Solve the linear programing problem as formulation and Graphically as well . Don't use any software based code

2. A diet conscious man wishes to ensure certain minimum intake of 10 vitamin A,B and C for the family. The minimum daily needs of vitamin A, B and C for the family are respectively 30,20 and 16 units. For the supply of those minimum vitamin requirements, the man reties on two fresh foods F1 and F2. The first food (F1) provides 7,5,2 units of three vitamins per gram respectively and the second food (F2) provides 2 , 4,8 units of same three vitamins per gram. One gram of food F1 and F2 cost 3.00 Tk. and 2.00 Tk. respectively. Assuming that anything is excess of daily minimum requirement of vitamin A,B and C are not harmful. The problem is how many grams of each food should be the man buy everyday to keep his food bill as low as possible? Formulate this problem as Linear Programming Problem and solve the problem graphically