I wanna to solve the following question:

cvx_begin

```
variable x1
variable x2
variable lambda
minimize (lambda)
subject to
1-pow_p(2.718281828,-0.7*0.00005*10000*pow_p(x1,-0.3))-0.4*lambda<=0
1-pow_p(2.718281828,-0.8*0.00007*10000*pow_p(x2,-0.2))-0.4*lambda<=0
x1+x2-300<=0
x1>=0
x2>=0
lambda>=0
lambda-1<=0
```

cvx_end

But the solution for this is x1=126.72, x2=110.84, lambda=9.87*e^-11

which contradict with first and second constraint or

1-pow_p(2.718281828,-0.7*0.00005*10000*pow_p(x1,-0.3))-0.4*lambda<=0

1-pow_p(2.718281828,-0.8*0.00007*10000*pow_p(x2,-0.2))-0.4*lambda<=0

So the solution is wrong.

I want to know what is wrong with my code.