The Diet of the sick person must contain at least $4000$ units of vitamin. Each unit of food $F_1$ contains $200$ units of vitamin, whereas each unit of food $F_2$ contains $100$ units of vitamins. Write an inequation to fulfill a sick person’s requirements and represent the solution set graphically.
Mr. Rajesh has ₹ 1,800 to spend on fruits for the meeting. Grapes cost ₹ 150 per kg. and peaches cost ₹ 200 per kg. Formulate and solve it graphically.