3. A company sells organic mung bean sprouts (commonly known as toge) to a supermarket wholesaler in packages labelled 100 g each. The price is P14.00 per package. Data from an automatic check weigher show that the package weights are normally distributed with a standard deviation of Sg. In the weighing process, packages weighing less than 100 g are separated out and sold at a discount at P13.00 each. The production cost is P5.25 per 100 g. (a) The operations manager decided to set the target mean at 106g (that is, 6%overfill). Determine (1) The percentage of packages sold at discount. (2 pts) (2) The expected profit for a batch of 100 randomly chosen packages. (3 pts) (b) The company cost accountant claims that the expected profit can be increased by reducing the overfill from 6% to 3%. Repeat the calculations in (a) for this proposed target mean. Confirm or refute the accountant's claim (Right or wrong ba yung accountant?) (5 pts)