there are two families M and N . there are 2 men , 2 women, and 4 childern in family N . and 4 men , 6 women and 2 children in family M . there commended daily allowance for calories is child : 1800, women : 1900 and man : 2400 and for protiens is man :55gm, woman : 45gm and child :33gm. using matrices algebra, calculate the total requirement of protiens and calories for each of the famlies ?
Let
Let C and P respectively represent the calorie intake and protein intake for man, woman and child.
Then,
So, NC and MC respectively represent the total calorie intake for families N and M,
and, NP and MP ​respectively represent the total protein intake for families N and M.
Thus, total calorie intake for family N​=
Total calorie intake for family M=
Total protein intake for family N=
Total protein intake for family M=
Let C and P respectively represent the calorie intake and protein intake for man, woman and child.
Then,
So, NC and MC respectively represent the total calorie intake for families N and M,
and, NP and MP ​respectively represent the total protein intake for families N and M.
Thus, total calorie intake for family N​=
Total calorie intake for family M=
Total protein intake for family N=
Total protein intake for family M=