budget. Rank 2: It would like to build enough facilities so that 15,000 or more each month can used them. Rank 3: It wants to avoid using more than the 55 acres that have been set aside for the project. Rank 4: It would like to avoid spending more than $80,000 per year on maintenance costs for the new facility Rank 5: It has decided that at least 15 facilities will be built. State the Goal Program that will meet each of the four ranked goals above. (If you were to solve this problem, it would calculate how many of each facility should be built)