Durgesh is working in a restaurant in which he prepares two types of dishes and . Dish takes 20 minutes to be prepared and Dish takes 30 minutes for the same. He earns Rs 50 to make one packet of dish , while Rs 70 for one packet of dish . He works for 12 hours a day, including 1 hour for personal activities. What will be the objective function if this example is formulated as a linear programming problem? Assume and are the packets of dishes and respectively.
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Solution & Step-by-step Explanation
In a linear programming problem, the objective function represents the quantity to be maximized or minimized (usually profit or cost).Durgesh earns:Rs 50 per packet of Dish Rs 70 per packet of Dish Let be the number of packets of Dish and be the number of packets of Dish .Total Earning This is the objective function he aims to maximize.The time constraints would involve the 20 and 30 minute preparation times and the 11 available work hours ( hours), but they do not form the objective function.