Linear Programming Constraints You want to mix 5 parts of x1

Linear Programming Constraints

You want to mix 5 parts of x1 to every 7 parts of x2. What constraint would allow a Linear Programming model to achieve this ratio?

Solution

Let us form constraints as:

x1+x2<=1, x1 >=0, x2 >=0.

and 2x1 + 6x2<=13/3

and objective is to maximise z= 5x1 + 3x2

Hence solution would be x1 = 5/12 and x2 = 7/12