Defining Mathcad Variables to be equal to Unity

[jk3nn3dy]

While attempting to solve quadratic equation application in MATHCAD (pertaining to the Markowitz Portfolio theory), I am now stumped at how to perfom what would seem to be a trivial operation, namely: setting a sum of unknown variables (i.e., a constraint) equal to '1.'

For example, how can one define the following constraint in Mathcad?

x + y + z = 1

Below is simplified quadratic problem to be solved:

Minimize 3x^2 +2y^2 +z^2 + 2xy - xz - 0.8yz ...

subject to:

x + y + z = 1
x >= 0
y >= 0
z >= 0

Thanks for help.

 

[NateD]

In Mathcad, the constraint x + y + z = 1 can be written as: x + y + z - 1 = 0. Then, this constraint can be added to the list of constraints in the quadratic problem. The complete set of constraints should then look like this: x + y + z - 1 = 0x >= 0y >= 0z >= 0