How to use for loop in the optimization function? The objective function contain piecewise function, in that case what to do?
Can anyone help me with the syntax? I am attaching the sheet below:
Question_loop.mw

I'm encountering an error in the optimization process when adding constraints C1 and C2. I've attached the sheet for reference. 

Q4.mw
To obtain a graph similar to the one below, which parameters in the data should I adjust? As you can see in the attached sheet, the graph is concave with respect to tau1 but not tau2. What changes should I make to ensure the graph is also concave with respect to tau2?

Dummy graph:-

I am attaching a sheet where i found error in the optimization function. Its not considering constrain C3 and C5 . Can anyone help?
N_7.mw

Also in the plot the tau1 value remain same for the optimal lambda. What parameter in the model can be changed in DATA so that i get dome like structure? 

I am attaching the sheet, I want to solve for w or find range of w. 
q1.mw

I can't isolate a variable from the constraint and move it to one side of the inequality. For example, it's like having theta <= all other terms. I've tried using the isolate and eval functions, but they aren't producing any results or simplifying the expression. What am I doing wrong?

Attaching sheet below (issue marked yellow in background): N_1.mw