Question: QUESTION 4 - LINEAR PROGRAMMING-(20 MARKS) A farmer plans to mix two types of food to make a mix of low-cost feed for the animals

QUESTION 4 - LINEAR PROGRAMMING-(20 MARKS) A

QUESTION 4 - LINEAR PROGRAMMING-(20 MARKS) A farmer plans to mix two types of food to make a mix of low-cost feed for the animals in his farm. A bag of food A costs $24 and contains 40 units of proteins, 20 units of minerals and 10 units of vitamins. A bag of food B costs $20 and contains 30 units of proteins, 20 units of minerals and 30 units of vitamins. The minimum daily requirement is 150 units of proteins, 90 units of minerals and 60 units of vitamins at a minimum cost? a. Develop the LP model for the information above. (Smks) b. Represent the information in step (a) on a graph using a scale of 1 cm to 5 units on each axis. (NB. Software can be used). (Smks) c. How many bags of food A and B should be consumed by the animals each day to meet the minimum daily requirements? (4mks)

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