Given the details of two families A and B.
A: 4 men, 6 women and 2 children
B: 2 men, 2 women and 4 children
Hence, the number of people in both the families A and B can be represented in matrix form with rows denoting the family and columns denoting the number of people of each type as -
The calorie and protein requirements for different types of people are also given.
Men: 2400 calories, 45gm proteins
Women: 1900 calories, 55gm proteins
Children: 1800 calories, 33gm proteins
Hence, the required calories and proteins can be represented in matrix form with each row corresponding to different type of people as –
Now, the required number of calories and proteins for each of the two families can be obtained by taking the product of the matrices X and Y.
Thus, the requirement of calories and protein is as follows –
Family A: 24600 calories and 576 grams protein
Family B: 15800 calories and 332 grams protein
It can be said that a balanced diet with proper amounts of calories and protein must be consumed by the people of all ages in order to lead a healthy life.
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