A nutritionist wants to prepare a diet using two foods, A and B
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
A nutritionist wants to prepare a diet using two foods, A and B. Each serving of food A contains 3 units of protein and 4 units of carbohydrate and costs Rs 20. Each serving of food B contains 5 units of protein and 2 units of carbohydrate and costs Rs 30. The diet must supply at least 30 units of protein and at least 24 units of carbohydrate at minimum cost. Formulate the complete linear programming model by stating:
(i) the decision variables
(ii) the objective function to be minimised
(iii) all constraint inequalities, including non-negativity