Gotham City must determine how to allocate ambulances during the next year. It costs $5000 per year to run an ambulance. Each ambulance must be assigned to one of two districts. Let xi be the number of ambulances assigned to district i, i 1, 2. The average time (in minutes) it takes for an ambulance to respond to a call from district 1 is 40 - 3x1; for district 2, the time is 50 -4x2. Gotham City has three goals (listed in order of priority):■ Goal 1: At most $100,000 per year should be spent on ambulance service.■ Goal 2: Average response time in district 1 should be at most five minutes.■ Goal 3: Average response time in district 2 should be at most five minutes.a. Use goal programming to determine how many ambulances to assign to each district.b. How does your answer change if goal 2 has the highest priority, then goal 3, and then goal 1?
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