To maintain his health, a person must fulfill certain minimum daily requirements for several kinds of nutrients. Assume that there are only three kinds of nutrients: calcium, proteins & calories and a person's diet consists of only two food items I and II, whose price and nutrient contents are shown in the following table:

Food I

Food II

Minimum Daily Requirement of Nutrient

Price (Rs)

0.60

1.00

Calcium

10

4

20

Proteins

5

5

20

Calories

2

6

12

What combination of two food items will satisfy the daily requirements and entail the least cost? Formulate this problem as a linear programming problem.

Find the optimal solution by (A) graphical method. (B) Algebraic Method.