3. Formulate the given problems as linear programming models to maximize the net profit and to minimize the total cost: a) Awsam the successful farmer has a 50 acres farm on which to plant tomatoes and cucumbers. He has 300 hours of labor per week and 800 tons of fertilizer available and has contracted for shipping space for a maximum of 26 acres worth of tomatoes and 37 acres worth of cucumbers. An acre of tomatoes requires 10 hours of labor and 8 tons of fertilizer, whereas an acre of cucumbers requires 3 hours of labor and 20 tons of fertilizer. The profit from an acre of tomatoes is RM400 and the profit from an acre of cucumbers is RM300. Formulate the linear programming model for this problem to maximize profit. b) Che Gu Mart is a retail catalogue store specializing in skincare. Phone orders are taken each day by a large pool of computer operators, some of whom are permanent and some temporary. A permanent operator can process an average of 75 orders per day, whereas temporary operator can process an average of 52 orders per day. The company receives an average of at least 600 orders per day. The store has 11 computer workstations. A permanent operator will process about 2 orders with errors each day, whereas a temporary operator will average 4 orders with errors daily. The store wants to limit errors to 24 per day. A permanent operator is paid RM60 per day including benefits and temporary operator is paid RM40 per day. The company wants to know the number of permanent and temporary operators to hire to minimize costs