Vitamins A and B are found in food F₁ and F₂ . One unit of F₁ contains 20 units of vitamin A and 30 units of vitamin B. One unit of food F₂, contains 60 units of A and 40 units of B. Costs per unit of F, and F₂ are {Rs.}\;3 and {Rs.}\;4 respectively. The minimum daily requirement of vitamin A and B is 80 and 100 units respectively. Problem is to determine the mixture of food F₁ and F₂, which meets the requirement at minimum cost by assuming that x₁ units of food F₁ and X₂ units of food F₂ are required to fulfill the need of vitamins. The constraints are

Question

Examsnet · Accepted Answer

Correct Answer is : 20x1+60x2≥8020 x₁+60 x₂ ≥ 8020x1​+60x2​≥80 30x1+40x2≥10030 x₁+40 x₂ ≥ 10030x1​+40x2​≥100 x1≥0;x2≥0x₁ ≥ 0 ; x₂ ≥ 0x1​≥0;x2​≥0

Linear Inequalities