Operations Management

Consider the following problem faced by a production planner in a soft drink 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 be used on both types of bottles with some loss of efficiency. The following data are available : Machine 8-ounce bottles 16-ounce bottles 100/minute 40/minute B 60/minute 75/minute The machines can be run for 8 hours per day, 5 days a week. Profit on 8-ounce bottle is 15 paise and on 16-ounce bottle is 25 paise. Weekly production of the drink cannot exceed 3,00,000 ounces and the market can absorb 25,000 eight-ounce bottles and 7,000 sixteen-ounce bottles per week. The planner wishes to maximize his profit subject, of course, to all the production and marketing constraints. Formulate this as L.P