4. Bole garden cafe makes two types of juices: mango and orange Processing of these juices is done on two machines A and B. A mango juice requires 5 minutes on machine A and 9 minutes on machine B. An orange juice requires 8 minute on machine A and no time on machine B. There are 30 minute per day available on machine A and 45 minutes on machine B. Profit gained by the cafe from a juice mango and orange is birr 4 and 10 respectively. A. What should be the daily production of each of the two juices (use simplex method) B. What is the maximum profit? C. Find the range of optimality for the coefficient of mango juice D. Find the range of feasibility for total available minute per day on machine A E Find the dual of the above problem.​