Question

Vitamins a & b are available in two different foods p & q. One unit of p contains 2 units of vitamin a and 3 units of vitamin b. One unit of q contains 5 units of vitamin a and 4 units of b. The minimum daily consumption of vitamin a and b should be 1000 and 1500 units respectively. One unit of p costs rs. 5 and one unit of q costs rs. 6.What should be the intake of p & q in order to minimize the cost.

Answer 1

Min T=5x+6y,2x+5y>=1000,3x+4y>=1500 ,x>=0,x>=0

Step-by-step explanation:

Assume x unit for food p and y and unit of food for 0

step 1

we can clearly say that x>0 and y>0

step 2

as given two different foods p &q .

and vitamin a &b are available

p contain 2 unit of vitamin a and q contain 5 unit vitamin a and 1000 unit consumption .

2x+5y>=1000

p contain 3 unit of vitamin b and q contain 4 unit vitamin b and 1500 unit consumption

3x+4y>=1500

and

x>=0,and y>=0

minimum cost assumed is Min T=5x+6y