Consider the following problem faced by a production planner of a ground water extraction plant. He has two bottling machines A and B. A is designed for 8-ounce bottles and B for 16-ounce bottles. However. each can also be used for both types of bottles with some loss of efficiency. The manufacturing data is as follows: TABLE b: The manufacturing capability and details on the production of ground water extraction plant. Machine A B (1) 8-ounce bottles 100/minute 60/minute The machines can be run for 8 hours per day, 5 days per week. The profit on an 8-ounce bottle is RM 1.5 and on a 16-ounce bottle is RM 2.5. Weekly production of the drink cannot exceed 3,00,000 bottles and the market can absorb 25.000, 8-ounce bottles and 7,000, 16-ounce bottles per week. The planner wishes to maximize his profit, subject of course. to all the production and marketing restrictions. 16-ounce bottles 40/minute 75/minute Define the variables and the constraints (ii) Formulate this problem as an LP model and determine the maximized total profit