@Carl Love Thankyou i have incorporated that syntax change in my sheet.

I want to simplify Pi;m term  is there any other syntax for it so that the equation is in simple form?

I need to plot 2D graph as mentioned earlier can you help me with the syntax?

@Carl Love 

Let say if I want to plot a 2D graph where the w varies from  52 to 72, I want to show the variation of tau1 and tau2 in a 2D graph? How can i take the value of optimization result i got to plot the graph?
Example:-
Graph1: x-axis is w and y axis is tau1 and tau 2 (variation of tau1 and tau2 as line diagram in the plot)
graph2: x-axis is w and y axis is TRC(tau2,tau1) value

What is the syntax for it ?
I am attaching sheet:Question_loop_divert.mw

@vv Thankyou for reply.

Is there any way to simplify terms. I have used simplify syntax but its not properly simplyfying the equation. Is there any other syntax for that? Because when we analyze the equation it should be presented properly?
I am attaching a sheet:Q5.mw

The equation marked in yellow background need to be simplified in attached sheet.

@vv Showing error while adding Constraint.
Attaching sheet:

Q4.mw

@vv How can i see the constraint Plane in 3 D plot along with objective function(TRC) plot? In your command above there is no constraint given. What is the syntax for that?

@vv Still showing error in plot

I am attaching a file where error occuring when I am adding constraint 3 in Maximization function. Can anyone help me with syntax?
Q3.mw


In 3d plot Can we show the constraint plane? If yes how to add that?

Optimal value in plot and maximize function is not same? why?

@Carl Love Thankyou for reply. Can we conditions for the above solve function like by assuming Clr>Clm , Rom>Rem etc?

@acer Thankyou. I had made changes as suggested..But in some cases it is not giving results and its taking so much time. I have marked that in yellow background.

Attaching sheet: N_1.mw

@Carl Love Thankyou for reply.

The minimum value x can take is just above zero or as it approach near to zero from positive side. 

@acer  I apologize for the earlier inconvenience. I need assistance in creating a table or understanding the syntax to do so. I am having difficulty generating a table for different parameter values provided in the DATA section. In the attached sheet, mu and gamma are constant parameters in the DATA. However, I want to understand how changes in mu and gamma affect the results. At the end of the sheet, I have included an example to illustrate what I need and how I want the table to be generated. Thankyou

Table_n1.mw

@acer Thank you for the feedback given so far. Thank you for your patience. I will try to resolve it myself. If I have some syntax issues, I will ask. Thank you for your time and consideration.

@acer Hi ! Can you look into above problem and can you please suggest on the mistakes i have made? If possible can you help in viisualizing the problem using plot..as earlier done. I think i had made some mistakes in syntax?

@acer Thankyou for reply!

I am attaching a new sheet in which i encounter some errors.
F_1.mw
1. In the below sheet you will see q is function of p , and eta is a function of q. When in some function if i substitute the eta and q, I am not getting that function in the form of only p.  Example C1b, C2b in sheet.
2. I am unable to find the hessian matrix its showing some error.
3. Showing error in optimization. The image i am attaching below:

4. Showing error in plot. 

@mmcdara Can you look into below attached sheet. It is not considering constraint 1. If constraint 1 is removed then the sigma value is shown as zero. What can be reason that sigma is zero?

G1.mw

error: