Thanks for the comment Soldier. In the classroom we sometimes focus on the detailed understanding of the concept and the logic of the method. Here I have been functional. So if you link this to what your professor was teaching, maybe you will see more sense in his methods.
this legit taught me more than my lecturers did in a week. It took me 2 hrs looking through slides and notes and cannot find whats going on. but this 5min video made me understood everything. thank you so much!!!
I have spend hours trying to find a simple easy to understand solver video. Thank you very much because this is one of the best videos I have found. It took me only 5 mins to solve a problem .
Thank you so much for this video. 11 years later and it perfectly covers the content covered in my 300 level college course. I'm approaching finals, and I appreciate the conciseness and simplicity of your explanations.
Thanks Raju. The appreciation, and the fact that you propose to use it in your class makes all the effort worth it. As of now, I have not put any examples for project situations and will do so in the future. Please do check the other videos also - especially the one on Assignment and Production Planning, they might be of use.
It is precise at the point, no confusion, no any thing hard, even it very use full those who think LP can not learn. it is so easy to learn LP with SOLVER.
Very useful video! I attended a lecture on this and although I found it useful and interesting, I didn't actually grasp how to do it. I can now use solver with ease!! Thanks
I just wanted to thank you for this video it was very easy to get my head around as I was really struggling with a bigger problem then this and it helped me enormously. I am so very grateful I was just about to give up and submit my assignment without doing the question and I hope to do well at it now.
I have A.D.D. and as a dyslectic i met great difficulties in everything about Solver - the university book, youtube videos, excel help...that, till i saw this video and not only solved the problem right away but also i understood the methodology. I have to thank you. You must be one fine Professor.
Thank you very much Ntina for leaving this message. I am glad the video could help you. Now with problems related to solver out of the way, Operations Research should be much more fun.
Thank you for sharing this video. It was helpful in reminding me how to use solver. With respect, I must say that I think your formulation is incorrect. I think that you need four decision variables (# of chairs made on M1, # of chairs made on M2, # of tables made on M1, and # of tables made on M2). If you do it this way, then the constraint on M1 being less than or equal to 200 hours is dependent only on what M1 produces and not on all of the chairs and tables produced by both machines. I solved it with these extra two decision variables and found a solution of 50 chairs from M1 and 80 tables from M2 (0 tables for M1 and 0 chairs from M2), which results in $4700 in profit. If you check the constraints, you'll see that this is a feasible solution. Again, thank you very much for making this video. It really was very helpful!
HI Ryan, thanks for the feedback. I should have been more clear in the video. I had intended to mention that the chairs and tables have to sequentially go through both machines. So, they first go to M1 and then to M2. With this we need only two constraints. If we assume that either of the machines can make both the products we would surely need four constraints.
When I saw that the video was only 5 minutes long, I thought that I had probably googled the wrong name for my problem. Turns out this isn't nearly as complicated as I thought after my buffoon of a teacher tried to explain it. Thanks so much!
Great explanation but why is the answer only 50 chairs? I get it on Machine M1 has to be less than 200 hours, but on M2 it has to be 400 hours. Wouldnt the solution be to be closer to capacity on Machine M2?
The assumption here is that the viewer is convinced that the Linear Programming gives the best (optimum) solution. The video is just about the mechanics. Alternatively, it is possible to input different values of the decision variables (tables and chairs) and check if the contribution exceeds the value arrived at by MS Excel.
Thanks Piyush - very clearly explained . I am going to use it in a class on project management .Do you have LP examples for resource optimization - project situations . Thanks once again - appreciate yr effort .
Schurman Orchards has apple trees and cherry trees. The apples and cherries that are grown at Schurman Orchards are used to produce both apple cider and cherry cider. Weekly sales commitments by the owners of Schurman Orchards require at least 50 gallons of apple cider and at least 20 gallons of cherry cider. Schurman Orchards has the weekly capacity to produce at least 100 gallons of apple cider or at least 50 gallons of cherry cider or any linear combination of apple cider and cherry cider. Each gallon of apple cider cost Schurman Orchards $4; each gallon of cherry cider cost $6. a. Set up the appropriate linear program b. Solve the result of (a) using the simplex algorithm.
Very helpful lesson! I'm searching for a lecture in how to test a validation of consistency of any LP model construct and results. I would appreciate if you provide any helpful source. Many Thanks.
sir...just wondering...why the solver did not suggest we make any table since the question objective is to optimize the mix of chair and table?is there anything need to be adjusted in the solver so that both chair and table can be produced and at the same time maximize its profits?
+Farahin Hanani The solver always suggests ways to maximise the contribution. In this case, if you produce tables, your contribution is likely to come down. If you have to make tables, add it as a constraint. I think the third video in this series does this. Check it.
Maybe Ive missed a point, but how can the contribution be maximized when Machine 2 still has 150 available hours? Shouldnt Machine 1 produce 50 chairs and Machine 2 produce 80 tables?
Thanks for sharing this concern Marhau. In the case, the chairs and tables need both machines M1 and M2 and not either M1 or M2. So, even though M2 has slack capacity, we can;t produce more since M1 does not have slack capacity. Does this help?
Create a constraint for the mix ratio. Say the mix ratio is 1:r, where for every 1 chair we need r tables. If c is the number of chairs made and t is the number of tables made then cr = t, or cr - t = 0. Does this help?
Piyush Sir, maybe I'm missing something. When I see that M2 can make a table or chair in the same 5 hours time, and table makes makes more money, then M2 should only make tables. 80 tables in 400 hours @ 5 hours each. Total contribution 3200. M1 is more efficient at chairs than tables. It makes 1.75 chairs in time it takes for 1 table. If table costs more than 1.75x of chair, then M1 should make tables as well, or else chairs. Since 40/30 = 1.33 < 1.75, M1 should make chairs. 50 chairs in 200 hours @ 4 hours each. Total contribution 1500. Grand total contribution 4700. Please correct if wrong. Or if I ended up looking at this in a non-linear way somehow. Thanks.
Tables and chairs needs to go through both M1 and M2 to be made. So, a product first goes to M1 and then to M2. If we assume that both the machines can individually make the products, your assertion is correct.
+Gabriela Hernandez Are you referring to the graphical methods for solving an LP? I don't think we can use these tables to create the graphs. But, I am sure there would be some software (possibly free) that would allow you to apply the graphical method.
Great video! I just had a question, if we utilize the entire 400 hours on M2, we will get more contribution, but why didn't solver take this into consideration?
By contribution you mean the amount of money need to pay in order to produce table or chair ? also I am using 2010 Excel, in the solver options shall I change it from GRG Nonlinear to Simple LP ?
in this video or tutorial, could it be identified also as Computer solution since it uses MS Excel? or it simplified the problem using the excel but not actualy the Computer Solution for Linear Programming?? thanks..
We need both M1 and M2 to make the tables and chairs. It is as if M1 cuts the wooden pieces and M2 joins them. So, if we have excess capacity in M2, that excess is wasted and is unusable.
Hello, I have a lot more complex problem than the one you showed me. I would be glad if you could help me out on this. Lets take an analogy of some Ores. a,b,c,d,e. These Ores have minerals A,B,C,D,E in them. For Example 500 Units of a will have 100 units of A and 50 Units of B and so on. In the end I know how much minerals A,B,C,D,E I want. And I wan't to know what ores I should obtain to get those minerals and how many units of those ores. How would I calculate that?
HI Sarthak, these videos are an introduction to using Excel Solver for LP and thats why simple problems have been used. For your problem, I guess minimising the cost or Ores a,b,...would be the objective. The decision variables would be the units of each of the Ores to purchase. The constraints would be to have the minimum or maximum units or minerals. So, for example Each Ore 'a' has 0.2 units of 'A', and each Ore 'b' has 0.3 units of A then 0.2a+0.3b is the units of the Mineral 'A'. This you have to compare with the condition in the problem for the Mineral A.
Hello sir,i saw your solver video it was excelent,can you please help us with shortest route problem solver,if you can do a video i would really appreciate it.Thakyou sir
hi sir.. i was just wondering cause when while we tried that at school, there exist answer reports everytime we solve it though solve.. how am i suppose to do that? Btw, you lecture is great.
Great explanation of how to use it, but I don't think solver has truly optimised the contribution - you still have 150 hrs left to use on M2. If you think about the numbers alone, it's more efficient to make chairs on M1 (contribution per hour of tables is 5.7 rupees/hr vs 7.5 rupees/hr for chair), however it's more efficient to use machine m2 to make tables (tables 8 rupees/hr vs chairs 6 rupees/hr). Thought of in another way, if it takes M2 5 hours to make a table or a chair, and a table gives a greater contribution, you would pick tablets to make.
Piyush Shah is there a little error? You are not maximizing the available capacity of machine M2? The constraint of this whole maximizing function will be always the machine with the lowest available hours and I believe we should separate those two constraints.
Hi am not sure how its working , if we are making 50 chairs and utilizing all 200 hours from M1. Then number of chairs made by M1 is 200/4 which is 50 chairs , i.e. OP of LP. Then what does the 250 hours from M2 contributes to ? Or does it mean 50 chairs from both M1 and M2 if that the case why not use all 400 hours from M2 ??
Hi Amir, the chairs need both M1 and M2, and not either M1 or M2. Imagine that M1 cuts wood and M2 joins the cut wood. Does this help clear the confusion?
This 5 minute video just taught me more than my professor could in 40 minutes! Just save me, thanks!
Thanks for the comment Soldier. In the classroom we sometimes focus on the detailed understanding of the concept and the logic of the method. Here I have been functional. So if you link this to what your professor was teaching, maybe you will see more sense in his methods.
Very true!
@@piyushashah1 hello can you teach me
Excellent tutorial. Crisp and to the point. Did not waste even a single second and every second had useful content.
Attention all producers of youtube video tutorials. THIS is how it should be done. Short and effective. Very nice work, my friend. Thank you!
Thank you for this wonderful comment. Do have a look at the other videos in this series as well.
this legit taught me more than my lecturers did in a week. It took me 2 hrs looking through slides and notes and cannot find whats going on. but this 5min video made me understood everything. thank you so much!!!
This just felt like a blessed video. Entire complication summarized beautifully in one video. Very smooth, clear and wonderfully explained!!
I have spend hours trying to find a simple easy to understand solver video. Thank you very much because this is one of the best videos I have found. It took me only 5 mins to solve a problem .
Thank you so much for this video. 11 years later and it perfectly covers the content covered in my 300 level college course. I'm approaching finals, and I appreciate the conciseness and simplicity of your explanations.
Very useful video. Straight to the point, with all the emphasis being directed toward the subject matter. Professionally done and much appreciated.
After 2 weeks of being lost on this topic, you taught me how to do it in 10 minutes. Thank you!
Thanks Raju. The appreciation, and the fact that you propose to use it in your class makes all the effort worth it. As of now, I have not put any examples for project situations and will do so in the future. Please do check the other videos also - especially the one on Assignment and Production Planning, they might be of use.
It is precise at the point, no confusion, no any thing hard,
even it very use full those who think LP can not learn.
it is so easy to learn LP with SOLVER.
Very useful video! I attended a lecture on this and although I found it useful and interesting, I didn't actually grasp how to do it. I can now use solver with ease!! Thanks
Thanks for leaving the comment. Did you check my other solver videos? Have a look, they might just make using solver even more easier.
Thank you sir , revising this before my business maths practical
This video really helped my understanding of formulation of linear problems. Thank you for the knowledge!
Thanks for the comment. I'm happy that the video was helpful for you.
I just wanted to thank you for this video it was very easy to get my head around as I was really struggling with a bigger problem then this and it helped me enormously. I am so very grateful I was just about to give up and submit my assignment without doing the question and I hope to do well at it now.
With this simple video you just made me completely understand this part. Thank you very much!
Best tutorial on excel solver with LP problems there is!
+VonNeumannOperator Thanks a lot for leaving the comment.
HI Lakshit, thanks for the feedback. Happy that the video helped you. Do have a look at the other videos as well
A nice explanation than any video I have seen.
this is awsome piyush i understood compeltely....
i have my xam tomorrow.... so thanx a ton for this one... really appreciate the effort
I have A.D.D. and as a dyslectic i met great difficulties in everything about Solver - the university book, youtube videos, excel help...that, till i saw this video and not only solved the problem right away but also i understood the methodology. I have to thank you. You must be one fine Professor.
Thank you very much Ntina for leaving this message. I am glad the video could help you. Now with problems related to solver out of the way, Operations Research should be much more fun.
Piyush, its simple and made me so clear on the solver. Thanks a lot. A good start for solver...
Thank you for sharing this video. It was helpful in reminding me how to use solver.
With respect, I must say that I think your formulation is incorrect. I think that you need four decision variables (# of chairs made on M1, # of chairs made on M2, # of tables made on M1, and # of tables made on M2). If you do it this way, then the constraint on M1 being less than or equal to 200 hours is dependent only on what M1 produces and not on all of the chairs and tables produced by both machines. I solved it with these extra two decision variables and found a solution of 50 chairs from M1 and 80 tables from M2 (0 tables for M1 and 0 chairs from M2), which results in $4700 in profit. If you check the constraints, you'll see that this is a feasible solution.
Again, thank you very much for making this video. It really was very helpful!
HI Ryan, thanks for the feedback. I should have been more clear in the video. I had intended to mention that the chairs and tables have to sequentially go through both machines. So, they first go to M1 and then to M2. With this we need only two constraints. If we assume that either of the machines can make both the products we would surely need four constraints.
I have the same solution.
That is what you did say, I understood it fine and agree with your solution@@piyushashah1
Thank you soooo much. I was struggling with this topic in school. You explained it so simply.
Absolutely great video. It's nice having a simple way to check my answers in Linear Programming.
thank you soo much...u just help me finished my final assignment...i don't have any idea to solve the question before i saw this video
When I saw that the video was only 5 minutes long, I thought that I had probably googled the wrong name for my problem. Turns out this isn't nearly as complicated as I thought after my buffoon of a teacher tried to explain it. Thanks so much!
Thank you sir....it is really helpful
Thanks for uploading the video! I'm learning this in class using a bigger problem so it's nice to see the breakdown on a simple one first.
Thanks for leaving a comment Peterson.
A very clear (in its content) and precise video. Keep it up. Thank You for explaining the use of Excel solver in such a simple way.
Thank YOU LRJ. It was nice of you to leave this message.
This has been very helpful. It was clear to follow along. Thank you very much!
Good video.
Great video, very sinple to understand and gets to the point, helped a lot with my schoolwork, found it just when I was about to give up lol, ty! :)
Thanks Piyush, you are really clear in your explanation of how do solve problems!
Nice video Sir I used to be your student really misss your lectures......I don't think anyone can teach Operations Management the way u taught us!!
Thanks a lot for the comment. Really appreciate it. .Where did I teach you?? Sorry can't make out from your screen name here.
you are the best sir, may god bless you
It was a simple and easy to understand beginner. Thank.
Thank you for viewing the video and leaving comments. Please do go through other videos on LP, they should help.
Great explanation. Thank you, this helped me.
My concept got cleared . Huge thanks .
thank you
Good job Kartik!
Great explanation but why is the answer only 50 chairs? I get it on Machine M1 has to be less than 200 hours, but on M2 it has to be 400 hours. Wouldnt the solution be to be closer to capacity on Machine M2?
It's because the chairs and tables need both M1 and M2 and not M1 or M2.
I'm having more fun solving operation research problems lol Thanks for the help again.
OR is supposed to be fun, enjoy it.
Thank you, you made it easier.
Glad the video help, and thanks for leaving this comment.
Very helpful, thank you.
Good job Piyush!! We have the same question here in Canada except it's in CAD.
+Juhi K. Thanks for leaving the comment Juhi. What is CAD? Is it designing software you are referring to?
+Re Ma Opps...I hope with technology we can create videos so that they speak the currency in the native units.
Couldn't have done this better. THANKS !
+barissimo111 Thanks a lot for leaving the comment. Did you see the other videos in this series? They may also be helpful.
+Piyush Shah yes the videos are great thank you ! Subscribed :D
The assumption here is that the viewer is convinced that the Linear Programming gives the best (optimum) solution. The video is just about the mechanics. Alternatively, it is possible to input different values of the decision variables (tables and chairs) and check if the contribution exceeds the value arrived at by MS Excel.
Sir, the newer excel version asks to set an objective. What should that be regarding this problem?
Great video! Big exam coming up, appreciate this a lot
Thank you for the great tutorial solving linear problem using Excel solver is the best for me :::::)
Easy and quick.
Excellent explanation and very clear! Thank you
Thanks Piyush - very clearly explained . I am going to use it in a class on project management .Do you have LP examples for resource optimization - project situations . Thanks once again - appreciate yr effort .
Thank you very much. This really helped my friends and I. A tip: you may advise people how to download solver
+rose muthee Thanks for the tip Rose. I will try to include it in this video itself.
+Piyush Shah sir i have a problem about lp and i couldnt solve it can u help me
What is it?
Schurman Orchards has apple trees and cherry trees. The apples and cherries that are grown at Schurman Orchards are used to produce both apple cider and cherry cider. Weekly sales commitments by the owners of Schurman Orchards require at least 50 gallons of apple cider and at least 20 gallons of cherry cider. Schurman Orchards has the weekly capacity to produce at least 100 gallons of apple cider or at least 50 gallons of cherry cider or any linear combination of apple cider and cherry cider. Each gallon of apple cider cost Schurman Orchards $4; each gallon of cherry cider cost $6.
a. Set up the appropriate linear program
b. Solve the result of (a) using the simplex algorithm.
Thanks. This is really helpful. Two thumbs up!
Thank you. A clear explanation and a great video o refresh my memories.
Thank you very much for this beneficial and simple explanation
Many thanks to you.. it is very useful and helped me during my study :)
Very helpful lesson! I'm searching for a lecture in how to test a validation of consistency of any LP model construct and results. I would appreciate if you provide any helpful source.
Many Thanks.
thank you so much! you've saved my day
God bless you and your wisdom! Thank you!!!
Thank you very much, Nice work. Simple and direct!
This probably just saved me from failing my midterm. Thank you!
thank you so much sir. Now I will get a good grade on my test !
sir...just wondering...why the solver did not suggest we make any table since the question objective is to optimize the mix of chair and table?is there anything need to be adjusted in the solver so that both chair and table can be produced and at the same time maximize its profits?
+Farahin Hanani The solver always suggests ways to maximise the contribution. In this case, if you produce tables, your contribution is likely to come down. If you have to make tables, add it as a constraint. I think the third video in this series does this. Check it.
This was a perfectly clear explanation, thank you!
Maybe Ive missed a point, but how can the contribution be maximized when Machine 2 still has 150 available hours? Shouldnt Machine 1 produce 50 chairs and Machine 2 produce 80 tables?
Thanks for sharing this concern Marhau. In the case, the chairs and tables need both machines M1 and M2 and not either M1 or M2. So, even though M2 has slack capacity, we can;t produce more since M1 does not have slack capacity. Does this help?
how to compute if its required to make both tables and chair and no binding on qty ? optimum mix of both.. tx for sharing
Create a constraint for the mix ratio. Say the mix ratio is 1:r, where for every 1 chair we need r tables. If c is the number of chairs made and t is the number of tables made then cr = t, or cr - t = 0. Does this help?
Great video. Thanks!
This was a great help, thank you.
Piyush Sir, maybe I'm missing something. When I see that M2 can make a table or chair in the same 5 hours time, and table makes makes more money, then M2 should only make tables. 80 tables in 400 hours @ 5 hours each. Total contribution 3200.
M1 is more efficient at chairs than tables. It makes 1.75 chairs in time it takes for 1 table. If table costs more than 1.75x of chair, then M1 should make tables as well, or else chairs. Since 40/30 = 1.33 < 1.75, M1 should make chairs. 50 chairs in 200 hours @ 4 hours each. Total contribution 1500.
Grand total contribution 4700. Please correct if wrong. Or if I ended up looking at this in a non-linear way somehow. Thanks.
Tables and chairs needs to go through both M1 and M2 to be made. So, a product first goes to M1 and then to M2. If we assume that both the machines can individually make the products, your assertion is correct.
Piyush Shah Should have focused on M1 'and' M2. Thanks :)
Thank you very much it helped me a lot...
thank you, you explanations are very helpful.
its vry clear n simple.. thanks.. :)
How does one show the results graphically from the tables you created in this video?
+Gabriela Hernandez Are you referring to the graphical methods for solving an LP? I don't think we can use these tables to create the graphs. But, I am sure there would be some software (possibly free) that would allow you to apply the graphical method.
+Piyush Shah i just wondering if u do an assignment for student. email me at mariamawiw@gmail.com
Tatek Dinku No I Don't Tatek. Best wishes.
Great video! I just had a question, if we utilize the entire 400 hours on M2, we will get more contribution, but why didn't solver take this into consideration?
You can't use entire capacity on M2 as M1 capacity is limited. A process needs both M1 and M2 together
Very well explained.
THANK YOU!!! This helped me tremendously!
By contribution you mean the amount of money need to pay in order to produce table or chair ? also I am using 2010 Excel, in the solver options shall I change it from GRG Nonlinear to Simple LP ?
Hani Albarni Contribution is the subtraction of variable cost from selling price. In 2010 Excel, use Simplex LP.
This helped my out a lot! Thank you so much!
Very helpful video, thanks!!
Very Helpful video. All the way from SG!!!:)
in this video or tutorial, could it be identified also as Computer solution since it uses MS Excel? or it simplified the problem using the excel but not actualy the Computer Solution for Linear Programming?? thanks..
I would say it is an MS Excel based tutorial. The problem is solved using the Solver addin of MS Excel. Did you find the video useful?
can't we use remaining number of machine hours of M2 to produce more tables and chairs
We need both M1 and M2 to make the tables and chairs. It is as if M1 cuts the wooden pieces and M2 joins them. So, if we have excess capacity in M2, that excess is wasted and is unusable.
Hello, I have a lot more complex problem than the one you showed me. I would be glad if you could help me out on this. Lets take an analogy of some Ores. a,b,c,d,e. These Ores have minerals A,B,C,D,E in them. For Example 500 Units of a will have 100 units of A and 50 Units of B and so on. In the end I know how much minerals A,B,C,D,E I want. And I wan't to know what ores I should obtain to get those minerals and how many units of those ores. How would I calculate that?
HI Sarthak, these videos are an introduction to using Excel Solver for LP and thats why simple problems have been used. For your problem, I guess minimising the cost or Ores a,b,...would be the objective. The decision variables would be the units of each of the Ores to purchase. The constraints would be to have the minimum or maximum units or minerals. So, for example Each Ore 'a' has 0.2 units of 'A', and each Ore 'b' has 0.3 units of A then 0.2a+0.3b is the units of the Mineral 'A'. This you have to compare with the condition in the problem for the Mineral A.
Hello Piyushji
Can you please help me to in this I am struggling in my assignment of Modeling the supply chain.
Hello sir,i saw your solver video it was excelent,can you please help us with shortest route problem solver,if you can do a video i would really appreciate it.Thakyou sir
HI Abhi, will surely try to host that in the next 10 days.
I don't have analytic solver in excel. can anyone tell me how to get it?
Awesome vid. Thank you.
so well explained :)
Thanks a lot for the comment Ragini.
Thank you very much, Mr. Shah!
hi sir.. i was just wondering cause when while we tried that at school, there exist answer reports everytime we solve it though solve.. how am i suppose to do that? Btw, you lecture is great.
Great explanation of how to use it, but I don't think solver has truly optimised the contribution - you still have 150 hrs left to use on M2. If you think about the numbers alone, it's more efficient to make chairs on M1 (contribution per hour of tables is 5.7 rupees/hr vs 7.5 rupees/hr for chair), however it's more efficient to use machine m2 to make tables (tables 8 rupees/hr vs chairs 6 rupees/hr). Thought of in another way, if it takes M2 5 hours to make a table or a chair, and a table gives a greater contribution, you would pick tablets to make.
Oh yep, I just scrolled further down in the comments. The furniture has to go through both machines, not just one. Thanks @Shrujanam Syama
Piyush Sir, you also need to add that the number of tables and chairs should be non negative. Is my understanding wrong?
Correct Manisha. At around @4:44 I talk about non-negativity.
Thank you for this. Right to the point.
Piyush Shah is there a little error? You are not maximizing the available capacity of machine M2? The constraint of this whole maximizing function will be always the machine with the lowest available hours and I believe we should separate those two constraints.
THANK YOU SO MUCH! THIS HELPED A LOT!
Hi am not sure how its working , if we are making 50 chairs and utilizing all 200 hours from M1. Then number of chairs made by M1 is 200/4 which is 50 chairs , i.e. OP of LP. Then what does the 250 hours from M2 contributes to ? Or does it mean 50 chairs from both M1 and M2 if that the case why not use all 400 hours from M2 ??
Hi Amir, the chairs need both M1 and M2, and not either M1 or M2. Imagine that M1 cuts wood and M2 joins the cut wood. Does this help clear the confusion?
@@piyushashah1 Thanks for the Clarification, You got a subscriber :)
Thank you!that was really helpful!!
Thanks - video really helped!!
thank you great explanation