OPERATIONS RESEARCH 2 COURSE . IT CAN BE PREPARED BY HANDWRTNG OR SOFTWARE.

4. K & J Sport Boating, located in Belek, Antalya, specializes in individualized scuba diving and wind surfing lessons. Four instructors are available to teach wind surfing. Because most customers are tourists, if K & J does not have an instructor available, potential customers either go to another company for the lessons or do some other activity. They do not wait for an instructor to become available. On the average, customers arrive at K & J for windsurfing lessons every 20 minutes according to a Poisson process. Lessons average 1.5 hours according to Exponential process. K&J Sport Boating charges customers $46 for each lesson and pays each instructor $18 per hour in wages and benefits. It also pays $6 per hour in insurance, boat rental, and overhead costs. K & J operates 10 hours a day. a. What is the probability that all four instructors are busy? b. What is the probability that all four instructors are idle? c. Determine K & J's average daily profit or loss (1 day = 8 hours). d. K & J is thinking about hiring another instructor at $18 per hour. Should the instructor be hired? Justify your