8. Evening resident doctors in a Goa medical college hospital can work for five consecutive days and have two consecutive days off. Their five days of work can start on any day of the week and their schedule rotates infinitely. The medical college hospital requires following minimum no. of doctors to work on the given days: 3 It is a rule that not more than 40 doctors can start their five working days on the same day. Formulate the problem as an LP model to minimize the no. of doctors employed by the hospital