Question 30 - Practice Questions CBSE - Maths Class 12 (2023 Boards) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by Teachoo

Frame the below optimization problem as a linear programming problem and determine its feasible region graphically.

Bhavani Singh, a farmer, decides to raise hens and cows to make some extra money apart from his agricultural income. He wants to raise no more than 16 animals including no more than 10 hens. On an average it will cost him Rs 25 and Rs 75 per day to raise one hen and one cow respectively. He will make an average profit of Rs 12 from each hen and Rs 40 from each cow every day. He has a budget of Rs 900 per day to raise the animals. How many of each type of animals should he raise to maximize his profit?

Transcript

Frame the below optimization problem as a linear programming problem and determine its feasible region graphically. Bhavani Singh, a farmer, decides to raise hens and cows to make some extra money apart from his agricultural income. He wants to raise no more than 16 animals including no more than 10 hens. On an average it will cost him Rs 25 and Rs 75 per day to raise one hen and one cow respectively. He will make an average profit of Rs 12 from each hen and Rs 40 from each cow every day. He has a budget of Rs 900 per day to raise the animals. How many of each type of animals should he raise to maximize his profit?

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