jjennylove

 While you were composing the answer I used your explanation from the question before and it helped me be more certain on C and now with the explanation above it is clear it is C .  Thank You

Much more easier then I anticipated. I was thinking it was that one but I found it more diffuclt but seeing the steps you used which are more simple . Thank you

Thank you so much for your information I will use this as a reference when building my own product .

For the last bit,is there anyway you would be able to help me , how would I find the constraints and model the programming ?you dont have to give me the exact answer but just a tip on how I would ? I am sorry I am  confused with these .

Im sorry I read your response wrong, that would be the equation .That makes sense . Thank for your help .

I as well posted the last part thats connected to these question if there anyway you could give a look at it. I would really aprrectiate and if you could explain how and the equations used,i would really like to make notes of this for future reference! Thank you again 

For question 1 , I see how you showed it algebraically when they intersect, but how would I comprare the volumes with that information since it asks to compare the volumes of X ? Would the difference be where they intersect  ?

I was wondering if theres anyway you could help me with some algebra questions ?

That is what I was thinking but steps you provided helped me understand it more. Thank you

Got it! Thank you

It only matters about whether or not the number instead the parentheses is greater or less than 1 ? to determine the answer?