9. Vitamins A and B are found in two different foods Fy and F2.
One unit of food Fy contains 2
units of vitamin A and 3 units of vitamin B.One unit of food F2 contains 4 units of vitamin A
and 2 units of vitamin B. One unit of food F, and Fz cost * 50 and 25 respectively. The
minimum daily requirements for a person of vitamin A and B is 40 and 50 units
respectively. Assuming that any thing in excess of daily minimum requirement of vitamin
A and B is not harmful, find out the optimum mixture of food F1 and Ez at the minimum
cost which meets the daily minimum requirement of vitamin A and B. Formulate this as a
LPP.
Answers
Answer:
Minimum Cost = 105
when 25F₁ & 1 F₂ is selected
Step-by-step explanation:
One unit of food F₁ contains three units of vitamin A and four units of Vitamin B.
F₁ = 3A + 4B
F₂ = 6A + 3B
Cost = 4F₁ + 5F₂
A ≥ 80
B ≥ 100
F₁ F₂ Vitamin A Vitamin B Cost
0 34 204 102 170
10 20 150 100 140
15 14 129 102 130
20 7 102 101 115
21 6 99 102 114
22 4 84 100 108
23 3 87 101 107
24 2 84 102 106
25 1 81 103 105
26 1 86 107 109
27 0 81 108 108
Minimum Cost = 105
when 25F₁ & 1 F₂ is selected