[2x1^2+2x1​x2+x2^2-10​x1-10x2]

1. Use MATLAB Optimization Tool to solve the following problem: minimize [2x1^2+2x1x2+x2^2-10x1-10x2] 
subject to [x1^2+x2^2≤500] and [5x1-x2 ≤ -4] .
2. Please hand-check all the Kuhn-Tucker conditions for your answer.

I tried to do it but it keeps giving me error message: Error: The expression to the left of the equals sign is not a valid target for an assignment. Error in bineq: Error: Unexpected MATLAB expression. Error in lb: Undefined function or variable 'L'.

[Guillaume]

Well, there is an error in your code. We can't guess what you wrote, so show us your code.

[jiya quin]

----> this is what i am getting <----

Answer 1

[Guillaume]

Assuming that 2x1^2+2x1x2+x2^2-10x1-10x2 actually means 2*x1^2 + 2*x1*x2 + x2^2 - 10*x1 - 10*x2, multiplication signs are not optional. Otherwise, I've no idea what your equation mean.

[jiya quin]

Its not multiplication signs its X symbol

[Image Analyst]

If x does not mean a variable but instead means the x multiplication symbol, then things like "+x2^2" don't make sense. The multiplication symbol in MATLAB is *, not × like you might find in some papers or textbooks. If x1 and x2 are variables, then the equation Guillaume rewrote is the correct way of writing it in MATLAB and then I don't understand your comment at all.

[jiya quin]

this is the image of the equation

[Walter Roberson]

That image is completely unreadable, not even close to being readable.

[Guillaume]

@jiya, we're covering basic maths here. When you write

2a

It means,

2*a

The multiplication, *, is simply elided. The elision is not optional on a computer.