question 3, complete answer

Ageatest) to process 8 ounce bottle & 16 ounce bottle uestion 3:Consider the following problem faced by a production planner in a soft drink plant He has two bottling machining process A and B. The following data is available Machine 8-QUnce bottles 16-ounce bottles 40/minute 75/minute A 100/minute 60/minute Each machine can be run 8-hours per day, 5 days per week, Profit on an 8-ounce bottle is 25 paise and on a 16-ounce bottle in 35 paise. Weekly production of the drink cannot exceed 3.30,000 ounces and the market can absorb 25,000 eight-ounce bottles and 7,000 stxten-ounce bottles per week. The planner wishes to maximize his profit subject of course to all the production and marketing restrictions. Formulate this as a linear programming problem B