3. [15 points] Albany Police Department wants to schedule its patrol officers. The workday is divided into six blocks of 4 -hours. The patrol officers work an 8 -hour shift. Each officer works for two consecutive blocks. (For example, an officer who starts at 4:00 will work two consecutive time blocks from 4:00 to 12:00.) The minimum officer requirement for each time block is as follows: a. Develop and solve an optimization model to minimize total patrol officers. How many total patrol officers are required? b. How many officers should start on each time block? Show all work to earn credit. (You need to use the optimization method)